Differentiation And Integration Quotes

Only by taking infinitesimally small units for observation (the differential of history, that is, the individual tendencies of men) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.

Integration is not the same as blending. Integration requires that we maintain elements of our differentiated selves while also promoting our linkage. Becoming a part of a "we: does not mean losing a "me." Integration as a focus of intervention among a range of domains of integration becomes the fundamental basis for how we apply interpersonal neurobiology principles to the nurturing of healthy relationships.

The aim of Mathematical Physics is not only to facilitate for the physicist the numerical calculation of certain constants or the integration of certain differential equations. It is besides, it is above all, to reveal to him the hidden harmony of things in making him see them in a new way.

The cure for the disaster of modernity is to address the dissociation, not attempt to erase the differentiation!

Courage is the capacity to meet the anxiety which arises as one achieves freedom. It is the willingness to differentiate, to move from the protecting realms of parental dependence to new levels of freedom and integration.

Culture : It is what happens to your body when it assumes room temperature No mind body differentiation there only integration here

Intellectualization is very commonly encountered as well, since it is a defense mechanism of great power. It can have disastrous results, however, when the mind ignores the vital messages of the body (see my reflections on Nietzsche’s illness in The Untouched Key [1990] and Breaking Down the Wall of Silence [1991]). All these defense mechanisms are accompanied by repression of the original situation and the emotions belonging to it. Accommodation to parental needs often (but not always) leads to the “as-if personality.” This person develops in such a way that he reveals only what is expected of him and fuses so completely with what he reveals that one could scarcely guess how much more there is to him behind this false self. He cannot develop and differentiate his true self, because he is unable to live it. Understandably, this person will complain of a sense of emptiness, futility, or homelessness, for the emptiness is real. A process of emptying, impoverishment, and crippling of his potential actually took place. The integrity of the child was injured when all that was alive and spontaneous in him was cut off. In childhood, these patients have often had dreams in which they experienced themselves as at least partly dead. A young woman, Lisa, reported a recurrent dream:

The essential task ahead requires formulating an adequate doctrine, upholding principles that have been thoroughly studied, and, beginning from these, giving birth to an Order. This elite, differentiating itself on a plane that is defined in terms of spiritual virility, decisiveness, and impersonality, and where every naturalistic bond loses its power and value, will be the bearer of a new principle of a higher authority and sovereignty; it will be able to denounce subversion and demagogy in whatever form they appear and reverse the downward spiral of the top-level cadres and the irresistible rise to power of the masses. From this elite, as if from a seed, a political organism and an integrated nation will emerge, enjoying the same dignity as the nations created by the great European political tradition. Anything short of this amounts only to a quagmire, dilettantism, irrealism, and obliquity.

Can people of color be racist?” I reply, “The answer depends on your definition of racism.” If one defines racism as racial prejudice, the answer is yes. People of color can and do have racial prejudices. However, if one defines racism as a system of advantage based on race, the answer is no. People of color are not racist because they do not systematically benefit from racism. And equally important, there is no systematic cultural and institutional support or sanction for the racial bigotry of people of color. In my view, reserving the term racist only for behaviors committed by whites in the context of a white-dominated society is a way of acknowledging the ever-present power differential afforded whites by the culture and institutions that make up the system of advantage and continue to reinforce notions of white superiority. (Using the same logic, I reserve the word sexist for men. Though women can and do have gender-based prejudices, only men systematically benefit from sexism.)

The way of faith is always an integrated, single way. Whereas, the way of wisdom is always a highly differentiated, capricious way.

integration - a state of unity with differentiation. In a fully integrated system, each part maintains its unique identity while operating in coordination with other parts of the system.

Differential calculus has to do with rates of change. Integral calculus has to do with sums of many tiny incremental quantities. It’s not immediately obvious that these have anything to do with each other, but they do.

Call the mania intellectual integrity, call it impertinence if you will. In any event that impertinence, that intellectual integrity, is one of my most conspicuous traits and one that differentiates me from the majority of my contemporaries.

The integrals which we have obtained are not only general expressions which satisfy the differential equation, they represent in the most distinct manner the natural effect which is the object of the phenomenon... when this condition is fulfilled, the integral is, properly speaking, the equation of the phenomenon; it expresses clearly the character and progress of it, in the same manner as the finite equation of a line or curved surface makes known all the properties of those forms.

The ultimate goal of a meteorologist is to set up differential equations of the movements of the air and to obtain, as their integral, the general atmospheric circulation, and as particular integrals the cyclones, anticyclones, tornados, and thunderstorms.

Differentiation implies a movement toward uniqueness, toward separating oneself from others. Integration refers to its opposite: a union with other people, with ideas and entities beyond the self. A complex self is one that succeeds in combining these opposite tendencies.

family must be both differentiated and integrated. Differentiation means that each person is encouraged to develop his or her unique traits, maximize personal skills, set individual goals. Integration, in contrast, guarantees that what happens to one person will affect all others.

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school—roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply.

If we are enveloped in images, we are also enveloped in forms, in spirit, which is nature, and in nature, which is spirit. Daily and continually we associate with this unified world of nature and spirit without knowing it. But only the person to whom this association has become clear understands what is meant when we talk of Sophia as a heightened and spiritualized earth. But this formulation is already distorted as well. The earth has not changed at all, it is neither heightened and spiritualized: it remains what is always was. Only the person who experiences this Earth Spirit has transformed himself, he alone is changed by it and has, perhaps, been heightened and spiritualized. However, he too remains what he always was and has only become, along with the earth, more transparent to himself in his own total reality. Here also we must differentiate between the reality of our total existence and the differentiating formulations of our consciousness. Certainly, our consciousness makes the attempt to separate a spiritual from a natural world and to set them in opposition, but this mythical division and opposition of heaven and earth proves more and more impracticable. If, in the process of integration, consciousness allies itself with the contents of the unconscious and the mutual interpenetration of both systems leads to a transformation of the personality, a return to the primordial symbolism of the myth ensues. Above and below, heaven and earth, spirit and nature, are experienced again as coniunctio, and the calabash that contains them is the totality of reality itself.

Furious, the beast writhed and wriggled its iterated integrals beneath the King’s polynomial blows, collapsed into an infinite series of indeterminate terms, then got back up by raising itself to the nth power, but the King so belabored it with differentials and partial derivatives that its Fourier coefficients all canceled out (see Riemann’s Lemma), and in the ensuing confusion the constructors completely lost sight of both King and beast. So they took a break, stretched their legs, had a swig from the Leyden jug to bolster their strength, then went back to work and tried it again from the beginning, this time unleashing their entire arsenal of tensor matrices and grand canonical ensembles, attacking the problem with such fervor that the very paper began to smoke. The King rushed forward with all his cruel coordinates and mean values, stumbled into a dark forest of roots and logarithms, had to backtrack, then encountered the beast on a field of irrational numbers (F1) and smote it so grievously that it fell two decimal places and lost an epsilon, but the beast slid around an asymptote and hid in an n-dimensional orthogonal phase space, underwent expansion and came out, fuming factorially, and fell upon the King and hurt him passing sore. But the King, nothing daunted, put on his Markov chain mail and all his impervious parameters, took his increment Δk to infinity and dealt the beast a truly Boolean blow, sent it reeling through an x-axis and several brackets—but the beast, prepared for this, lowered its horns and—wham!!—the pencils flew like mad through transcendental functions and double eigentransformations, and when at last the beast closed in and the King was down and out for the count, the constructors jumped up, danced a jig, laughed and sang as they tore all their papers to shreds, much to the amazement of the spies perched in the chandelier-—perched in vain, for they were uninitiated into the niceties of higher mathematics and consequently had no idea why Trurl and Klapaucius were now shouting, over and over, “Hurrah! Victory!!

As Harvard developmental psychologist Howard Gardner reminds us, The young child is totally egocentric—meaning not that he thinks selfishly only about himself, but to the contrary, that he is incapable of thinking about himself. The egocentric child is unable to differentiate himself from the rest of the world; he has not separated himself out from others or from objects. Thus he feels that others share his pain or his pleasure, that his mumblings will inevitably be understood, that his perspective is shared by all persons, that even animals and plants partake of his consciousness. In playing hide-and-seek he will “hide” in broad view of other persons, because his egocentrism prevents him from recognizing that others are aware of his location. The whole course of human development can be viewed as a continuing decline in egocentrism.2

A self that is only differentiated—not integrated—may attain great individual accomplishments, but risks being mired in self-centered egotism. By the same token, a person whose self is based exclusively on integration will be connected and secure, but lack autonomous individuality. Only when a person invests equal amounts of psychic energy in these two processes and avoids both selfishness and conformity is the self likely to reflect complexity.

They consider people who don't know Hamlet from Macbeth to be Philistines, yet they might merrily admit that they don't know the difference between a gene and a chromosome, or a transistor and a capacitor, or an integral and differential equation. These concepts might seem difficult. Yes, but so, too, is Hamlet. And like Hamlet, each of these concepts is beautiful. Like an elegant mathematical equation, they are expressions of the glories of the universe.

The concept of self as a solo thing is so toxic to the way we relate to one another and the earth-it's so non integrative,when integration is not present you get chaos and rigidity. That's what we are seeing in depression, anxiety and suicide and that's what we are seeing in climate change issues. So whether you are talking about social justice issues, or climate injustices, its all about us as a contemporary culture missing the reality of interconnection.....If we Identify this problem it can be a win win win. For the individual you can liberate yourself from the idea of a separate self, for our human relationships we will realize we are all one human family differentiated but linked, and for the planet which is waiting for us to wake up . Human beings have excessively differentiated themselves from nature and so we are using the earth like a trash can. Instead of realizing that we are fundamentally interconnected to nature and that's a true way to live an integrated life. People all around the earth are waiting for to wake up from this weird slumber of a delusion of a separate self

pure mathematics, but these were very great indeed, and were indispensable to much of the work in the physical sciences. Napier published his invention of logarithms in 1614. Co-ordinate geometry resulted from the work of several seventeenth-century mathematicians, among whom the greatest contribution was made by Descartes. The differential and integral calculus was invented independently by Newton and Leibniz; it is the instrument for almost all higher mathematics. These are only the most outstanding achievements in pure mathematics; there were innumerable others of great importance.

I live, at all times, for imaginative fiction; for ambivalence, not instruction. When language serves dogma, then literature is lost. I live also, and only, for excellence. My care is not for the cult of egalitarian mediocrity that is sweeping the world today, wherein even the critics are no longer qualified to differentiate, but for literature, which you may notice I have not defined. I would say that, because of its essential ambivalence, 'literature' is: words that provoke a response; that invite the reader or listener to partake of the creative act. There can be no one meaning for a text. Even that of the writer is a but an option. "Literature exists at every level of experience. It is inclusive, not exclusive. It embraces; it does not reduce, however simply it is expressed. The purpose of the storyteller is to relate the truth in a manner that is simple: to integrate without reduction; for it is rarely possible to declare the truth as it is, because the universe presents itself as a Mystery. We have to find parables; we have to tell stories to unriddle the world. "It is a paradox: yet one so important I must restate it. The job of a storyteller is to speak the truth; but what we feel most deeply cannot be spoken in words. At this level only images connect. And so story becomes symbol; and symbol is myth." "It is one of the main errors of historical and rational analysis to suppose that the 'original form' of myth can be separated from its miraculous elements. 'Wonder is only the first glimpse of the start of philosophy,' says Plato. Aristotle is more explicit: 'The lover of myths, which are a compound of wonders, is, by his being in that very state, a lover of wisdom.' Myth encapsulates the nearest approach to absolute that words can speak.

Many people who celebrate the arts and the humanities, who applaud vigorously the tributes to their importance in our schools, will proclaim without shame (and sometimes even joke) that they don’t understand math or physics. They extoll the virtues of learning Latin, but they are clueless about how to write an algorithm or tell BASIC from C++, Python from Pascal. They consider people who don’t know Hamlet from Macbeth to be Philistines, yet they might merrily admit that they don’t know the difference between a gene and a chromosome, or a transistor and a capacitor, or an integral and a differential equation. These concepts may seem difficult. Yes, but so, too, is Hamlet. And like Hamlet, each of these concepts is beautiful.

Well-known neuropsychiatrist Dan Siegel has emphasized the importance of such integration in healing and has described IFS as a good way to achieve that. He writes, “Health comes from integration. It’s that simple, and that important. A system that is integrated is in a flow of harmony. Just as in a choir, with each singer’s voice both differentiated from the other singers’ voices but also linked, harmony emerges with integration. What is important to note is that this linkage does not remove the differences, as in the notion of blending: instead it maintains these unique contributions as it links them together. Integration is more like a fruit salad than a smoothie.”5 This, again, is one of the basic goals of IFS. Each part is honored for its unique qualities while also working in harmony with all the others.

Thus, when the eye-cups (the future retina), which grow out of the brain at the end of two stalks (the future optic nerves), make physical contact with the surface, the skin over the contact area folds into the concave cups and differentiates into transparent lenses (see arrows on the right of the diagram). The eye-cup induces the skin to form a lens, and the lens in its turn induces adjacent tissues to form a transparent horny membrane, the cornea. Moreover, if an eye-cup is transplanted under the skin on the belly of a frog embryo, the skin over it will obligingly differentiate into a lens. We may regard this obligingness or 'docility' of embryonic tissue, its readiness to differentiate into the kind of organ best suited to the tissue's position in the growing organism, as a manifestation of the integrative tendency, of the part's subordination to the interests of the whole.

But complexity consists of integration as well as differentiation. The task of the next decades and centuries is to realize this under-developed component of the mind. Just as we have learned to separate ourselves from each other and from the environment, we now need to learn how to reunite ourselves with other entities around us without losing our hard-won individuality. The most promising faith for the future might be based on the realization that the entire universe is a system related by common laws and that it makes no sense to impose our dreams and desires on nature without taking them into account. Recognizing the limitations of human will, accepting a cooperative rather than a ruling role in the universe, we should feel the relief of the exile who is finally returning home. The problem of meaning will then be resolved as the individual’s purpose merges with the universal flow.

In 1604, at the height of his scientific career, Galileo argued that for a rectilinear motion in which speed increases proportionally to distance covered, the law of motion should be just that (x = ct^2) which he had discovered in the investigation of falling bodies. Between 1695 and 1700 not a single one of the monthly issues of Leipzig’s Acta Eruditorum was published without articles of Leibniz, the Bernoulli brothers or the Marquis de l'Hôpital treating, with notation only slightly different from that which we use today, the most varied problems of differential calculus, integral calculus and the calculus of variations. Thus in the space of almost precisely one century infinitesimal calculus or, as we now call it in English, The Calculus, the calculating tool par excellence, had been forged; and nearly three centuries of constant use have not completely dulled this incomparable instrument.

Societies to be integrated politically through an ideology are typically planned with a concern for the “output” of specifíc, politically desirable effects. For example, planning takes place with an eye to the goals of pow er politics or today especially with an eye to the goals of economic development. Such societies favor goal programs. Goal programs can be meaningful and successful only if the input of the political system can be varied and selected in conformity with the desired results— that is, only if the political system is relatively free to determine what kinds of information will influence it. The social expectations, demands, and conditions of political support must then be regulated ideologically, as soon as they are loosened from the unchanging bonds of tradition through the process of civilization and freed for a greater mobility. “Public Opinión” must be regulated in such a way that the dominance of ideological values and goals is not put into question and that there is only a technical and instrumental discussion about the best means by which to realize them.

So they rolled up their sleeves and sat down to experiment -- by simulation, that is mathematically and all on paper. And the mathematical models of King Krool and the beast did such fierce battle across the equation-covered table, that the constructors' pencils kept snapping. Furious, the beast writhed and wriggled its iterated integrals beneath the King's polynomial blows, collapsed into an infinite series of indeterminate terms, then got back up by raising itself to the nth power, but the King so belabored it with differentials and partial derivatives that its Fourier coefficients all canceled out (see Riemann's Lemma), and in the ensuing confusion the constructors completely lost sight of both King and beast. So they took a break, stretched their legs, had a swig from the Leyden jug to bolster their strength, then went back to work and tried it again from the beginning, this time unleashing their entire arsenal of tensor matrices and grand canonical ensembles, attacking the problem with such fervor that the very paper began to smoke. The King rushed forward with all his cruel coordinates and mean values, stumbled into a dark forest of roots and logarithms, had to backtrack, then encountered the beast on a field of irrational numbers (F_1) and smote it so grievously that it fell two decimal places and lost an epsilon, but the beast slid around an asymptote and hid in an n-dimensional orthogonal phase space, underwent expansion and came out fuming factorially, and fell upon the King and hurt him passing sore. But the King, nothing daunted, put on his Markov chain mail and all his impervious parameters, took his increment Δk to infinity and dealt the beast a truly Boolean blow, sent it reeling through an x-axis and several brackets—but the beast, prepared for this, lowered its horns and—wham!!—the pencils flew like mad through transcendental functions and double eigentransformations, and when at last the beast closed in and the King was down and out for the count, the constructors jumped up, danced a jig, laughed and sang as they tore all their papers to shreds, much to the amazement of the spies perched in the chandelier—perched in vain, for they were uninitiated into the niceties of higher mathematics and consequently had no idea why Trurl and Klapaucius were now shouting, over and over, "Hurrah! Victory!!

You can look at that list and think, “But everyone has hobbies, what’s so special about yours?” Like much of what differentiates an autistic trait from a simple personality quirk, the answer is the degree to which the trait is present. For example, when I took up running, I didn’t just go out and jog a few times a week. I read books about training for marathons. I found workout plans online and joined a training site to get personalized drills. I learned about fartlek and track workouts and running technique. I signed up for road races. Ten years later, I spend more on running clothes and shoes than on everyday clothes. I use a heart rate monitor and a distance tracker to record my workouts. If I go on vacation, I pack all of my running stuff. I don’t just like to run occasionally; running is an integral part of my life. That’s a key differentiator between a run-of-the-mill hobby and an autistic special interest. Spending time engaged in a special interest fulfills a specific need. It’s more than just a pleasant way to pass the time. Indulging in a special interest is a way to mentally recharge. It’s comforting. It allows me to completely immerse myself in something that intensely interests me while tuning out the rest of the world.

There is risk and resistance to coming into being. The Universe itself knew it when it encountered gravitational resistance to expansion, in our very beginnings, in the primordial Flaring Forth. It was never without creative tension. The Universe knows it daily, in every moment. Imbolc can be a time of remembering personal vulnerabilities, feeling them and accepting them, but remaining resolute in birthing and tending of the new, listening for the Urge of the Creative Universe within. Brian Swimme has said (quoting cultural anthropologist A.L. Kroeber) that the destiny of the human is not “bovine placidity” but the highest degree of tension that can be creatively born. For women in the patriarchal cultural context, the Imbolc process/ceremony may be an important integrating expression, used as they might be, to fragmentation in relationship - giving themselves away too easily. This seasonal celebration of individuation/differentiation, yet with integrity/wholeness, especially invoking She-who-is-unto-Herself, can be a significant dedication. However, most Gaian beings have uncertainties, and many specifically about gender/sex and aspects of wholeness and integrity; all new being requires care and commitment. Men also need to return to relationship with the Mother, in themselves and in GaiaEarth: and may choose this Seasonal Moment to re-identify with the ancient traditions of the male as a Caretaker, Shepherd, Gardener – “at-tending,” and Son of the Mother.

In the past few thousand years—a mere split second in evolutionary time—humanity has achieved incredible advances in the differentiation of consciousness. We have developed a realization that mankind is separate from other forms of life. We have conceived of individual human beings as separate from one another. We have invented abstraction and analysis—the ability to separate dimensions of objects and processes from each other, such as the velocity of a falling object from its weight and its mass. It is this differentiation that has produced science, technology, and the unprecedented power of mankind to build up and to destroy its environment. But complexity consists of integration as well as differentiation. The task of the next decades and centuries is to realize this underdeveloped component of the mind. Just as we have learned to separate ourselves from each other and from the environment, we now need to learn how to reunite ourselves with other entities around us without losing our hard-won individuality. The most promising faith for the future might be based on the realization that the entire universe is a system related by common laws and that it makes no sense to impose our dreams and desires on nature without taking them into account. Recognizing the limitations of human will, accepting a cooperative rather than a ruling role in the universe, we should feel the relief of the exile who is finally returning home. The problem of meaning will then be resolved as the individual’s purpose merges with the universal flow.

Absolute continuity of motion is not comprehensible to the human mind. Laws of motion of any kind become comprehensible to man only when he examines arbitrarily selected elements of that motion; but at the same time, a large proportion of human error comes from the arbitrary division of continuous motion into discontinuous elements. There is a well known, so-called sophism of the ancients consisting in this, that Achilles could never catch up with a tortoise he was following, in spite of the fact that he traveled ten times as fast as the tortoise. By the time Achilles has covered the distance that separated him from the tortoise, the tortoise has covered one tenth of that distance ahead of him: when Achilles has covered that tenth, the tortoise has covered another one hundredth, and so on forever. This problem seemed to the ancients insoluble. The absurd answer (that Achilles could never overtake the tortoise) resulted from this: that motion was arbitrarily divided into discontinuous elements, whereas the motion both of Achilles and of the tortoise was continuous. By adopting smaller and smaller elements of motion we only approach a solution of the problem, but never reach it. Only when we have admitted the conception of the infinitely small, and the resulting geometrical progression with a common ratio of one tenth, and have found the sum of this progression to infinity, do we reach a solution of the problem. A modern branch of mathematics having achieved the art of dealing with the infinitely small can now yield solutions in other more complex problems of motion which used to appear insoluble. This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when it deals with separate elements of motion instead of examining continuous motion. In seeking the laws of historical movement just the same thing happens. The movement of humanity, arising as it does from innumerable arbitrary human wills, is continuous. To understand the laws of this continuous movement is the aim of history. But to arrive at these laws, resulting from the sum of all those human wills, man's mind postulates arbitrary and disconnected units. The first method of history is to take an arbitrarily selected series of continuous events and examine it apart from others, though there is and can be no beginning to any event, for one event always flows uninterruptedly from another. The second method is to consider the actions of some one man—a king or a commander—as equivalent to the sum of many individual wills; whereas the sum of individual wills is never expressed by the activity of a single historic personage. Historical science in its endeavor to draw nearer to truth continually takes smaller and smaller units for examination. But however small the units it takes, we feel that to take any unit disconnected from others, or to assume a beginning of any phenomenon, or to say that the will of many men is expressed by the actions of any one historic personage, is in itself false. It needs no critical exertion to reduce utterly to dust any deductions drawn from history. It is merely necessary to select some larger or smaller unit as the subject of observation—as criticism has every right to do, seeing that whatever unit history observes must always be arbitrarily selected. Only by taking infinitesimally small units for observation (the differential of history, that is, the individual tendencies of men) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.

Our current world I submit that we currently live in a climax stage.21 We have a political model that is based on leading in the popular polls--a model where barely differentiated political leaders pretend to be different by steering voters away from important issues and onto subjects that, albeit emotional, are of little consequence to most people--a model where the election is won by the person with the best marketing, and where consistency and integrity are irrelevant. We have an economic model that is based on pulling resources out of the ground and mostly turning them into unnecessary products, getting people to buy the products by convincing them that they need them, then getting them to throw the products away because they're obsolete. This makes people buy the next model and bury the other one in the ground. The sole goal of this seemingly pointless exercise is to work faster and grow the gross domestic product, which measures the resource churn. We live in a world where the money necessary for our way of life comes out of a slit in the wall as long as we keep showing up for work, yet only experts understand the fiat-based money/credit system. We live in a world where food can be heated in a microwave oven at the touch of a button, yet only experts understand how this works. This goes for most of the other technology we use. All we know is that if we press this or that button, things magically happen. We are aware of large-scale problems, but most of us believe that we can't do anything about them. Instead, we believe in a mythical They who will find a solution, just like They have provided all this wonderful technology we surround ourselves with. We may be more technologically advanced as a group, and correctly but myopically hold up technology as our one indicator of "progress,"22 but in terms of individual understanding we have not come far, and once again live according to old concepts. In fact, we might have turned a full cycle from the last climax stage: The Dark Ages.

Unistructural Memorize, identify, recognize, count, define, draw, find, label, match, name, quote, recall, recite, order, tell, write, imitate Multistructural Classify, describe, list, report, discuss, illustrate, select, narrate, compute, sequence, outline, separate Relational Apply, integrate, analyse, explain, predict, conclude, summarize (précis), review, argue, transfer, make a plan, characterize, compare, contrast, differentiate, organize, debate, make a case, construct, review and rewrite, examine, translate, paraphrase, solve a problem Extended abstract Theorize, hypothesize, generalize, reflect, generate, create, compose, invent, originate, prove from first principles, make an original case, solve from first principles Table 7.2  Some more ILO verbs from Bloom’s revised taxonomy Remembering Define, describe, draw, find, identify, label, list, match, name, quote, recall, recite, tell, write Understanding Classify, compare, conclude, demonstrate, discuss, exemplify, explain, identify, illustrate, interpret, paraphrase, predict, report Applying Apply, change, choose, compute, dramatize, implement, interview, prepare, produce, role play, select, show, transfer, use Analysing Analyse, characterize, classify, compare, contrast, debate, deconstruct, deduce, differentiate, discriminate, distinguish, examine, organize, outline, relate, research, separate, structure Evaluating Appraise, argue, assess, choose, conclude, critique, decide, evaluate, judge, justify, monitor, predict, prioritize, prove, rank, rate, select Creating Compose, construct, create, design, develop, generate, hypothesize, invent, make, perform, plan, produce

Needs themselves are not static but become more complex with the differentiation and integration of sensorimotor schemes (OI, p. 170).

A k-form tells us how to assign a value to an infinitesimal k-dimensional parallelepiped with dimensions Δxl ∧. . .∧Δxk, and hence to a portion of k-dimensional “surface,” in much the same way as we have seen when k = 2. By convention, if k ≠ k’, the integral of a k-dimensional form on a k’-dimensional surface is understood to be zero. We refer to 0-forms, 1-forms, 2-forms, etc. (and formal sums and differences thereof), collectively as differential forms.

The description given earlier of the relationship between integrating a 2-form over the surface of a sphere and integrating its derivative over the solid sphere can be thought of as a generalization of the fundamental theorem of calculus, and can itself be generalized considerably: Stokes’s theorem is the assertion that for any oriented manifold S and form ω, where ∂ S is the oriented boundary of S (which we will not define here). Indeed one can view this theorem as a definition of the derivative operation ω → dω; thus, differentiation is the adjoint of the boundary operation. (For instance, the identity (11) is dual to the geometric observation that the boundary ∂s of an oriented manifold itself has no boundary: ∂(∂S) = ∅.) As a particular case of Stokes’s theorem, we see that ∫s dω = 0 whenever S is a closed manifold, i.e., one with no boundary. This observation lets one extend the notions of closed and exact forms to general differential forms, which (together with (11)) allows one to fully set up de Rham cohomology.

counselors, often confuses stages, states, and lines. He mentioned that clients could move through all four stages (sensorimotor to formal operations) in a single counseling session. People do not actually develop through four (or even two) stages in a day. Rather, different lines of development may be differentially developed, so that a client may appear to exhibit very rudimentary development in one aspect (for example, morality) and advanced development in another (scientific or mathematical thinking). Similar phenomena (clients’ appearing to exhibit the qualities of different stages of development) can be accounted for by distinguishing between stages and states of consciousness. For example, a client may have a developmental center of gravity that hovers around the formal-reflexive mind but experience a state of panic or intense depression during which he resorts to the type of illogical and contrary-to-evidence thinking that characterize preoperational thinking. There are a few places where Ivey seems to distinguish between stages and states, as when he is describing a concrete operational client with whom the counselor finds various deletions, distortions, overgeneralizations, and other errors of thinking or behaving that “represent preoperational states” (1986, p. 163, italics added). This is an important point. The basic structures are not completely stable; otherwise, they would endure even under extreme stress. Hence, developmental waves are conceived of as relatively stable and enduring—far more stable and enduring than states of consciousness, but also far from rigidly permanent structures. Levels and Lines of Development Ivey also wrote of how clients cycle through Piaget’s stages of cognitive development: Each person who continues on to higher levels of development is also, paradoxically, forced to return to basic sensori-motor and pre-operational experience… . the skilled individual who decides to learn a foreign language … must enter language training at the lowest level and work through sensori-motor, preoperational, and concrete experience before being able to engage in formal operations with the new language. (Ivey, 1986, p. 161) People do not revert from the capacity for formal operational thinking to sensorimotor, except perhaps because of a brain injury or organic disorders of the nervous system. Piaget was very emphatic that cognitive development occurs in invariant stages, meaning that everyone progresses through the stages in the same order. At the same time, it is true that just because an individual exhibits formal operational thinking (a stage or level of cognitive development) in chemistry and mathematics does not mean that she automatically can perform at mastery levels in any domain, such as, in this case, a foreign language. This is another example of the utility of Wilber’s (2000e) distinguishing the sundry lines

By June 1949 people had begun to realize that it was not so easy to get a program right as had at one time appeared. I well remember when this realization first came on me with full force. The EDSAC was on the top floor of the building and the tape-punching and editing equipment one floor below on a gallery that ran round the room in which the differential analyzer was installed. I was trying to get working my first non-trivial program, which was one for the numerical integration of Airy’s differential equation. It was on one of my journeys between the EDSAC room and the punching equipment that “hesitating at the angles of stairs” the realization came over me with full force that a good part of the remainder of my life was going to be spent in finding errors in my own programs.

Liberal democracy and capitalism remain the essential, indeed the only, framework for the political and economic organization of modern societies. Rapid economic modernization is closing the gap between many former Third World countries and the industrialized North. With European integration and North American free trade, the web of economic ties within each region will thicken, and sharp cultural boundaries will become increasingly fuzzy. Implementation of the free trade regime of the Uruguay Round of the General Agreement on Tariffs and Trade (GATT) will further erode interregional boundaries. Increased global competition has forced companies across cultural boundaries to try to adopt “best-practice” techniques like lean manufacturing from whatever source they come from. The worldwide recession of the 1990s has put great pressure on Japanese and German companies to scale back their culturally distinctive and paternalistic labor policies in favor of a more purely liberal model. The modern communications revolution abets this convergence by facilitating economic globalization and by propagating the spread of ideas at enormous speed. But in our age, there can be substantial pressures for cultural differentiation even as the world homogenizes in other respects. Modern liberal political and economic institutions not only coexist with religion and other traditional elements of culture but many actually work better in conjunction with them. If many of the most important remaining social problems are essentially cultural in nature and if the chief differences among societies are not political, ideological, or even institutional but rather cultural, it stands to reason that societies will hang on to these areas of cultural distinctiveness and that the latter will become all the more salient and important in the years to come. Awareness of cultural difference will be abetted, paradoxically, by the same communications technology that has made the global village possible. There is a strong liberal faith that people around the world are basically similar under the surface and that greater communications will bring deeper understanding and cooperation. In many instances, unfortunately, that familiarity breeds contempt rather than sympathy. Something like this process has been going on between the United States and Asia in the past decade. Americans have come to realize that Japan is not simply a fellow capitalist democracy but has rather different ways of practicing both capitalism and democracy. One result, among others, is sthe emergence of the revisionist school among specialists on Japan, who are less sympathetic to Tokyo and argue for tougher trade policies. And Asians are made vividly aware through the media of crime, drugs, family breakdown, and other American social problems, and many have decided that the United States is not such an attractive model after all. Lee Kwan Yew, former prime minister of Singapore, has emerged as a spokesman for a kind of Asian revisionism on the United States, which argues that liberal democracy is not an appropriate political model for the Confucian societies.10 The very convergence of major institutions makes peoples all the more intent on preserving those elements of distinctiveness they continue to possess.

Page 78 The family sucks the juice out of everything around it, leaving other institutions stunted and distorted. Page 75 Deep-seated differences between the sexes do tend to be reproduced from generation to generation by the fact that children are reared by a pair of differentiated parents and the parameters of their sexual orientation are set in the context of their early relations with those parents. But our unbalanced pattern of sexuality is also an integral part of a thriving marriage system that still enshrines male power and female dependence. Until that form of family disappears, sexual enjoyment will continue to be a male privilege and it will continue to take the form of sexual possession. Clearly, then, it remains necessary, as the early socialists recognized, to separate sex love from these economic ties and allow it to flourish in its own right. Page 52-53 The Oneida community, founded in New York State in 1848, consciously rejected the family and marriage as being inimical to a full communal life. The biblical text, ‘In heaven they neither marry nor are given in marriage’, was taken as justification for ‘complex marriage’ in which all the men and women of the community were joined. Heterosexual relations between any of them were encouraged; long-term pairing was discouraged. Children were cared for in a children’s house soon after they were weaned, visiting their own parents only once or twice a week. Their founder John Humphrey Noyes saw a very clear contradiction between intense family feelings and community feeling. He believed that ‘the great problem of socialism now is, whether the existence of the marital family is compatible with that of the universal family, which the term “community” signifies.

When I started exploring what flag I should plant back in 2009, there was a confluence of events in the works. The business world was increasingly using a methodology called Agile as its preferred product-development process while, at the same time, digital design was becoming increasingly important. Technology was rapidly evolving, and design was becoming a key differentiating factor for success—this was just a couple of years after the introduction of the iPhone. Companies were struggling to figure out how to integrate these two trends successfully, which created an opportunity for me—no one had solved this problem. This is where I decided to plant my flag—because I had the expertise, the opportunity, a real problem to solve that many people were dealing with, and the credibility to speak to it. I decided to work on solving this challenge and to bring everyone willing along with me on my journey. My teams and I started experimenting, trying different ways of working. We often failed, but as we were going through our ups and downs, I was sharing—publicly writing and giving talks about—what we were trying to do. Turned out I wasn’t the only one struggling with this issue. The more I wrote and the more I presented, the more widely I became known out in the world as someone who was not only working to solve this issue, but who was a source of ideas, honesty, and inspiration. So, when I left TheLadders, I had already planted my flag. I had found the thing I wanted to be known for and the work I was passionate about. A quick word of warning… Success on this path is a double-edged sword and you should approach this process with eyes open. The flag you plant today may very well be with you for the rest of your life—especially if you build widespread credibility on the topic. It’s going to follow you wherever you go and define you. No matter what else I do out in the world, I will forever be Jeff Gothelf—the Lean UX guy.

Bergson says that mystical experience need not wonder whether the source it puts us in contact with is God himself or his earthly delegation. It experiences the granted invasion of a being which 'can do immensely more than it can.' We must not even say an all-powerful being: Bergson says that the idea of the all is as empty as that of nothingness, and the possible for him remains the shadow of the real. Bergson's God is immense rather than infinite, or He is a qualitative infinite. He is the element of joy or love in the sense that water and fire are elements. Like sentient and human beings, He is a radiance, not an essence. Metaphysical attributes which seek to determine Him are, Bergson says, like all determinations, negations. Even if through some impossibility they became visible, no religious man would recognize the God he prays to in them. Bergson's God is, like the universe, a singular being, an immense this; and even in theology Bergson kept his promise of a philosophy fashioned for actual being and applying to it alone. If we indulge in imaginary computations we must admit, he says, that 'the whole could have been much better than it is.' No one can make someone's death a component of the best possible world. But not only are the solutions of classical theodicy false, the problems have no meaning in the order Bergson puts himself in--the order of radical contingency. Here it is not a question of the conceived world or a conceived God, but of the existing world and an existing God; and that within us which is acquainted with this order is beneath our opinions and our statements. No one will ever stop men from loving their life, no matter how miserable it may be. This vital judgment puts life and God on this side of arraignment as well as of justification. And if we insisted upon understanding how natura naturans had been able to produce a natura naturata in which it is not really realized, why creative effort has been at least provisionally arrested, what obstacle it has encountered and how an obstacle could be insurmountable for it, Bergson would agree that his philosophy does not answer this type of question. But he would also say that the reason why it does not is that it does not have to ask such questions. For in the last analysis his philosophy is not a genesis of the world--not even, as it narrowly missed being, 'integration and differentiation' of being--but the deliberately partial, discontinuous, almost empirical location of several foci of being.

Define the Profitable Core In our experience, business definition is one of the most frustrating activities for senior executives. Although business leaders know that they should have a clear answer to the question, “What is our core business?” it is difficult to arrive at a fully satisfying statement. Part of the problem arises from blurring several distinct but related topics that need to be considered one at a time and then integrated in a consistent manner or within a single framework. In working toward a useful business definition, executives need to ask themselves the following questions: What are the boundaries of the business in which I participate, and are those boundaries “natural” economic boundaries defined by customer needs and basic economics? What products, customers, channels, and competitors do these boundaries encompass? What are the core skills and assets needed to compete effectively within that competitive arena? What is my own core business as defined by those customers, products, technologies, and channels through which I can earn a return today and can compete effectively with my current resources? What is the key differentiating factor that makes me unique to my core customers? What are the adjacent areas around my core, and are the definitions of my business and my industry likely to shift, changing the competitive and customer landscape?

A new awareness of the integral role that social networks play in long-distance migration goes beyond traditional ‘rational-choice and decision-making models’ drawn from classical economics that content themselves with explaining migration as the outcome of a ‘cost-benefit analysis of the most favorable destination.’ According to recent theory, something more than the push and pull of differential labor markets, hunger, or the search for religious freedom sends people into long-distance emigration. Voluntary migrations do not depend merely on autonomous individuals weighing the costs and benefits of uprooting themselves. Rather, social networks and relationships bind uprooted people on to another like the links in a chain. ‘Chain migration’ is sustained from within, and indeed ‘can become self-perpetuating,’ as ‘each act of migration itself creates the social structure needed to sustain’ further migration. News of another’s good fortune in a distance place, information about unforeseen opportunities, invitations to follow in another’s migratory footsteps, or a familial obligation to do so—the long reach of social relations such as these are the incentive that draws people into exile in other lands and accounts for the enormous scale of some systems of international migration.

I mean the poetry of differential calculus. Calculating points in time and place. The infinite movement we make in time, moving forward, but never eating zero. Integral caucus, where we don't head to zero -- we head to fucking infinity, man. Get as close as we can. But again we never get there. Because in nature we never get an absolute. Absolutes are bullshit.

This process of linking differentiated parts into a functional whole is called “integration.” As we’ll see, integration is a unifying principle that will help us to understand the linkage of mind, brain, and relationships throughout our discussions. Furthermore, in IPNB, we propose that integration is the heart of health. Linking differentiated parts into a functional whole is called “integration.

Goddess-centered awareness demonstrated the archetypal Divine Feminine awareness that generates and knows the rhythms and mysteries of life, death and rebirth. The Goddess knows what it is to create forms and life within herself, to sustain and nurture, to realize the potential in the seed, in new life and to bring it forth, to nurture it with the milk of her own body. The Goddess ' ways were reflected everywhere in nature, and humanity lived reverently for Her and sought to live in harmony with the wisdom she revealed. Society has been based on cooperation for thousands of years, and is neither matriarchal nor patriarchal. There were no fortifications or battle evidences for thousands of years. In the course of time, though, a new form of consciousness started to develop in what Eisler called the dominator mode. The dominator style has been synonymous with patriarchal forms of religion and Divine approaches that continue to exist to this day. The dominator mode also coincides with a shift in the culture of man where fortifications, battles, and wars developed between groups. That is what Eisler points to in her book title. She writes of the difference between the blade and the chalice. The chalice is a symbol of the Divine Feminine, the consciousness that holds and contains, that nurtures, that actualizes, vs. the blade that cuts and severs, differentiates, penetrates, and dominates. From my perspective, both are part of the full expression of Consciousness and forms that Shakti creates to express the full spectrum of Consciousness itself. The pendulum has swung to an extreme and is now moving back to a center that integrates the two consciousness modes.

Even the mighty sun doesn't differentiate between first world and third world humanity. It is only the lowly beings who can't help but practice some good old exclusivity.

We are trapped in a rigid way of being. We cannot cope with emotional stress, cannot grow emotionally, and cannot attain an emotional security. At the beginning of his converstion with Sieff, Schore emphasized that his scientific and clinical thinking has focused on three questions: How do some children develop emotional security? What prevents other children from developing emotional security, and what are the consequences of that? What is required of therapy if it is to help those who failed to develop emotional security as children, to develop it later in life? Schore does not just look at these questions psychologically; a fundamental principle of his work is that no theory of emotional development can be restricted to a description of psychological processes, but must also be consonant with what we now know about the biological structure of the brain. When we are born our emotions are relatively crude – we are content or we are stressed. As we develop, our emotions become increasingly differentiated, shaped and refined, yet also integrated. We learn to create blends of different emotions simultaneously. We begin life with a very small window of tolerance for intense emotions, therefore the tolerance of intense emotions has to be expanded. We need to acquire the ability to differentiate what is happening outside us from what is happening inside. As children we are not able to do so and we have to learn which emotions are internally present and what we receive externally from another person, such as the primary caregiver, and how to regulate the perceived emotions. Sieff asked the question about what features of the brain are most relevant to understand emotional regulation. Schore answered that

Instead of faking it in the hope of buying time to make it, find the time now to differentiate the imagined from the real.

When sexual liberation was the order of the day, the watchword was 'Maximize sexuality, minimize reproduction' . The dream of our present cloneloving society is just the opposite: as much reproduction and as little sex as possible. At one time the body was a metaphor for the soul, then it became a metaphor for sex. Today it is no longer a metaphor for anything at all, merely the locus of metastasis, of the machine-like connections between all its processes, of an endless programming devoid of any symbolic organization or overarching purpose: the body is thus given over to the pure promiscuity of its relationship to itself - the same promiscuity that characterizes networks and integrated circuits. The possibility of metaphor is disappearing in every sphere. This is an aspect of a general tendency towards transsexuality which extends well beyond sex, affecting all disciplines as they lose their specificity and partake of a process of confusion and contagion - a viral loss of determinacy which is the prime event among all the new events that assail us. Economics becomes transeconomics, aesthetics becomes transaesthetics, sex becomes transsexuality - all converge in a transversal and universal process wherein no discourse may have a metaphorical relationship to another, because for there to be metaphor, differential fields and distinct objects must exist. But they cannot exist where contamination is possible between any discipline and any other. Total metonymy, then - viral by definition (or lack of definition). The viral analogy is not an importation from biology, for everything is affected simultaneously and under the same terms by the virulence in question, by the chain reaction we have been discussing, by haphazard and senseless proliferation and metastasis. Perhaps our melancholy stems from this, for metaphor still had its beauty; it was aesthetic, playing as it did upon difference, and upon the illusion of difference. Today, metonymy - replacing the whole as well as the components, and occasioning a general commutability of terms - has built its house upon the dis-illusion of metaphor.

Laughter itself is more often than not a vital abreaction to the disgust we feel for the monstrous mixing and promiscuity that confront us. But for all that we may gag on the absence of differentiation, it still fascinates us. We love to mix everything up, even if it simultaneously repels us. The reaction whereby the organism seeks to preserve its symbolic integrity is a vital one, even if the price paid is life itself (as in the rejection of a transplanted heart). Why would bodies not resist the arbitrary swapping of organs and cells? Also: why do cells, in cancer, refuse to carry out their assigned functions?

If the consumer society no longer produces myth, this is because it is itself its own myth. The Devil, who brought Gold and Wealth (the price of which was our soul), has been supplanted by Affluence pure and simple. And the pact with the Devil has been supplanted by the contract of Affluence. Moreover, just as the most diabolical aspect of the Devil has never been his existing, but his making us believe that he exists, so Affluence does not exist, but it only has to make us believe it exists to be an effective myth. Consumption is a myth. That is to say, it is a statement of contemporary society about itself, the way our society speaks itself. And, in a sense, the only objective reality of consumption is the idea of consumption; it is this reflexive, discursive configuration, endlessly repeated in everyday speech and intellectual discourse, which has acquired the force of common sense. Our society thinks itself and speaks itself as a consumer society. As much as it consumes anything, it consumes itself as consumer society, as idea. Advertising is the triumphal paean to that idea. This is not a supplementary dimension; it is a fundamental one, for it is the dimension of myth. If we did nothing but consume (getting, devouring, digesting), consumption would not be a myth, which is to say that it would not be a full, self-fulfilling discourse of society about itself, a general system of interpretation, a mirror in which it takes supreme delight in itself, a utopia in which it is reflected in advance. In this sense, affluence and consumption – again, we mean not the consumption of material goods, products and services, but the consumed image of consumption – do, indeed, constitute our new tribal mythology – the morality of modernity. Without that anticipation and reflexive potentialization of enjoyment in the ‘collective consciousness’, consumption would merely be what it is and would not be such a force for social integration. It would merely be a richer, more lavish, more differentiated mode of subsistence than before, but it would no more have a name than ever it did before, when nothing designated as collective value, as reference myth what was merely a mode of survival (eating, drinking, housing and clothing oneself) or the sumptuary expenditure (finery, great houses, jewels) of the privileged classes. Neither eating roots nor throwing feasts was given the name ‘consuming’. Our age is the first in which current expenditure on food and ‘prestige’ expenditure have both been termed consumption by everyone concerned, there being a total consensus on the matter. The historic emergence of the myth of consumption in the twentieth century is radically different from the emergence of the technical concept in economic thinking or science, where it was employed much earlier. That terminological systematization for everyday use changes history itself: it is the sign of a new social reality. Strictly speaking, there has been consumption only since the term has ‘passed into general usage’. Though it is mystifying and analytically useless – a veritable ‘anti-concept’ indeed – it signifies, nonetheless, that an ideological restructuring of values has occurred. The fact that this society experiences itself as a consumer society must be the starting point for an objective analysis

Distribution theory was one of the two great revolutions in mathematical analysis in the 20th century. It can be thought of as the completion of differential calculus, just as the other great revolution, measure theory (or Lebesgue integration theory), can be thought of as the completion of integral calculus. There are many parallels between the two revolutions. Both were created by young, highly individualistic French mathematicians (Henri Lebesgue and Laurent Schwartz). Both were rapidly assimilated by the mathematical community, and opened up new worlds of mathematical development. Both forced a complete rethinking of all mathematical analysis that had come before, and basically altered the nature of the questions that mathematical analysts asked.

Distribution theory was one of the two great revolutions in mathematical analysis in the 20th century. It can be thought of as the completion of differential calculus, just as the other great revolution, measure theory (or Lebesgue integration theory), can be thought of as the completion of integral calculus. There are many parallels between the two revolutions. Both were created by young, highly individualistic French mathematicians (Henri Lebesgue and Laurent Schwartz). Both were rapidly assimilated by the mathematical community, and opened up new worlds of mathematical development. Both forced a complete rethinking of all mathematical analysis that had come before, and basically altered the nature of the questions that mathematical analysts asked.

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Of course, the polarity between love and knowledge is not a rivalry. These two opposites are like the sexes; they are differentiated to create not strife but dynamism. Left to its own, devotion becomes sentimental and even fanatical, while knowledge becomes dry and pedantic. When the two are connected and integrated, knowledge—which after all arises from a love of truth—begins to feed and delight the heart, which in its turn warms and stimulates the energy for further exploration

One way to make yourself less vulnerable to copycats is to build a moat around your business. How Can I Build a Moat? As you scale your company, you need to think about how to proactively defend against competition. The more success you have, the more your competitors will grab their battering ram and start storming the castle. In medieval times, you’d dig a moat to keep enemy armies from getting anywhere near your castle. In business, you think about your economic moat. The idea of an economic moat was popularized by the business magnate and investor Warren Buffett. It refers to a company’s distinct advantage over its competitors, which allows it to protect its market share and profitability. This is hugely important in a competitive space because it’s easy to become commoditized if you don’t have some type of differentiation. In SaaS, I’ve seen four types of moats. Integrations (Network Effect) Network effect is when the value of a product or service increases because of the number of users in the network. A network of one telephone isn’t useful. Add a second telephone, and you can call each other. But add a hundred telephones, and the network is suddenly quite valuable. Network effects are fantastic moats. Think about eBay or Craigs-list, which have huge amounts of sellers and buyers already on their platforms. It’s difficult to compete with them because everyone’s already there. In SaaS—particularly in bootstrapped SaaS companies—the network effect moat comes not from users, but integrations. Zapier is the prototypical example of this. It’s a juggernaut, and not only because it’s integrated with over 3,000 apps. It has widened its moat with nonpublic API integrations, meaning that if you want to compete with it, you have to go to that other company and get their internal development team to build an API for you. That’s a huge hill to climb if you want to launch a Zapier competitor. Every integration a customer activates in your product, especially if it puts more of their data into your database, is another reason for them not to switch to a competitor. A Strong Brand When we talk about your brand, we’re not talking about your color scheme or logo. Your brand is your reputation—it’s what people say about your company when you’re not around.

Complexity is the result of two broad psychological processes: differentiation and integration. Differentiation implies a movement toward uniqueness, toward separating oneself from others. Integration refers to its opposite: a union with other people, with ideas and entities beyond the self. A complex self is one that succeeds in combining these opposite tendencies.

Freud to his famous reading of the Oedipus myth and the sense of the Father’s law, since it is the competition with the Father - arising as a correlate of the infant’s incestual longing for the mother - that first brings the relation between desire and survival to a crisis. Later, in the formulation of the death drive, the sacrificial character of desire is thought even more immediately, so that desire is not merely integrated structurally with a threat to existence within the oedipal triangle, but is rather related to death by the intrinsic tendency of its own economy. The intensity of the affect is now thought as inherently oriented to its own extinction, as a differentiation from death or the inorganic that is from its beginning a compulsion to return. But despite recognizing that the conscious self is a modulation of the drives, so that all psychical energy stems from the unconscious (from which ego-energy is borrowed), Freud seems to remain committed to the right of the reality principle, and its representative the ego, and thus to accept a survival (or adaptation) imperative as the principle of therapeutic practice. It is because of this basic prejudice against the claims of desire that psychoanalysis has always had a tendency to degenerate into a technology of repression that subtilizes, and therefore reinforces, the authority of the ego. In the terms both of the reality principle and the conservative moment of psychoanalysis, desire is a negative pressure working against the conservation of life, a dangerous internal onslaught against the self, tending with inexorable force towards the immolation of the individual and his civilization

This allows us, for example, to make sense of the plucked string, where the initial displacement is continuous, but not even once differentiable. This is a common phenomenon when solving partial differential equations. A technique which is very often used is to rewrite the equation as an integral equation, meaning an equation involving integrals rather than derivatives. Integrable functions are much more general than differentiable functions, so one should expect a more general class of solutions.

Piaget-....A stage then, we may say, is an integrated set of operational structures that constitute the thought processes of a person at a given time. Development involves the transformation of such " structures of the whole" in the direction of greater internal differentiation, complexity, flexibility and stability. A stage represents a kind of balanced relationship between a knowing subject and his or her environment. In this balanced or equilibrated position the person assimilates what is to be "known" in the environment into her or his existing structures of thought. When a novelty or challenge emerges that cannot be assimilated into the present structures of knowing then, if possible, the person accommmodates, that is , generates new structures of knowing. A stage transition has occured when enough accommodation has been undertaken to require ( and make possible) a transformation in the operational pattern of the structural whole of intellectual operations.

Only by assuming an infinitesimally small unit for observation - a differential of history (that is, the common tendencies of men) - and arriving at the art of integration (finding the sum of the infinitesimals) can we hope to discover the laws of history.

Truman’s progressive civil rights record stood in some contrast with his personal prejudices. He differentiated between “political equality,” by which he meant the government’s duty to treat all citizens equally regardless of race, and “social equality,” which were code words for racial integration.

Thus, calculus proceeds in two phases: cutting and rebuilding. In mathematical terms, the cutting process always involves infinitely fine subtraction, which is used to quantify the differences between the parts. Accordingly, this half of the subject is called differential calculus. The reassembly process always involves infinite addition, which integrates the parts back into the original whole. This half of the subject is called integral calculus.

Tononi’s proposal elevates these observations to a defining characterization: conscious awareness is information that is highly integrated and highly differentiated.

Assertion and recognition constitute the poles of a delicate balance. This balance is integral to what is called “differentiation”: the individual’s development as a self that is aware of its distinctness from others. Yet this balance, and with it the differentiation of self and other, is difficult to sustain.2 In particular, the need for recognition gives rise to a paradox. Recognition is that response from the other which makes meaningful the feelings, intentions, and actions of the self. It allows the self to realize its agency and authorship in a tangible way. But such recognition can only come from an other whom we, in turn, recognize as a person in his or her own right. This struggle to be recognized by an other, and thus confirm our selves, was shown by Hegel to form the core of relationships of domination.

Pedagogically speaking, a good share of physics and mathematics was—and is—writing differential equations on a blackboard and showing students how to solve them. Differential equations represent reality as a continuum, changing smoothly from place to place and from time to time, not broken in discrete grid points or time steps. As every science student knows, solving differential equations is hard. But in two and a half centuries, scientists have built up a tremendous body of knowledge about them: handbooks and catalogues of differential equations, along with various methods for solving them, or “finding a closed-form integral,” as a scientist will say. It is no exaggeration to say that the vast business of calculus made possible most of the practical triumphs of post-medieval science; nor to say that it stands as one of the most ingenious creations of humans trying to model the changeable world around them. So by the time a scientist masters this way of thinking about nature, becoming comfortable with the theory and the hard, hard practice, he is likely to have lost sight of one fact. Most differential equations cannot be solved at all.

For example, attachment can be understood as how parents have come to integrate their own inner self-awareness with their relationship with their children—honoring differences, cultivating compassionate linkages. An integrated relationship is a healthy relationship. Here is a fabulous finding verified by studies in neuroplasticity: How we learn to focus the mind can change the brain. If we learn the basic approach of linking differentiated parts of our lives—our nervous systems and our social connections with others—we can move internally and interpersonally toward integration and health. Lack of integration can help explain otherwise mysterious patterns underlying how some individuals become stuck in their growth and development.

Your potential to create wealth is found between your education on how to make money, and your willingness to live in poverty. By education on how to make money, I am referring here to the many skills you need to acquire for a job, in communication, but also organizational and ethical skills. By willingness to live in poverty, I am referring here to the sacrifices you are willing to make. You see, people fear poverty as if they could avoid it, but the one who escapes it faster, is the one who embraces it better. This means spending as less as possible in your habits, not worrying about what others think of you, and committing yourself to become a servant, even a slave, to your higher self. The reason why so many people struggle to accumulate wealth, is because they are avoiding both of these things just mentioned. They don't want to work, for themselves or others, they aren't willing to make sacrifices, they care a lot about what others think of them, they don't want to save any money, they spend without any sense of responsibility, and they also have no interest in investing on their education, either through formal means or by reading books. Most people don't read, they are waiting for the world to offer them the solutions they want, and the trust luck and shortcuts more than they trust their own capacity to achieve things with their own efforts. That's why they can't get to where they want in life. What I just said, can be applied to any other area of life. Even a good marriage requires education on how to make it work and sacrifices to make it work, and just as much as a dog will require you to sacrifice your time and learn better ways of communicating with him. Your own existence depends on a balance of an education on opportunities and a commitment to find them. So what is the most imbecile thing anyone can tell you? The most dumb persons you will ever find, are those who tell you the exact opposite of what I just said, and in doing so, separate everything in different categories. They will say that happiness doesn't require wealth, or that wealthy individuals are miserable. They will say that love requires luck, or that education isn't necessary to become successful. And you have quite a bunch of idiots in this world, marketing their foolish views on others, as if they were absolute truth. You tend to buy into such views with the love and attachment you feel for them. Thus, be wary of the merchants of incompetence. They will try to sell you the most stupid ideas about life. And if you trust them, you will fail, and keep on failing, until you realize you trusted the wrong people. If you think education is expensive, know that stupidity is a lot more. It can cost you an entire existence in the dark. The path to enlightenment is a path of integration, while the distance is measured in segregations. Stupidity is found in the relativity of everything. The dumber one is, the more he or she will think in terms of differentiations. The wiser one is, the more he or she will focus on the similarities and correlations, because enlightenment is found in an upward route towards oneness.

Fused relationships are extremely difficult to transform until (at least) one member is willing to differentiate.

The struggle of the sexes to know each other, to see each other, and to communicate deeply - a struggle which may be more a feature of adult life in the West than at any time in the past - may rest in the capacity of men and women to learn the universal language they share, an evolutionary esperanto, the dialectical context in which these two poles are joined. It may rest in their recognition that neither differentiation nor integration is prior, but that each is a part of the reality of being alive.

But what can be found can also be lost. The process of differentiation, creating the possibility of integration, brings into being the lifelong theme of finding and losing, which before now could not have existed.

[...] we argue against the false equivalency of viewing anti-immigrant and pro-integration laws in the same light: the former often play on misperception and group stereotypes and explicitly call out particular groups for differential treatment. By contrast, many of the integrationist measures passed by state legislatures have couched their policies in universalistic terms, and often do not make reference to particular classes of persons.

The differentiated timeline between the CLMV and the rest of the ASEAN member states on some of the AEC goals, in particular, simply represents a practical response to the reality of the prevailing economic development gap between the ASEAN 5 and the CLMV, and the need to address it through such specific policies as the Initiative for ASEAN Integration (IAI).

The work of the artist is to depict humankind and nature for how it actually is. Life as well as the written words of many learned writers teaches us about the world. We develop an orderly and differentiated system of personal consciousness by responding to the world, organizing, and integrating our accumulated knowledge gained via evocative personal experiences and through reading the shared thoughts of writers, philosophers, scientists, and other erudite thinkers.

Knowledge cuts and differentiates, while Wisdom soothes and integrates.

The city thus at an early date recaptured the polymorphism of the insect hive: by social means it achieved the equivalent of the physiological differentiations that accompany the integration of insect societies. True, thus division of labor allowed for far greater internal mobility than insect communities know. Even prostitution, though it condemned a whole class to the drudgeries of sexual intercourse, never reached the point of creating a single class of sexual breeders, segregated for childbearing. (That horror possibly awaits the triumph of Post-historic Man.) Nevertheless, the parallel between human and insect societies applies even to the working life; for within a single lifetime the differences between vocations still cause characteristic diseases and disabilities, even changes in bodily structure. These differences still affect the death rate and the span of life of each major occupation.

These autonomous, self-regulating properties of holons within the growing embryo are a vital safeguard; they ensure that whatever accidental hazards arise during development, the end-product will be according to norm. In view of the millions and millions of cells which divide, differentiate, and move about in the constantly changing environment of fluids and neighbouring tissues-Waddington called it 'the epigenetic landscape'-it must be assumed that no two embryos, not even identical twins, are formed in exactly the same way. The self-regulating mechanisms which correct deviations from the norm and guarantee, so to speak, the end-result, have been compared to the homeostatic feedback devices in the adult organism-so biologists speak of 'developmental homeostasis'. The future individual is potentially predetermined in the chromosomes of the fertilised egg; but to translate this blueprint into the finished product, billions of specialized cells have to be fabricated and moulded into an integrated structure. The mind boggles at the idea that the genes of that one fertilised egg should contain built-in provisions for each and every particular contingency which every single one of its fifty-six generations of daughter cells might encounter in the process. However, the problem becomes a little less baffling if we replace the concept of the 'genetic blueprint', which implies a plan to be rigidly copied, by the concept of a genetic canon of rules which are fixed, but leave room for alternative choices, i.e., flexible strategies guided by feedbacks and pointers from the environment. But how can this formula be applied to the development of the embryo?

Part of their approach involved making structure change to group competitive work more tightly together and separate it from noncompetitive work. The mind-set required by the two workforces is different—one to strive toward differentiation and excellence, one to aim for extraordinary efficiency. Non-competitive work is not necessarily less important—many non-strategic tasks, such as payroll, sales administration, and network operations, are absolutely crucial for running the business. But non-competitive work tends to be more transactional in nature. It often feels more urgent as well. And herein lies the problem. If the same product expert who answers demanding administrative questions and labors to fill out complicated compliance paperwork is also responsible for helping to craft unique, integrated solutions for clients, the whole client experience—the competitive work—could easily fall apart. Prying apart these two different types of activities so different teams can perform them ensures that vital competitive work is not engulfed by less competitive tasks.

If you are mathematically inclined, you might say that the application state is what you get when you integrate an event stream over time, and a change stream is what you get when you differentiate the state by time,