Growth Is Not Linear Quotes

Enlightenment begins when you change your mindset - from a blaming mindset to blessing mindset, from a negative mindset to positive mindset, from fixed mindset to growth mind set, from linear mindset to exponential mindset.

The first idea is that human progress is exponential (that is, it expands by repeatedly multiplying by a constant) rather than linear (that is, expanding by repeatedly adding a constant). Linear versus exponential: Linear growth is steady; exponential growth becomes explosive.

I see, in place of that empty figment of one linear history which can be kept up only by shutting one’s eyes to the overwhelming multitude of facts, the drama of a number of mighty Cultures, each springing with primitive strength from the soil of a mother-region to which it remains firmly bound throughout it’s whole life-cycle; each stamping its material, its mankind, in its own image; each having its own idea, its own passions, its own life, will and feelings, its own death. Here indeed are colours, lights, movements, that no intellectual eye has yet discovered. Here the Cultures, peoples, languages, truths, gods, landscapes bloom and age as the oaks and the pines, the blossoms, twigs and leaves - but there is no ageing “Mankind.” Each Culture has its own new possibilities of self-expression which arise, ripen, decay and never return. There is not one sculpture, one painting, one mathematics, one physics, but many, each in the deepest essence different from the others, each limited in duration and self-contained, just as each species of plant has its peculiar blossom or fruit, its special type of growth and decline.

This is why the ability to think about personal growth, people issues, and relationships as a process matters a great deal. When people begin to understand that change happens in layers – and is rarely linear – it’s as if someone took a grueling weight off them. They stand a bit straighter. Often they become a touch kinder to themselves and others. It’s as if someone put a balm on their souls and gave them this message: “It takes as long as it takes. It’s okay to be unfinished. It’s absolutely normal to be imperfect. It doesn’t mean you’re doing anything wrong.

Were he now still among the living, Dr. Incandenza would now describe tennis in the paradoxical terms of what’s now called ‘Extra-Linear Dynamics.’ And Schtitt, whose knowledge of formal math is probably about equivalent to that of a Taiwanese kindergartner, nevertheless seemed to know what Hopman and van der Meer and Bollettieri seemed not to know: that locating beauty and art and magic and improvement and keys to excellence and victory in the prolix flux of match play is not a fractal matter of reducing chaos to a pattern. Seemed intuitively to sense that it was a matter not of reduction at all, but — perversely — of expansion, the aleatory flutter of uncontrolled, metastatic growth — each well-shot ball admitting of n possible responses, n² responses to those responses, and on into what Incandenza would articulate to anyone who shared both his backgrounds as a Cantorian continuum of infinities of possible move and response, Cantorian and beautiful because infoliating, contained, this diagnate infinity of infinities of choice and execution, mathematically uncontrolled but humanly contained, bounded by the talent and imagination of self and opponent, bent in on itself by the containing boundaries of skill and imagination that brought one player finally down, that kept both from winning, that made it, finally, a game, these boundaries of self.

The history of ideas, then, is the discipline of beginnings and ends, the description of obscure continuities and returns, the reconstitution of developments in the linear form of history. But it can also, by that very fact, describe, from one domain to another, the whole interplay of exchanges and intermediaries: it shows how scientific knowledge is diffused, gives rise to philosophical concepts, and takes form perhaps in literary works; it shows how problems, notions, themes may emigrate from the philosophical field where they were formulated to scientific or political discourses; it relates work with institutions, social customs or behaviour, techniques, and unrecorded needs and practices; it tries to revive the most elaborate forms of discourse in the concrete landscape, in the midst of the growth and development that witnessed their birth. It becomes therefore the discipline of interferences, the description of the concentric circles that surround works, underline them, relate them to one another, and insert them into whatever they are not.

The point is, your injuries don't define who you are. Maybe you're not the same dancer anymore, but who says you have to be? Growth isn't always linear, and I've seen you in the studio. I think you're still pretty damn incredible.

Often people’s identities, that wild inner complexity of soul and color of spirit, become shrunken into their work identities. They become prisoners of their roles. They limit and reduce their lives. They become seduced by the practice of self-absence. They move further and further away from their own lives. They are forced backward into hidden areas on the ledges of their hearts. When you encounter them, you meet only the role. You look for the person, but you never meet him. To practice only the linear external side of your mind is very dangerous. Thus the corporate and work world now recognizes how desperately they need the turbulence, anarchy, and growth possibilities that come from the unpredictable world of the imagination. These are so vital for the passion and force of a person’s life. If you engage only the external side of yourself, and stay on this mechanical surface, you become secretly weary. Gradually, years of this practice make you desperate.

Deception. What follows digitalization is deception, a period during which exponential growth goes mostly unnoticed. This happens because the doubling of small numbers often produces results so minuscule they are often mistaken for the plodder’s progress of linear growth. Imagine Kodak’s first digital camera with 0.01 megapixels doubling to 0.02, 0.02 to 0.04, 0.04 to 0.08. To the casual observer, these numbers all look like zero. Yet big change is on the horizon. Once these doublings break the whole-number barrier (become 1, 2, 4, 8, etc.), they are only twenty doublings away from a millionfold improvement, and only thirty doublings away from a billionfold improvement. It is at this stage that exponential growth, initially deceptive, starts becoming visibly disruptive.

As Amazon grew, we realized that despite our best efforts, we were spending too much time coordinating and not enough time building. That’s because, while the growth in employees was linear, the number of their possible lines of communication grew exponentially.

Growth of the Body and the Brain. The physical growth of the human body increases in a roughly linear manner from birth through adolescence. In contrast, the brain’s physical growth follows a different pattern. The most rapid rate of growth takes place in utero, and from birth to age four the brain grows explosively. The brain of the four-year-old is 90 percent adult size! A majority of the physical growth of the brain’s key neural networks takes place during this time. It is a time of great malleability and vulnerability as experiences are actively shaping the organizing brain. This is a time of great opportunity for the developing child: safe, predictable, nurturing and repetitive experiences can help express a full range of genetic potentials. Unfortunately, however, it is also when the organizing brain is most vulnerable to the destructive impact of threat, neglect and trauma.

By our very nature, we humans are linear thinkers. We evolved to estimate a distance from the predator or to the prey, and advanced mathematics is only a recent evolutionary addition. This is why it’s so difficult even for a modern man to grasp the power of exponentials. 40 steps in linear progression is just 40 steps away; 40 steps in exponential progression is a cool trillion (with a T) – it will take you 3 times from Earth to the Sun and back to Earth.

Indian thought has traditionally regarded history and prehistory in cyclical rather than linear terms. In the West time is an arrow -- we are born, we live, we die. But in India we die only to be reborn. Indeed, it is a deeply rooted idea in Indian spiritual traditions that the earth itself and all living creatures upon it are locked into an immense cosmic cycle of birth, growth, fruition, death, rebirth and renewal. Even temples are reborn after they grow too old to be used safely -- through the simple expedient of reconstruction on the same site. Within this pattern of spiralling cycles, where everything that goes around comes around, India conceives of four great epochs of 'world ages' of varying but enormous lengths: the Krita Yuga, the Treta Yuga, the Davapara Yuga and the Kali Yuga. At the end of each yuga a cataclysm, known as pralaya, engulfs the globe in fire or flood. Then from the ruins of the former age, like the Phoenix emerging from the ashes, the new age begins.

Jerry Hirshberg, in his book The Creative Priority: Putting Innovation to Work in Your Business, writes, No one in a corporation deliberately sets out to stifle creative thought. Yet, a traditional bureaucratic structure, with its need for predictability, linear logic, conformance to accepted norms, and the dictates of the most recent “long-range” vision statement, is a nearly perfect idea-killing machine. People in groups regress toward the security of the familiar and the well-regulated. Even creative people do it. It’s easier. It avoids the ambiguity, the fear of unpredictability, the threat of the unfamiliar, and the messiness of intuition and human emotion.

Many aspects of how the Chinese political class manages its economy are antithetical to the Western values of democracy and free markets. But this stance has not put off foreign investors, who are attracted to the government’s willingness to prioritize physical infrastructure, political security, and stability over the health of the population, transparency in decision making, and transparency in the rule of law (if not necessarily the system of governance). In essence, the pursuit of economic growth overrides any views on the political system they invest in. Currently China’s political class has a strategy to evolve from an investment-led exporting economy to one more in line with Western economies, relying on domestic consumption. The transition to this new economic equilibrium will not be linear. China will likely experience significant economic volatility and market gyrations as the structure of its economy shifts. There is also mounting skepticism about China’s ability to manage its debt levels, and the country’s lack of individual political freedoms will continue to hamper its growth prospects. But Chinese policymakers will, no doubt, be focused on continuing to show economic progress in advance of two target dates: 2021—one hundred years after the formation of the Communist Party—and 2049, one hundred years after the formation of the People’s Republic of China.

Our bodies are living ecosystems, and like the cycles of nature, we also ebb and flow, go backward and forward, contract and expand, and move through necessary phases of growth, death, and restoration. Contrary to what we might want to believe, healing is not a linear process but an ongoing spiral into subterranean spaces of darkness where we confront the unknown. Where we rest, regenerate, and eventually expand outward into bloom. We might resist the dark spaces inside us but the truth is, most of our healing and growth happens underground and under our skin. We need dark, protected spaces to let the most tender parts of ourselves form. Rest and retreat are just as necessary as the warmth and illumination of light.

Seeing the possibilities: It would be much easier to let go of outcomes if every choice turned out well. And why shouldn’t it? In the one reality there are no wrong turns, only new turns. But the ego personality likes things to be connected. Coming in second today is better than coming in third yesterday, and tomorrow I want to come in first. This kind of linear thinking reflects a crude conception of progress. Real growth happens in many dimensions. What happens to you can affect how you think, feel, relate to others, behave in a given situation, fit into your surroundings, perceive the future, or perceive yourself. All these dimensions must evolve in order for you to evolve. Try to see the possibilities in whatever happens.

Music does not touch merely the mind and the senses; it engages that ancient and primal presence we call soul. The soul is never fully at home in the social world that we inhabit. It is too large for our contained, managed lives. Indeed, it is surprising that the soul seems to accommodate us and permit us to continue within the fixed and linear identities we have built for ourselves. Perhaps in our times of confusion and forsakenness the soul is asserting itself, endeavouring to draw us aside in order to speak to our hearts. Upheavals in life are often times when the soul has become too smothered; it needs to push through the layers of surface under which it is buried. In essence, the soul is the force of remembrance within us. It reminds us that we are children of the eternal and that our time on earth is meant to be a pilgrimage of growth and creativity. This is what music does. It evokes a world where that ancient beauty can resonate within us again. The eternal echoing of music reclaims us for a while for our true longing.

The extraordinary value of the I Ching is that it reveals the secrets of dynamic natural law. Working with its changes opens up access to the middle level of the Positive Paradigm Wheel, the “e” energy layer of Einstein's Unified Theory. This middle level serves as mediating, two-directional gate-keeper between the ever-changing surface rim and the universal, timeless center. You can't get from here to there, except through the middle layer which, in Western thinking, is effectively taboo, buried in the inaccessible "unconscious." To the extent that natural law is a blind spot in the prevailing, linear and exclusively empirical paradigm, we are left powerless to move beyond the surface level of experience. The realm of light and conscience which rests beyond, on the far side of the dynamic energy level, remains functionally inaccessible. Moral codes promoted by religionists or politicians are sometimes equated with conscience. But they're no substitute for direct experience. Only by becoming intelligently competent in managing the subtle energies of the middle level is it possible to travel further inwards for the immediate, personal experience of inner light. When the middle level becomes clogged with painful memories, negative emotions and socially taboo urges, it becomes a barrier to deeper knowing. The Book of Change is indispensable as a tool for restoring the unnecessarily "unconscious" to conscious awareness, so that the levels of human potential can be linked and unified. In Positive Paradigm context, survivors who prevail in dangerous times aren't those with the most material wealth, possessions or political power. They're the ones who've successfully navigated the middle realm, reached the far shore of enlightenment and returned to the surface with their new information intact. Those who succeed in linking the levels of experience are genius-leaders in whatever fields they choose to engage. They're the fortunate ones who've acquired the inner wealth necessary to both hear the inner voice of conscience and act on the guidance they receive.

our explosive growth was slowing down our pace of innovation. We were spending more time coordinating and less time building. More features meant more software, written and supported by more software engineers, so both the code base and the technical staff grew continuously. Software engineers were once free to modify any section of the entire code base to independently develop, test, and immediately deploy any new features to the website. But as the number of software engineers grew, their work overlapped and intertwined until it was often difficult for teams to complete their work independently. Each overlap created one kind of dependency, which describes something one team needs but can’t supply for itself. If my team’s work requires effort from yours—whether it’s to build something new, participate, or review—you’re one of my dependencies. Conversely, if your team needs something from mine, I’m a dependency of yours. Managing dependencies requires coordination—two or more people sitting down to hash out a solution—and coordination takes time. As Amazon grew, we realized that despite our best efforts, we were spending too much time coordinating and not enough time building. That’s because, while the growth in employees was linear, the number of their possible lines of communication grew exponentially. Regardless of what form it takes—and we’ll get into the different forms in more detail shortly—every dependency creates drag. Amazon’s growing number of dependencies delayed results, increased frustration, and disempowered teams.

Almost all official statistics and policy documents on wages, income, gross domestic product (GDP), crime, unemployment rates, innovation rates, cost of living indices, morbidity and mortality rates, and poverty rates are compiled by governmental agencies and international bodies worldwide in terms of both total aggregate and per capita metrics. Furthermore, well-known composite indices of urban performance and the quality of life, such as those assembled by the World Economic Forum and magazines like Fortune, Forbes, and The Economist, primarily rely on naive linear combinations of such measures.6 Because we have quantitative scaling curves for many of these urban characteristics and a theoretical framework for their underlying dynamics we can do much better in devising a scientific basis for assessing performance and ranking cities. The ubiquitous use of per capita indicators for ranking and comparing cities is particularly egregious because it implicitly assumes that the baseline, or null hypothesis, for any urban characteristic is that it scales linearly with population size. In other words, it presumes that an idealized city is just the linear sum of the activities of all of its citizens, thereby ignoring its most essential feature and the very point of its existence, namely, that it is a collective emergent agglomeration resulting from nonlinear social and organizational interactions. Cities are quintessentially complex adaptive systems and, as such, are significantly more than just the simple linear sum of their individual components and constituents, whether buildings, roads, people, or money. This is expressed by the superlinear scaling laws whose exponents are 1.15 rather than 1.00. This approximately 15 percent increase in all socioeconomic activity with every doubling of the population size happens almost independently of administrators, politicians, planners, history, geographical location, and culture.

At times, you may find you are revisiting the same issue, lesson, or opportunity you experienced before. However, each time we come to the same crossroads, it is different. Life is not linear. I see it as an ascending spiral. Issues or challenges we face run vertically alongside the spiral. We move along the path of the spiral, and we will see reoccurring challenges and issues, but they really are different each time because we are different.

The S curve is not just important as a model in its own right; it’s also the jack-of-all-trades of mathematics. If you zoom in on its midsection, it approximates a straight line. Many phenomena we think of as linear are in fact S curves, because nothing can grow without limit. Because of relativity, and contra Newton, acceleration does not increase linearly with force, but follows an S curve centered at zero. So does electric current as a function of voltage in the resistors found in electronic circuits, or in a light bulb (until the filament melts, which is itself another phase transition). If you zoom out from an S curve, it approximates a step function, with the output suddenly changing from zero to one at the threshold. So depending on the input voltages, the same curve represents the workings of a transistor in both digital computers and analog devices like amplifiers and radio tuners. The early part of an S curve is effectively an exponential, and near the saturation point it approximates exponential decay. When someone talks about exponential growth, ask yourself: How soon will it turn into an S curve? When will the population bomb peter out, Moore’s law lose steam, or the singularity fail to happen? Differentiate an S curve and you get a bell curve: slow, fast, slow becomes low, high, low. Add a succession of staggered upward and downward S curves, and you get something close to a sine wave. In fact, every function can be closely approximated by a sum of S curves: when the function goes up, you add an S curve; when it goes down, you subtract one. Children’s learning is not a steady improvement but an accumulation of S curves. So is technological change. Squint at the New York City skyline and you can see a sum of S curves unfolding across the horizon, each as sharp as a skyscraper’s corner. Most importantly for us, S curves lead to a new solution to the credit-assignment problem. If the universe is a symphony of phase transitions, let’s model it with one. That’s what the brain does: it tunes the system of phase transitions inside to the one outside. So let’s replace the perceptron’s step function with an S curve and see what happens.

The fact that today’s technologies are exponential in their growth curves, not linear, is absolutely fundamental to understanding the next phase of human evolution. We are now living in exponential times.

It is the persistent doubling of computer processing power stipulated in Moore’s law that makes it so deeply significant. It means that all computer-based technologies are exponential in their growth curves—not linear. In other words, these technologies benefit not from the power of mere addition but from multiplication. It is the difference between 1, 2, 3, 4, 5, 6, 7 and 2, 4, 8, 16, 32, 64, 128. The more the linear versus exponential trend line continues, the more stark and shocking the results. To put the concept into perspective, taking thirty steps linearly, one might walk across the living room. But taking thirty steps exponentially—doubling the distance with each successive step—would be the equivalent of traveling the distance from earth to the moon.

We need a revolution in mental health awareness to help us grasp the wonder and complexity of human behavior, health and functioning, and the nuances and intersections of brilliance and madness. This starts with dismantling myopic myths that prevent us from seeing the simultaneous wonder and complexity of our fullest selves. It involves providing access to the tools that mitigate being overtaken by the ravages of burnout and mental decompensation: the very risks of living in the modern world. Our sense-making approaches need to be comprehensive- grounded both scientifically and medically, steeped in love, and in ways that account for the multidimensionality of emotional and spiritual essence. Those that go beyond what the mind can first conceive of. This new mental health imperative relies upon universal precautions and a vehement resistance to linear checklists and binary labels that frame our gorgeous spirits solely as either complex and fraught or indomitable and wondrous. It also relies not on good will and best practices but the moral courage of policy makers to treat human beings like human beings. Dogs are often treated better than people. This is our new imperative: to radically change the way we care for ourselves and one another. We cannot extricate ourselves from the fact that the lines we walk are incredibly thin and blurry, and our only hope is to rewrite and navigate them together in solidarity, with every measure of creative reason and conscious community that can be mustered...

The growth rate of the bonding curve is important in determining users' performance. A linear growth rate would generously reward early users if the token grows to a sufficiently large supply.

The critique of the male medical establishment and in particular the medicalization of childbirth were already becoming prominent concerns within the emerging women’s health movement, and engendering its related critiques of biological determinism, sexism in science, and patriarchal epistemology. At the same time, the issue of population control dominated the global planning agenda, as well as the family planning one. The intertwined debates about abortion, contraception, planned parenthood, and population growth all concerned access to technology, improvements in basic research on reproduction, and technological innovation, and espoused a linear technological trajectory of increased biological control in which birth control = population control = evolutionary control.

Sobriety is less about “getting better” in a clear, linear sense than it is about subjecting yourself to change, to the inevitable ups and downs, fears and feelings, victories and failures, that accompany growth. You do get better—or at least you can— but that happens almost by default, by the simple fact of being present in your own life, of being aware and able, finally, to act on the connections you make.

Working out new ideas, concepts, hypotheses in a methodical, linear fashion is an indispensable part of human growth and becoming. But if all we have is the thinking mind—no openness to the heart, to the body’s knowing, to awareness itself—the mind tends to loop on itself, driving endless circles on well-worn lanes. We get stuck in the mind’s traffic jams and can never find an exit that will take us to the beach.

The point is, your injuries don’t define who you are. Maybe you’re not the same dancer anymore, but who says you have to be? Growth isn’t always linear, and I’ve seen you in the studio. I think you’re still pretty damn incredible.

Some discouragement is our own fault. The results of poor leadership ought to be discouraging. When our stubbornness, our pride, our lack of knowledge, or so many other possibilities create discouragement, the results are deserved. And it ought to be a prompt for apologies, correction, and growth.

Between economic growth and stable democracy The correlation between development and democracy was first noted by the sociologist Seymour Martin Lipset in the late 1950s, and ever since then there have been many studies linking development to democracy.25 The relationship between growth and democracy may not be linear—that is, more growth does not necessarily always produce more democracy. The economist Robert Barro has shown that the correlation is stronger at lower levels of income and weaker at middle levels.26 One of the most comprehensive studies of the relationship between development and democracy shows that transitions into democracy from autocracy can occur at any level of development but are much less likely to be reversed at higher levels of per capita GDP.27 Whereas growth appears to favor stable democracy, the reverse causal connection between democracy and growth is much less clear. This stands to reason if we simply consider the number of authoritarian countries that have piled up impressive growth records over recent years—South Korea and Taiwan while they were ruled dictatorially, the People’s Republic of China, Singapore, Indonesia under Suharto, and Chile under Augusto Pinochet. Thus, while having a coherent state and reasonably good governance is a condition for growth, it is not clear that democracy plays the same positive role.

According to Travis Bradford, chief operating officer of the Carbon War Room and president of the Prometheus Institute for Sustainable Development, solar prices are falling 5 percent to 6 percent annually, and capacity is growing at a rate of 30 percent per year. So when critics point out that solar currently accounts for 1 percent of our energy, that’s linear thinking in an exponential world. Expanding today’s 1 percent penetration at an annual growth of 30 percent puts us eighteen years away from meeting 100 percent of our energy needs with solar.

The human brain evolved in an environment that was local and linear. Local, meaning most everything that we interacted with was less than a day’s walk away. Linear, meaning the rate of change was exceptionally slow. Your great-great-great-grandfather’s life was roughly the same as his great-great-grandson’s life. But now we live in a world that is global and exponential. Global, meaning if it happens on the other side of the planet, we hear about it seconds later (and our computers hear about it only milliseconds later). Exponential, meanwhile, refers to today’s blitzkrieg speed of development. Forget about the difference between generations, currently mere months can bring a revolution. Yet our brain—which hasn’t really had a hardware update in two hundred thousand years—wasn’t designed for this scale or speed. And if we struggle to track the growth of singular innovations, we’re downright helpless in the face of converging ones. Put it this way, in “The Law of Accelerating Returns,” Ray Kurzweil did the math and found that we’re going to experience twenty thousand years of technological change over the next one hundred years. Essentially, we’re going from the birth of agriculture to the birth of the internet twice in the next century. This means paradigm-shifting, game-changing, nothing-is-ever-the-same-again breakthroughs—such as affordable aerial ridesharing—will not be an occasional affair. They’ll be happening all the time. It means, of course, that flying cars are just the beginning.

The quickest route to success is a straight line. A straight line in its purest form, is simple. We must activate the power of simplicity!

My friend Bangaly Kaba, formerly head of growth at Instagram, called this idea the theory of “Adjacent Users.” He describes his experience at Instagram, which several years post-launch was growing fast but not at rocketship speed: When I joined Instagram in 2016, the product had over 400 million users, but the growth rate had slowed. We were growing linearly, not exponentially. For many products, that would be viewed as an amazing success, but for a viral social product like Instagram, linear growth doesn’t cut it. Over the next 3 years, the growth team and I discovered why Instagram had slowed, developed a methodology to diagnose our issues, and solved a series of problems that reignited growth and helped us get to over a billion users by the time I left. Our success was anchored on what I now call The Adjacent User Theory. The Adjacent Users are aware of a product and possibly tried using it, but are not able to successfully become an engaged user. This is typically because the current product positioning or experience has too many barriers to adoption for them. While Instagram had product-market fit for 400+ million people, we discovered new groups of billions of users who didn’t quite understand Instagram and how it fit into their lives.67 In my conversations with Bangaly on this topic, he described his approach as a systematic evaluation of the network of networks that constituted Instagram. Rather than focusing on the core network of Power Users—the loud and vocal minority that often drive product decisions—instead the approach was to constantly figure out the adjacent set of users whose experience was subpar. There might be multiple sets of nonfunctional adjacent networks at any given time, and it might require different approaches to fix each one. For some networks, it might be the features of the product, like Instagram not having great support for low-end Android apps. Or it might be because of the quality of their networks—if the right content creators or celebrities hadn’t yet arrived. You fix the experience for these users, then ask yourself again, who are the adjacent users? Then repeat. Bangaly describes this approach: When I started at Instagram, the Adjacent User was women 35–45 years old in the US who had a Facebook account but didn’t see the value of Instagram. By the time I left Instagram, the Adjacent User was women in Jakarta, on an older 3G Android phone with a prepaid mobile plan. There were probably 8 different types of Adjacent Users that we solved for in-between those two points. To solve for the needs of the Adjacent User, the Instagram team had to be nimble, focusing first on pulling the audience of US women from the Facebook network. This required the team to build algorithmic recommendations that utilized Facebook profiles and connections, so that Instagram could surface friends and family on the platform—not just influencers. Later on, targeting users in Jakarta and in other developing countries might involve completely different approaches—refining apps for low-end Android phones with low data connections. As the Adjacent User changes, the strategy has to change as well.

Waze’s triumph and Navteq’s decline should be the model for every budding ExO. Ask yourself, “Which of my products or services can I digitize and dematerialize?” and “How can I use the Six Ds to leapfrog my biggest linear competitors? How can I use them to demonetize and democratize my products and/or services?

Mankind,’ however, has no aim, no idea, no plan, any more than the family of butterflies or orchids. ‘Mankind’ is a zoological expression, or an empty word. But conjure away the phantom, break the magic circle, and at once there emerges an astonishing wealth of actual forms the Living with all its immense fullness, depth and movement hitherto veiled by a catchword, a dryasdust scheme, and a set of personal ‘ideals.’ I see, in place of that empty figment of one linear history which can only be kept up by shutting one’s eyes to the overwhelming multitude of the facts, the drama of a number of mighty Cultures, each springing with primitive strength from the soil of a mother region to which it remains firmly bound throughout its whole life-cycle, each stamping its material, its mankind, in its own image; each having its own idea, its own passions, its own life, will, and feeling, its own death Here indeed are colours, lights, movements, that no intellectual eye has yet discovered. Here the Cultures, peoples, languages, truths, gods, landscapes bloom and age as the oaks and the stone-pines, the blossoms, twigs and leaves but there is no ageing ‘Mankind.’ Each Culture has its own new possibilities of self-expression which arise, ripen, decay, and never return. There is not one sculpture, one painting, one mathematics, one physics, but many, each in its deepest essence different from the others, each limited in duration and self-contained, just as each species of plant has its peculiar blossom or fruit, its special type of growth and decline. These cultures, sublimated life-essences, grow with the same superb aimlessness as the flowers of the field. They belong, like the plants and the animals, to the living Nature of Goethe, and not to the dead Nature of Newton. I see world-history as a picture of endless formations and transformations, of the marvelous waxing and waning of organic forms. The professional historian, on the contrary, sees it as a sort of tapeworm industriously adding on to itself one epoch after another.

I see, in place of that empty figment of one linear history which can only be kept up by shutting one’s eyes to the overwhelming multitude of the facts, the drama of a number of mighty Cultures, each springing with primitive strength from the soil of a mother-region to which it remains firmly bound throughout its whole life-cycle; each stamping its material, its mankind, in its own image; each having its own idea, its own passions, its own life, will and feeling, its own death. Here indeed are colours, lights, movements, that no intellectual eye has yet discovered. Here the Cultures, peoples, languages, truths, gods, landscapes bloom and age as the oaks and the stone-pines, the blossoms, twigs and leaves—but there is no ageing “Mankind.” Each Culture has its own new possibilities of self-expression which arise, ripen, decay, and never return. There is not one sculpture, one painting, one mathematics, one physics, but many, each in its deepest essence different from the others, each limited in duration and self-contained, just as each species of plant has its peculiar blossom or fruit, its special type of growth and decline.

The fundamental dilemma underlying the major problems of our time seems to be the illusion that unlimited growth is possible on a finite planet. This, in turn, reflects the clash between linear thinking and the nonlinear patterns in our biosphere—the ecological networks and cycles that constitute the web of life. This highly nonlinear global network contains countless feedback loops through which the planet balances and regulates itself. Our current economic system, by contrast, is fueled by materialism and greed that do not seem to recognize any limits.

Managing dependencies requires coordination—two or more people sitting down to hash out a solution—and coordination takes time. As Amazon grew, we realized that despite our best efforts, we were spending too much time coordinating and not enough time building. That’s because, while the growth in employees was linear, the number of their possible lines of communication grew exponentially.

Convergence is ubiquitous and not limited just to the external appearance or morphology of animals. It is also widely observed and documented in animal behavior and in plants, fungi, and even bacteria. Let’s start with behavior. What do you think these four species—a cobra, a stickleback fish, an octopus, and a spider—share? There is no convergence in body form here, unlike the Caribbean anoles. But a behavior has converged among them that has led to the success of each of their species: the females of the species guard their eggs. One of the best examples of convergent behavior is observed in humans and—hold your breath—ants! And I have witnessed this convergence with my own eyes. When I was on a family vacation in the stunningly beautiful Peruvian Amazon, I stumbled upon the tiny creatures that had beaten our human ancestors to the discovery of agriculture by many millions of years: the leafcutter ants. I had waited years to witness the miracle, and there it was in its full linear glory. A long single column of thousands of large green leaves appeared to be miraculously moving in perfect synchrony of their own volition on the forest floor. Each large leaf was being carried by a single tiny ant, who purposefully disappeared underground to pass on the booty to her specialist sisters. These ants chew the leaves to grow a fungus garden used for food for the entire colony. Not unlike human farmers, these ants produce fertilizers (amino acids and enzymes) to aid the fungal growth, remove contaminants that can hinder the agricultural output, are highly selective in what they grow, and continuously tend to their enormous gardens.8

Biological systems are a chemical inevitability in the right circumstances. There is, of course, something special about life—I won’t take that away from it—but it is a chemical process, a dynamic, kinetic stability that exists, as your scientists have said, “far from thermodynamic equilibrium.” You don’t have to understand this or believe me, but life is fairly common in both time and space. It is not special, nor is it particularly fragile. The best measure I have of the size and complexity of a biosphere is calories of energy captured per square meter per year. Higher is more impressive, and always more beautiful, but this measures nothing of the creation of a system like humanity. For that, my awakened mind categorizes systems by bytes of information transmitted. This will sound to you like it’s a relatively new phenomenon on your planet, but it’s not. Even pelagibacter transmit information, if only to daughter cells. Ants spray pheromones, bees dance, birds sing—all of these are comparatively low-bandwidth systems for communication. But your system caused an inflection point. The graph of data flow switched from linear to exponential growth. Maybe you would call this system “humanity,” but I wouldn’t. It is not just a collection of individuals; it is also a collection of ideas stored inside of individuals and objects and even ideas inside ideas. If that seems like a trivial difference to you, well, I guess I can forgive you since you do not know what the rest of the universe looks like. Collections of individuals are beautiful, but they are as common as pelagibacter. Collections of ideas are veins of gold in our universe.

Biological systems are a chemical inevitability in the right circumstances. There is, of course, something special about life—I won’t take that away from it—but it is a chemical process, a dynamic, kinetic stability that exists, as your scientists have said, “far from thermodynamic equilibrium.” You don’t have to understand this or believe me, but life is fairly common in both time and space. It is not special, nor is it particularly fragile. The best measure I have of the size and complexity of a biosphere is calories of energy captured per square meter per year. Higher is more impressive, and always more beautiful, but this measures nothing of the creation of a system like humanity. For that, my awakened mind categorizes systems by bytes of information transmitted. This will sound to you like it’s a relatively new phenomenon on your planet, but it’s not. Even pelagibacter transmit information, if only to daughter cells. Ants spray pheromones, bees dance, birds sing—all of these are comparatively low-bandwidth systems for communication. But your system caused an inflection point. The graph of data flow switched from linear to exponential growth. Maybe you would call this system “humanity,” but I wouldn’t. It is not just a collection of individuals; it is also a collection of ideas stored inside of individuals and objects and even ideas inside ideas. If that seems like a trivial difference to you, well, I guess I can forgive you since you do not know what the rest of the universe looks like. Collections of individuals are beautiful, but they are as common as pelagibacter. Collections of ideas are veins of gold in our universe. They must be cherished and protected. My parents, whoever and whatever they were, gave me knowledge of many systems—it was locked in my code before I was sent here to self-assemble—and the only thing I can tell you about systems like yours is that they are rare because they are unstable. Dynamite flows through their veins. A single solid jolt and they’re gone. If my data sets are accurate, you are rare, fragile, and precious.

The handover from efficiency to adaptivity comes with sweeping changes in the economy and society including the shift from productivity to regenerativity, growth to flourishing, ownership to access, seller-buyer markets to provider-user networks, linear processes to cybernetic processes, vertically integrated economies of scale to laterally integrated economies of scale, centralized value chains to distributed value chains, corporate conglomerates to agile, high-tech small- and medium-sized cooperatives blockchained in fluid commons, intellectual property rights to open-source sharing of knowledge, zero-sum games to network effects, globalization to glocalization, consumerism to eco-stewardship, gross domestic product (GDP) to quality-of-life indicators (QLI), negative externalities to circularity, and geopolitics to biosphere politics.

Why? Well, network effects are a double-edged sword. Successful platforms are very hard to compete against, but the same network effects that drive growth also make platforms much harder to build. Unlike a traditional, linear startup, a platform doesn’t need to acquire just one group of customers. At a minimum it needs two, its consumers and its producers.

In a word-of-mouth and word-of-mouse led world, the process of researching and buying is decidedly non-linear... (p. 8) What if we've got it all wrong? Take the marketing and sales funnels, for example. These tools were designed to sift through an inordinate number of suspects and prospects to extract the gold nuggets (customers) from the dirt (everyone else) by gently guiding (or sometimes forcing) them through a linear progression from awareness through action. But what if, instead of ending with the purchase action by the converted customer, we began with this action and, in doing so, focused on achieving three distinct goals: 1. Building solid, ongoing, and authentic bonds or relationships with our customers (customer service and experience); 2. Transforming customers into returning clients and ultimately advocates (customer relationship management); 3. Harnessing the unstoppable power of referrals, recommendations, and word of mouth for outreach to other potential customers (social networking or even a new kind of affiliate marketing). What if, by following these rules, we were able to essentially flip the funnel and reverse engineer future growth from a platform or foundtion of current growth? From the few come the many: That's the mantra of the flipped funnel.

In some respects, we might expect the trajectory of our lives to continue, uninhibited by unexpected tragedies – or even changes of personal character that would compel us to change beliefs or actions in the future. Life is not linear.

First, von Rad’s description of a traditio-historical trajectory of actualization failed to deal adequately with the post-exilic process of the textualization of the tradition which preceded and issued in the canonization of authoritative scripture. Secondly, his understanding of the New Testament as a charismatic, typological appropriation of Israel’s tradition did not adequately deal with the centre of the New Testament’s proclamation of the gospel, which arose from the impact of the resurrection. The effect is that the New Testament was not a linear continuation of the Old Testament, nor does the Old Testament lean toward the New. Rather the direction of the tradition’s growth was often reversed. The evangelists read from the New backward to the Old. The resulting transformed Old Testament served greatly to intensify the problem of Biblical Theology in understanding the nature of the Bible’s unity and indeed led to many of the major concerns of this volume.

It is okay to be a work in progress. To take the time and work on yourself. It is okay to fail. It is okay to fall. It is okay to feel shame sometimes and be embarrassed. It is okay to own up to your mistakes. To take responsibility for your actions. To understand how your actions influence or hurt others. I promise you, it is okay to say, l don’t know. It is okay to feel afraid. It is okay to admit your fears. It is okay to feel alone. It is okay to talk about your feelings. To talk about how paralyzing your mind is spiraling. It is okay to talk about your wounds, to show off your scars too. It is okay if you take a foot forward today and two steps backwards tomorrow. It is okay to not have it all together. It is okay to admit you’ll never be perfect and to know whoever expects perfection from you doesn’t deserve you. It is okay to accept who you are now. I promise you, it is okay to not be okay. It is okay to be a work in progress. Growth is never linear and that’s okay too.

As we journey through life, our growth process is not a linear one. There are periods of time when all is well and we feel satisfied with our lives. Then there are times when everything shifts: we experience losses, a change of job or location, or the need for a new sense of purpose. During these times of flux, we are growing rapidly, transforming our lives and raising our spirits to a higher understanding. We have seasons of growth within us that must be honored.