Success Equation Quotes

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If A is a success in life, then A equals x plus y plus z. Work is x; y is play; and z is keeping your mouth shut
Albert Einstein
One of the greatest barriers to connection is the cultural importance we place on "going it alone." Somehow we've come to equate success with not needing anyone. Many of us are willing to extend a helping hand, but we're very reluctant to reach out for help when we need it ourselves. It's as if we've divided the world into "those who offer help" and "those who need help." The truth is that we are both.
Brené Brown (The Gifts of Imperfection)
An offering for the sake of offering, perhaps. Anyhow, it was her gift. Nothing else had she of the slightest importance; could not think, write, even play the piano. She muddled Armenians and Turks; loved success; hated discomfort; must be liked; talked oceans of nonsense: and to this day, ask her what the Equator was, and she did not know. All the same, that one day should follow another; Wednesday, Thursday, Friday, Saturday; that one should wake up in the morning; see the sky; walk in the park; meet Hugh Whitbread; then suddenly in came Peter; then these roses; it was enough. After that, how unbelievable death was!-that it must end; and no one in the whole world would know how she had loved it all; how, every instant . . .
Virginia Woolf (Mrs. Dalloway)
Only the insane equate pain with success." "The uninformed must improve their deficit, or die." _Cheshire Cat
Lewis Carroll (Alice's Adventures in Wonderland & Other Stories)
In our culture we tend to equate thinking and intellectual powers with success and achievement. In many ways, however, it is an emotional quality that separates those who master a field from the many who simply work at a job. Our levels of desire, patience, persistence, and confidence end up playing a much larger role in success than sheer reasoning powers. Feeling motivated and energized, we can overcome almost anything. Feeling bored and restless, our minds shut off and we become increasingly passive.
Robert Greene (Mastery (The Modern Machiavellian Robert Greene Book 1))
Stress + rest = growth. This equation holds true regardless of what it is that you are trying to grow.
Brad Stulberg (Peak Performance: Elevate Your Game, Avoid Burnout, and Thrive with the New Science of Success)
I do not think that a man's rise to power is necessarily the climax of his life or that his loss of office should be equated with his fall.
Isaac Deutscher (The Prophet Armed: Trotsky, 1879-1921)
There's a quick and easy way to test whether an activity involves skill: ask whether you can lose on purpose.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
The cord that tethers ability to success is both loose and elastic. It is easy to see fine qualities in successful books or to see unpublished manuscripts, inexpensive vodkas, or people struggling in any field as somehow lacking. It is easy to believe that ideas that worked were good ideas, that plans that succeeded were well designed, and that ideas and plans that did not were ill conceived. And it is easy to make heroes out of the most successful and to glance with disdain at the least. But ability does not guarantee achievement, nor is achievement proportional to ability. And so it is important to always keep in mind the other term in the equation—the role of chance…What I’ve learned, above all, is to keep marching forward because the best news is that since chance does play a role, one important factor in success is under our control: the number of at bats, the number of chances taken, the number of opportunities seized.
Leonard Mlodinow (The Drunkard's Walk: How Randomness Rules Our Lives)
we also need to consider letting go of the myth of self-sufficiency. One of the greatest barriers to connection is the cultural importance we place on “going it alone.” Somehow we’ve come to equate success with not needing anyone.
Brené Brown (The Gifts of Imperfection: Let Go of Who You Think You're Suppose to Be and Embrace Who You Are: Let Go of Who You Think You're Supposed to Be and Embrace Who You Are)
Pain does not always equate with something bad; it could simply mean it’s time to adjust. It could be an indication that the time has passed for you to be where you are now and that you need to push to the next level.
Cindy Trimm (PUSH: Persevere Until Success Happens Through Prayer)
The Loguidice Fitness Equation: Eating Right + Knowing How to Workout + Consistency = Success
Bill Loguidice
Don`t turn around in circles for making circles do not equate making progress.
Jaachynma N.E. Agu
Anxiety = Uncertainty x Powerlessness
Chip Conley (Emotional Equations: Simple Truths for Creating Happiness + Success)
When the right people advocate for your work, your success becomes more likely. Being good is necessary, but it is not sufficient. Skill is a prerequisite for creative success, but talent is only part of the equation. The rest is network.
Jeff Goins (Real Artists Don't Starve: Timeless Strategies for Thriving in the New Creative Age)
I really, really wanted to be successful in my life just based on me and my mind alone…I didn’t ever want it to be an equation that amounted to a result coming from my brain plus something else.
Steve Wozniak
Purpose fosters motivation; motivation lets us endure a greater perception of effort; and enduring a greater perception of effort often results in better performance. This equation holds true in every field—from the track to the workplace.
Brad Stulberg (Peak Performance: Elevate Your Game, Avoid Burnout, and Thrive with the New Science of Success)
Curiosity = Wonder + Awe
Chip Conley (Emotional Equations: Simple Truths for Creating Happiness + Success)
Joy = Love - Fear
Chip Conley (Emotional Equations: Simple Truths for Creating Happiness + Success)
Success is math; not magic. It is the sum of a behavioral equation… not the spontaneous fruition of wishful thinking.
Steve Maraboli
Once an innovation reaches a certain level of popularity, its success is virtually assured. By the same token, great innovations can fail because the domino effect doesn't kick in.15
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
I’m intrigued with the idea of surrender not as defeat or loss, as it is frequently thought of, but as a positive, intuitive way of living, a power that grows as you develop trust in the moment as well as in change and the unknown. Contrary to common stereotypes that equate surrender with weakness, I’m presenting it as a way to gain mastery of your life, not give up power.
Judith Orloff (The Power of Surrender: Let Go and Energize Your Relationships, Success, and Well-Being)
Asian children can perform basic functions, such as addition, far more easily. Ask an English-speaking seven-year-old to add thirty-seven plus twenty-two in her head, and she has to convert the words to numbers (37 + 22). Only then can she do the math: 2 plus 7 is 9 and 30 and 20 is 50, which makes 59. Ask an Asian child to add three-tens-seven and two-tens-two, and then the necessary equation is right there, embedded in the sentence. No number translation is necessary: It’s five-tens-nine.
Malcolm Gladwell (Outliers: The Story of Success)
Don’t equate your self-worth with how well you do things in life. You aren’t what you do. If you are what you do, then when you don’t … you aren’t.
Wayne W. Dyer (Everyday Wisdom for Success)
When most people come to believe the same thing, large gaps open up between price and value.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
Successful cooperation does not equate to successful understanding.
Liu Cixin (The Dark Forest (Remembrance of Earth’s Past, #2))
Deliberate practice works when skill dominates, while a focus on process and probability is appropriate when luck is the greater force.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
The people are what matters.
Chris Brogan (The Impact Equation: Are You Making Things Happen or Just Making Noise?)
Salespeople who think that it’s all about price aren’t required: If it can be sold on the internet at the lowest price, you can take the huge cost of a sales team out of the equation.
Chris Murray (Selling with EASE: The Four Step Sales Cycle Found in Every Successful Business Transaction)
The curmudgeons among us are vaguely uneasy about the attention people pay to their phones, and pine for the days of unhurried concentration, while the digital hipsters equate such nostalgia with Luddism and boredom, and believe that increased connection is the foundation for a utopian future.
Cal Newport (Deep Work: Rules for Focused Success in a Distracted World)
The employment equation used to be built on a foundation of two-way loyalty. The world has changed. Today, successful employment relationships can only be sustained on a foundation of two-way honesty
Gyan Nagpal (Talent Economics: The Fine Line Between Winning and Losing the Global War for Talent)
When we walk by sight, we calculate everything from the human perspective, and this always leads to discouragement; but when we walk by faith, God comes into the equation, and that changes the results.
Warren W. Wiersbe (Be Successful (1 Samuel): Attaining Wealth That Money Can't Buy (The BE Series Commentary))
When luck plays a part in determining the consequences of your actions, you don't want to study success to learn what strategy was used but rather study strategy to see whether it consistently led to success.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
EVENT + REACTION = OUTCOME Many people do not distinguish between something that happens to them and their reaction to it. Yet it isn’t the event or situation that holds the emotional charge; it’s our beliefs that create our response.
Chip Conley (Emotional Equations: Simple Steps for Creating Happiness + Success in Business + Life)
colleges and universities do nothing to suggest that some ways of using your education are better than others. They do nothing, in other words, to challenge the values of a society that equates virtue, dignity, and happiness with material success.
William Deresiewicz (Excellent Sheep: The Miseducation of the American Elite and the Way to a Meaningful Life)
Failure is vital. It is an incredibly important quotient in the equation of a career. After you wipe away your tears, it’s not a bad experience and under the right circumstances it will make you better, both as a person and as an artist. I think it’s important to fail, especially between the ages of twenty and thirty. Success is like sugar. It’s too good. It’s too sweet. It’s too wonderful and it burns up very quickly. Failure is like corned beef hash. It takes a while to eat. It takes a while to digest. But it stays with you.
Mel Brooks (All About Me!: My Remarkable Life in Show Business)
This equation has helped many people I know identify the difference between practicing happiness and pursuing it. When my happiness feels elusive, I tend to ask myself, “What am I not being grateful for, and what am I pursuing that’s distracting me from that gratitude?
Chip Conley (Emotional Equations: Simple Steps for Creating Happiness + Success in Business + Life)
Today so many creative and devoted teachers not only have to struggle against unimaginative administrations, fearful parents, and wearied colleagues, they have also to battle entire legislative bodies that have never taught a child yet dare to equate educational success or failure with the ability of fourth graders to choose one out of four given answers to mind-numbing questions that have nothing to do with the joy of literature or the elegance of math.
Esmé Raji Codell (Educating Esmé: Diary of a Teacher's First Year)
Here was So-and-so in South Kensington; some one up in Bayswater; and somebody else, say, in Mayfair. And she felt quite continuously a sense of their existence; and she felt what a waste; and she felt what a pity; and she felt if only they could be brought together; so she did it. And it was an offering; to combine, to create; but to whom? An offering for the sake of offering, perhaps. Anyhow, it was her gift. Nothing else had she of the slightest importance; could not think, write, even play the piano. She muddled Armenians and Turks; loved success; hated discomfort; must be liked; talked oceans of nonsense: and to this day, ask her what the Equator was, and she did not know. All the same, that one day should follow another; Wednesday, Thursday, Friday, Saturday; that one should wake up in the morning; see the sky; walk in the park; meet Hugh Whitbread; then suddenly in came Peter; then these roses; it was enough. After that, how unbelievable death was!—that it must end; and no one in the whole world would know how she had loved it all; how, every instant . . .
Virginia Woolf (Mrs. Dalloway)
In electrodynamics the continuous field appears side by side with the material particle as the representative of physical reality. This dualism, though disturbing to any systematic mind, has today not yet disappeared...The successful physical systems that have been set up since then represent rather a compromise between these two programs, and it is precisely this character of compromise that stamps them as temporary and logically incomplete...I incline to the belief that physicists will...be brought back to the attempt to realize that program which may suitably be called Maxwell's: the description of physical reality by fields which satisfy...a set of partial differential equations.
Albert Einstein
There are no good or bad horses, just correctly or incorrectly priced ones. This principle holds across all probabilistic domains: again, the goal is to get more than you pay for.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
Our minds have an amazing ability to create a narrative that explains the world around us, an ability that works particularly well when we already know the answer.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
The main issue is that putting yourself in a position to enjoy good luck also puts you in a position to lose.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
If you are the stronger player, simplify the interaction to emphasize your skill. If you are the underdog, complicate the game to introduce more luck into the outcome.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
When competing one-on-one, follow two simple rules: If you are the favorite, simplify the game. If you are the underdog, make it more complicated.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
Only the insane equate pain with success.
Cheshire
Think of your emotions as messages that give you the freedom, rather than the obligation, to respond. Fear protects. Regret teaches. Sadness releases. Joy uplifts. Empathy unites. Emotions
Chip Conley (Emotional Equations: Simple Steps for Creating Happiness + Success in Business + Life)
If we want to be irreplaceable, we have to do our very best to make sure our contribution exceeds our pay by as much as possible. Seeking to understand what explicit impact our boss values about us can be part of the equation.... we should carry out the intent of our position which encompasses performing the job we’ve been hired to do and not just the portion of it we enjoy doing
Ronald Harris (Concepts of Managing: A Road Map for Avoiding Career Hazards)
But the process should not be confused with science. When tests are used as selections devices, they're not a neutral tool; they become a large factor int he very equation they purport to measure. For one thing, the tests tend to screen out - or repel - those who would upset the correlation. If a man can't get into the company in the first place because he isn't the company type, he can't very well get to be an executive and be tested in a study to find out what kind if profile subsequent executives should match. Long before personality tests were invented, of course, plenty of companies proved that if you only hire people of a certain type, then all your successful men will be people of that type. But no one confused this with the immutable laws of science.
William H. Whyte (The Organization Man)
Crack the code of X+y=0 in real life and you'll unlock the secret to achieving true equality between your efforts, energy, success, and happiness. Embrace the equation and welcome a fulfilled life
Ahmed Zakaria Mami
Randomness and luck are related, but there is a useful distinction between the two. You can think of randomness as operating at the level of a system and luck operating at the level of the individual.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
As recently as the early 1970s, a Republican president - Richard Nixon - was willing to impose wage and price controls to rescue the U.S. economy from crisis, popularizing the notion that “We are all Keynesians now.” But by the 1980s, the battle of ideas waged out of the same Washington think tanks that now deny climate change had successfully managed to equate the very idea of industrial planning with Stalin’s five-year plans. Real capitalists don’t plan, these ideological warriors insisted - they unleash the power of the profit motive and let the market, in its infinite wisdom, create the best possible society for all.
Naomi Klein (This Changes Everything: Capitalism vs. The Climate)
We need to be willing to fail, learn from our mistakes, and try again. We need to replace our fear with faith (lots more on that to come). Really, there is no other way to overcome this conflict and achieve success.
Hal Elrod (The Miracle Equation: The Two Decisions That Turn Your Biggest Goals from Possible, to Probable, to Inevitable)
Statistics don't appeal to our need to understand cause and effect, which is why they are so frequently ignored or misinterpreted. Stories, on the other hand, are a rich means to communicate precisely because they emphasize cause and effect.
Michael J. Mauboussin (The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing)
All right,” Malcolm said. “Let’s go back to the beginning.” He paused, staring at the ceiling. “Physics has had great success at describing certain kinds of behavior: planets in orbit, spacecraft going to the moon, pendulums and springs and rolling balls, that sort of thing. The regular movement of objects. These are described by what are called linear equations, and mathematicians can solve those equations easily. We’ve been doing it for hundreds of years.” “Okay,” Gennaro said. “But there is another kind of behavior, which physics handles badly. For example, anything to do with turbulence. Water coming out of a spout. Air moving over an airplane wing. Weather. Blood flowing through the heart. Turbulent events are described by nonlinear equations. They’re hard to solve—in fact, they’re usually impossible to solve. So physics has never understood this whole class of events. Until about ten years ago. The new theory that describes them is called chaos theory.
Michael Crichton (Jurassic Park (Jurassic Park, #1))
It was confidently believed that the scientific successes of the industrial revolution could be carried through into the social sciences, particularly with such movements as Marxism. Pseudoscience came with a collection of idealistic nerds who tried to create a tailor-made society, the epitome of which is the central planner. Economics was the most likely candidate for such use of science; you can disguise charlatanism under the weight of equations, and nobody can catch you since there is no such thing as a controlled experiment.
Nassim Nicholas Taleb (Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets (Incerto))
As Viktor Frankl wrote, “Between stimulus and response there is a space. In that space is our power to choose our response. In our response lies our growth and our freedom.” You have the power to choose how you respond. You are a product of your decisions, not your conditions. In
Chip Conley (Emotional Equations: Simple Steps for Creating Happiness + Success in Business + Life)
These days, I have little desire for new material possessions (although that baleful yearning still lingers from time to time), but I do want to be successful. And success for me has little to do with money or possessions or status. Rather, success is a simple equation: Happiness + Growth + Contribution = Success. That’s the only kind of success I know. Hence, I want to partake in work that makes me happy, work that encourages me to grow, work that helps me contribute beyond myself. Ultimately, I want to create more and consume less. Doing so requires real work. Within
Joshua Fields Millburn (Everything That Remains: A Memoir by The Minimalists)
The human mind is an incredible thing. It can conceive of the magnificence of the heavens and the intricacies of the basic components of matter. Yet for each mind to achieve its full potential, it needs a spark. The spark of enquiry and wonder. Often that spark comes from a teacher. Allow me to explain. I wasn’t the easiest person to teach, I was slow to learn to read and my handwriting was untidy. But when I was fourteen my teacher at my school in St Albans, Dikran Tahta, showed me how to harness my energy and encouraged me to think creatively about mathematics. He opened my eyes to maths as the blueprint of the universe itself. If you look behind every exceptional person there is an exceptional teacher. When each of us thinks about what we can do in life, chances are we can do it because of a teacher. [...] The basis for the future of education must lie in schools and inspiring teachers. But schools can only offer an elementary framework where sometimes rote-learning, equations and examinations can alienate children from science. Most people respond to a qualitative, rather than a quantitative, understanding, without the need for complicated equations. Popular science books and articles can also put across ideas about the way we live. However, only a small percentage of the population read even the most successful books. Science documentaries and films reach a mass audience, but it is only one-way communication.
Stephen Hawking (Brief Answers to the Big Questions)
You are not your idea, and if you identify too closely with your ideas, you will take offense when they are challenged. To set up a healthy feedback system, you must remove power dynamics from the equation—you must enable yourself, in other words, to focus on the problem, not the person.
Ed Catmull (Creativity, Inc.: an inspiring look at how creativity can - and should - be harnessed for business success by the founder of Pixar)
A 2013 study by the National Center on Education and the Economy found that “the mathematics that most enables students to be successful in college courses is not high school mathematics, but middle school mathematics, especially arithmetic, ratio, proportion, expressions and simple equations.
Tony Wagner (Most Likely to Succeed: Preparing Our Kids for the Innovation Era)
Tragically, most of us start with our sense of identity, believing that if we build out the mythology of who we think we are, then the more attractive our identity and the more valuable we become. But when we equate our dignity with the sum value of the fortification of stories we tell about our identity, we create a no-win scenario that will always lead to disillusionment and pain. Overidentifying with our success or failure, allowing the fragments of our identity to lay claim to the whole, and falling into the addictive loop of our mental and emotional preoccupations keep us stuck.
Christopher L. Heuertz (The Sacred Enneagram: Finding Your Unique Path to Spiritual Growth)
One can sympathize with the sentiment of Pakistanis who must constantly defend their country against criticism ranging from questioning of its very creation to its current policies. But it is equally important to understand that mere survival does not equate success and that progress often requires uninhibited introspection.
Husain Haqqani (Reimagining Pakistan: Transforming a Dysfunctional Nuclear State)
How well your readers connect with and care about this character determines the success of a story. In other words, if they've emotionally gone on the journey with the character, suffered with and experienced the joys and triumphs of the character, as well as learned the lessons and truths, only then have you, the author, done your job.
Susan May Warren (The Story Equation: How to Plot and Write a Brilliant Story from One Powerful Question (Brilliant Writer Series))
Eisenhower instinctively felt that the gossamer tissue of personal relationships counted for far more than the formal architecture of his table of organization in determining the success or failure of his command. “The problem of establishing unity in any allied command,” he explained to Lord Louis Mountbatten, “involves the human equation.
Walter Isaacson (Profiles in Leadership: Historians on the Elusive Quality of Greatness)
Economic gloom lightens your wallet while weighing down your spirit. Five of the ten most stressful life events are related to whether you are employed and whether the quality of your work experience is good. Your work does more than affect your self-esteem; it organizes your day, connects you with others, and can give you a sense of purpose. Not
Chip Conley (Emotional Equations: Simple Steps for Creating Happiness + Success in Business + Life)
Quantity isnt to be equated with quality, but success in propagation is, in the end, as necessary for memes (however excellent) as it is for organisms. Most organisms leave no issue, and most published books have readerships in the dozens, not thousands, before going out of print for good. Even the greatest works of genius must still pass the test of differential replication.
Daniel C. Dennett (From Bacteria to Bach and Back: The Evolution of Minds)
The key point here is that resilience comes not only from the confidence and self-belief that we gain from the successes in our lives but, perhaps more importantly, from surviving, adjusting, and moving on after the inevitable failures and challenges. It takes both sides of this equation to build our superpower of resilience. We need to go through hard things in order to know we can survive them.
Wendy Suzuki (Good Anxiety: Harnessing the Power of the Most Misunderstood Emotion)
Many of the streams that feed the river of culture are polluted, and the soil this river should be watering is thus parched and fragmented. Most of these we know, but let me briefly touch on some of the fault lines in the cultural soil (starving the soul) as well as some of the sources of the poisons in the water (polluting the soul).   Starving the cultural soul   One of the most powerful sources of cultural fragmentation has grown out of the great successes of the industrial revolution. Its vision, standards, and methods soon proliferated beyond the factory and the economic realm and were embraced in sectors from education to government and even church. The result was reductionism. Modern people began to equate progress with efficiency. Despite valiant and ongoing resistance from many quarters—including industry—success for a large part of our culture is now judged by efficient production and mass consumption. We often value repetitive, machine-like performance as critical to “bottom line” success. In the seductive industrialist mentality, “people” become “workers” or “human resources,” who are first seen as interchangeable cogs, then treated as machines—and are now often replaced by machines.
Makoto Fujimura (Culture Care: Reconnecting with Beauty for our Common Life)
The only modern narrative that handles the conundrum semi-successfully is Richard Kelly’s Donnie Darko, where schizophrenic heartthrob Jake Gyllenhaal uses a portal to move back in time twelve days, thereby allowing himself to die in an accident he had previously avoided. By removing himself from the equation, he never meets his new girlfriend, which keeps her from dying in a car accident that was his fault.
Chuck Klosterman (Eating the Dinosaur)
Sharing is equated with being a decent person. That may fit for adults but it is far from fitting for young children. Misunderstanding what sharing is and how your child learns about it over time gets in the way of healthy social development. This is especially true if share means giving up what they have and need. People who feel deprived or in need of something do not feel generous, especially when they are two, three, four, or five.
Tovah P. Klein (How Toddlers Thrive: What Parents Can Do Today for Children Ages 2-5 to Plant the Seeds of Lifelong Success)
Earth (481-640) People with this personality type are likely to become successful leaders. You tend to be more disciplined and careful at planning tasks. Loyalty and trust are important equations in your relationships hence they prove to be your strength in hard times. You respect others and keep people united which makes people flourish under your leadership. Earth signs are efficient decision makers hence always remain firm on the step they took.
Marie Max House (Which Element are You?: Fire, Water, Earth or Air)
Today’s dating sites mean easy access to countless singles tailored to your exact desires, with your perfect match only a click of a button away. Or at least that’s how we think it should be—but sometimes too much choice can just make it harder to weed out the bad options. For some of us, online dating is a succession of frogs with no prince at the end of it. For others, more choice seems to equal more rejection. The good news, as ever, is that math can help.
Hannah Fry (The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation)
5.4 The question of accumulation. If life is a wager, what form does it take? At the racetrack, an accumulator is a bet which rolls on profits from the success of one of the horse to engross the stake on the next one. 5.5 So a) To what extent might human relationships be expressed in a mathematical or logical formula? And b) If so, what signs might be placed between the integers?Plus and minus, self-evidently; sometimes multiplication, and yes, division. But these sings are limited. Thus an entirely failed relationship might be expressed in terms of both loss/minus and division/ reduction, showing a total of zero; whereas an entirely successful one can be represented by both addition and multiplication. But what of most relationships? Do they not require to be expressed in notations which are logically improbable and mathematically insoluble? 5.6 Thus how might you express an accumulation containing the integers b, b, a (to the first), a (to the second), s, v? B = s - v (*/+) a (to the first) Or a (to the second) + v + a (to the first) x s = b 5.7 Or is that the wrong way to put the question and express the accumulation? Is the application of logic to the human condition in and of itself self-defeating? What becomes of a chain of argument when the links are made of different metals, each with a separate frangibility? 5.8 Or is "link" a false metaphor? 5.9 But allowing that is not, if a link breaks, wherein lies the responsibility for such breaking? On the links immediately on the other side, or on the whole chain? But what do you mean by "the whole chain"? How far do the limits of responsibility extend? 6.0 Or we might try to draw the responsibility more narrowly and apportion it more exactly. And not use equations and integers but instead express matters in the traditional narrative terminology. So, for instance, if...." - Adrian Finn
Julian Barnes (The Sense of an Ending)
Cultivating a willingness to succeed despite any and all circumstances is the most important variable of the reengagement equation. Your willingness to succeed builds self-esteem. It broadens your concept of your own capability, yet it is the first thing we lose touch with when things go bad. After that, giving up often feels like the sanest option, and maybe it is, but know that quitting chips away at your self-worth and always requires some level of mental rehab. Even if what forces you to quit is an injury or something else beyond your control, you will still have to bounce back from the experience mentally. A successful mission seldom requires any emotional maintenance. In order to execute on your willingness to succeed, you will need to be able to perform without purpose. You’ve heard of purpose, that magical missing ingredient crucial to landing a fulfilling career and building a happy life. What if I told you the importance of finding your purpose was overblown? What if there never was any such thing as your good friend purpose? What if it doesn’t matter what the fuck you do with your time here? What if it’s all arbitrary and life doesn’t give a flying fuck if you want to be happy? What then? All I know is this: I am David Fucking Goggins. I exist; therefore, I complete what I start. I take pride in my effort and in my performance in all phases of life. Just because I am here! If I’m lost, I will find myself. As long as I’m on planet Earth, I will not half-ass it. Anywhere I lack, I will improve because I exist and I am willing.
David Goggins (Never Finished: Unshackle Your Mind and Win the War Within)
The artist, he imagined, standing in the position of mediator between the world of his experience and the world of his dreams—a mediator, consequently gifted with twin faculties, a selective faculty and a reproductive faculty. To equate these faculties was the secret of artistic success: the artist who could disentangle the subtle soul of the image from its mesh of defining circumstances most exactly and re-embody it in artistic circumstances chosen as the most exact for it in its new office, he was the supreme artist.
James Joyce (The Essential James Joyce: Including Novels & Critical Writings)
Urging Koch on in his chosen vocation was something else as well: his belief that his own growing financial success as one of the richest men in the world already justified his slowly taking over the libertarian cause and shaping it to his will. For in his own mind his success confirmed the quality of his intelligence and his fitness as a leader. From Ludwig von Mises, Koch had learned that entrepreneurs were the unsung geniuses of human history, deserving of a kind of reverence reminiscent of the old Puritan doctrine that equated earthly success with divine favor.23
Nancy MacLean (Democracy in Chains: The Deep History of the Radical Right's Stealth Plan for America)
All philosophical and inquisitive men share doubts, experience dread, endure pain, and suffer loneliness. The thinking man accepts that the quest is as much a part of life’s adventure as the final destination. The journey we take is as critical to experiencing a meaningful existence as is our actual arrival at the sought after objective. Whether we successfully arrive at our sought after designation, is only part of the equation. The ultimate objective is not reaching some point on the faraway hills, but gaining self-knowledge and increasing self-awareness on the long trek through time.
Kilroy J. Oldster (Dead Toad Scrolls)
All knowledge of reality starts from experience and ends in it.” But he immediately proceeded to emphasize the role that “pure reason” and logical deductions play. He conceded, without apology, that his success using tensor calculus to come up with the equations of general relativity had converted him to a faith in a mathematical approach, one that emphasized the simplicity and elegance of equations more than the role of experience. The fact that this method paid off in general relativity, he said, “justifies us in believing that nature is the realization of the simplest conceivable mathematical ideas.”45
Walter Isaacson (Einstein: His Life and Universe)
I once read a question that somone used to begin their self-assessment: who do you most admire and why? If you are an american and have a TV in your house, you'd probably be tempted to list some sports figure, actor, singer, artist, successful businessman, or influential leader. We have been led to equate greatness with success, talent, power and recognition. Would we include on our list a single mom or dad who has faithfully served their family, the person who volunteers at the soup kitchen or homeless shelter, the guy who shovels snow for the elderly couple down the street or the soldier serving somewhere around the globe?
Donna Mull (A Prayer Journey Through Deployment)
method developed by John Nash and Jürgen Moser is one of the pillars of the Kolmogorov–Arnold–Moser (KAM) theory that Étienne had mentioned. I also knew that Nash–Moser relies on Newton’s extraordinary iteration scheme for finding successively better approximations to the roots of real-valued equations—a method that converges unimaginably fast, exponentially exponentially fast!—and that Kolmogorov was able to exploit it with remarkable ingenuity. Frankly, I couldn’t see any connection whatever between these things and Landau damping. But who knows, I muttered to myself, perhaps Étienne’s intuition will turn out to be correct.…
Cédric Villani (Birth of a Theorem: A Mathematical Adventure)
The gestures of models (mannequins) and mythological figures. The romantic use of nature (leaves, trees, water) to create a place where innocence can be refound. The exotic and nostalgic attraction of the Mediterranean. The poses taken up to denote stereotypes of women: serene mother (madonna), free-wheeling secretary (actress, king’s mistress), perfect hostess (spectator-owner’s wife), sex-object (Venus, nymph surprised), etc. The special sexual emphasis given to women’s legs. The materials particularly used to indicate luxury: engraved metal, furs, polished leather, etc. The gestures and embraces of lovers, arranged frontally for the benefit of the spectator. The sea, offering a new life. The physical stance of men conveying wealth and virility. The treatment of distance by perspective – offering mystery. The equation of drinking and success. The man as knight (horseman) become motorist. Why does publicity depend so heavily upon the visual language of oil painting? Publicity is the culture of the consumer society. It propagates through images that society’s belief in itself. There are several reasons why these images use the language of oil painting. Oil painting, before it was anything else, was a celebration of private property. As an art-form it derived from the principle that you are what you have.
John Berger (Ways of Seeing)
Here’s what turns a successful hierarchy into one that impedes progress: when too many people begin, subconsciously, to equate their own value and that of others with where they fall in the pecking order. Thus, they focus their energies on managing upward while treating people beneath them on the organizational chart poorly. The people I have seen do this seem to be acting on animal instinct, unaware of what they are doing. This problem is not caused by hierarchy itself but by individual or cultural delusions associated with hierarchy, chiefly those that assign personal worth based on rank. By not thinking about how and why we value people, we can fall into this trap almost by default.
Ed Catmull (Creativity, Inc.: an inspiring look at how creativity can - and should - be harnessed for business success by the founder of Pixar)
Therein lies the key, I think, to Einstein’s brilliance and the lessons of his life. As a young student he never did well with rote learning. And later, as a theorist, his success came not from the brute strength of his mental processing power but from his imagination and creativity. He could construct complex equations, but more important, he knew that math is the language nature uses to describe her wonders. So he could visualize how equations were reflected in realities—how the electromagnetic field equations discovered by James Clerk Maxwell, for example, would manifest themselves to a boy riding alongside a light beam. As he once declared, “Imagination is more important than knowledge.”6
Walter Isaacson (Einstein: His Life and Universe)
Meanwhile, people are busy using fractals to explain any system that has defied other, more reductionist approaches. Since they were successfully applied by IBM's Benoit Mandlebrot to the problem of seemingly random, intermittent interference on the phone lines, fractals have been used to identify underlying patterns in weather systems, computer files, and bacteria cultures. Sometimes fractal enthusiasts go a bit too far, however, using these nonlinear equations to mine for patterns in systems where none exist. Applied to the stock market to consumer behavior, fractals may tell less about those systems than about the people searching for patterns within them. There is a dual nature to fractals: They orient us while at the same time challenging our sense of scale and appropriateness. They offer us access to the underlying patterns of complex systems while at the same time tempting us to look for patterns where none exist. This makes them a terrific icon for the sort of pattern recognition associated with present shock—a syndrome we'll call factalnoia. Like the robots on Mystery Science Theater 3000, we engage by relating one thing to another, even when the relationship is forced or imagined. The tsunami makes sense once it is connected to chemtrails, which make sense when they are connected to HAARP. It's not just conspiracy theorists drawing fractalnoid connections between things. In a world without time, any and all sense making must occur on the fly. Simultaneity often seems like all we have. That's why anyone contending with present shock will have a propensity to make connections between things happening in the same moment—as if there had to be an underlying logic.
Douglas Rushkoff (Present Shock: When Everything Happens Now)
Edith, in her veal-coloured room in the Hotel du Lac, sat with her hands in her lap, wondering what she was doing there. And then remembered, and trembled. And thought with shame of her small injustices, of her unworthy thoughts towards those excellent women who had befriended her, and to whom she had revealed nothing. I have been too harsh on women, she thought, because I understand them better than I understand men. I know their watchfulness, their patience, their need to advertise themselves as successful. Their need never to admit to a failure. I know all that because I am one of them. I am harsh because I remember Mother and her unkindness, and because I am continually on the alert for more. But women are not all like Mother, and it is really stupid of me to imagine that they are. Edith, Father would have said, think a little. You have made a false equation.
Anita Brookner (Hotel du Lac)
In the history of science it happens not infrequently that a reductionist approach leads to a spectacular success. Frequently the understanding of a complicated system as a whole is impossible without an understanding of its component parts. And sometimes the understanding of a whole field of science is suddenly advanced by the discover of a single basic equation. Thus it happened that the Schrodinger equation in 1926 and the Dirac equation in 1927 brought a miraculous order into the previously mysterious processes of atomic physics. The equations of Erwin Schrodinger and Paul Dirac were triumphs of reductionism. Bewildering complexities of chemistry and physics were reduced to two lines of algebraic symbols. These triumphs were in Oppenheimer's mind when he belittled his own discovery of black holes. Compared with the abstract beauty and simplicity of the Dirac equation, the black hole solution seemed to him ugly, complicated, and lacking in fundamental significance.
Freeman Dyson (The Scientist as Rebel)
In the same movie, Emperor Joseph II offers Mozart some musical advice: "Your work is ingenious. It's quality work. And there are simply too many notes, that's all. Just cut a few and it will be perfect." The emperor was put off by the surface complexity of Mozart's music. He didn't see that each note served a purpose-to make a promise or fulfill one, to complete a pattern or vary one. Similarly, at first encounter people are sometimes put off by the superficial complexity of fundamental physics. Too many gluons! But each of the eight color gluons is there for a purpose. Together, they fulfill complete symmetry among the color charges. Take one gluon away, or change its properties, and the structure would fall. Specifically, if you make such a change, then the theory formerly known as QCD begins to predict gibberish; some particles are produced with negative probabilities, and others with probability greater than 1. Such a perfectly rigid theory, one that doesn't allow consistent modification, is extremely vulnerable. If any of its predictions are wrong, there's nowhere to hide. No fudge factors or tweaks are available. On the other hand, a perfectly rigid theory, once it shows significant success, becomes very powerful indeed. Because if it's approximately right and can't be changed, then it must be exactly right! Salieri's criteria explain why symmetry is such an appealing principle for theory building. Systems with symmetry are well on the path to Salieri's perfection. The equations governing different objects and different situations must be strictly related, or the symmetry is diminished. With enough violations all pattern is lost, and the symmetry falls. Symmetry helps us make perfect theories. So the crux of the matter is not the number of notes or the number of particles or equations. It is the perfection of the designs they embody. If removing any one would spoil the design, then the number is exactly what it should be. Mozart's answer to the emperor was superb: "Which few did you have in mind, Majesty?
Frank Wilczek (The Lightness of Being: Mass, Ether, and the Unification of Forces)
Successful cooperation does not equate to successful understanding. There was no question that Zhang Beihai was the most capable political commissar on the ship, and he was forthright in his work, exploring every last issue with complete precision. But his internal world was a bottomless gray to Wu Yue, who always felt like Zhang Beihai was saying: Just do it this way. This way’s best, or most correct. But it’s not what I really want. It began as an indistinct feeling that grew increasingly obvious. Of course, whatever Zhang Beihai did was always the best or most correct, but Wu Yue had no idea what he actually wanted. Wu Yue adhered to one article of faith: Command of a warship was a dangerous position, so the two commanders must understand each other’s minds. This presented Wu Yue with a knotty problem. At first, he thought that Zhang Beihai was somehow on guard, which offended Wu. In the tough post of captain of a destroyer, was anyone more forthright and guileless than he was? What do I have worth guarding against?
Liu Cixin (The Dark Forest (Remembrance of Earth’s Past, #2))
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.
Patricia E. West (Conscience: Your Ultimate Personal Survival Guide)
They recruited senior research scientists from different local companies as subjects, and asked them to bring with them to the sessions at least two different problems on which they had been working without success for at least three months. These subjects were executives at Hewlett-Packard, fellows at the Stanford Research Institute, architects, and designers. Among them were the people who would design the first silicon chips, create word processing, and invent the computer mouse. Fadiman and his colleagues administered one-hundred-microgram doses of LSD to the subjects and guided them through the next hours as they puzzled over their intractable problems.*3 The subjects worked on their problems and took a variety of psychometric tests. The results were striking. Many of the subjects experienced flashes of intellectual intuition. Their performance on the psychometric tests improved, but, more important, they solved their thorny equations and problems. According to Fadiman, “A number of patents, products, and publications emerged out of that study.
Ayelet Waldman (A Really Good Day: How Microdosing Made a Mega Difference in My Mood, My Marriage, and My Life)
James Clerk Maxwell helped to enshrine this wave theory when he successfully conjectured a connection between light, electricity, and magnetism. He came up with equations that described the behavior of electric and magnetic fields, and when they were combined they predicted electromagnetic waves. Maxwell found that these electromagnetic waves had to travel at a certain speed: approximately 186,000 miles per second.* That was the speed that scientists had already measured for light, and it was obviously not a mere coincidence.4 It became clear that light was the visible manifestation of a whole spectrum of electromagnetic waves. This includes what we now call AM radio signals (with a wavelength of 300 yards), FM radio signals (3 yards), and microwaves (3 inches). As the wavelengths get shorter (and the frequency of the wave cycles thus increases), they produce the spectrum of visible light, ranging from red (25 millionths of an inch) to violet (14 millionths of an inch). Even shorter wavelengths produce ultraviolet rays, X-rays, and gamma rays. When we speak of “light” and the “speed of light,” we mean all electromagnetic waves, not just the ones that are visible to our eyes.
Walter Isaacson (Einstein: His Life and Universe)
The main ones are the symbolists, connectionists, evolutionaries, Bayesians, and analogizers. Each tribe has a set of core beliefs, and a particular problem that it cares most about. It has found a solution to that problem, based on ideas from its allied fields of science, and it has a master algorithm that embodies it. For symbolists, all intelligence can be reduced to manipulating symbols, in the same way that a mathematician solves equations by replacing expressions by other expressions. Symbolists understand that you can’t learn from scratch: you need some initial knowledge to go with the data. They’ve figured out how to incorporate preexisting knowledge into learning, and how to combine different pieces of knowledge on the fly in order to solve new problems. Their master algorithm is inverse deduction, which figures out what knowledge is missing in order to make a deduction go through, and then makes it as general as possible. For connectionists, learning is what the brain does, and so what we need to do is reverse engineer it. The brain learns by adjusting the strengths of connections between neurons, and the crucial problem is figuring out which connections are to blame for which errors and changing them accordingly. The connectionists’ master algorithm is backpropagation, which compares a system’s output with the desired one and then successively changes the connections in layer after layer of neurons so as to bring the output closer to what it should be. Evolutionaries believe that the mother of all learning is natural selection. If it made us, it can make anything, and all we need to do is simulate it on the computer. The key problem that evolutionaries solve is learning structure: not just adjusting parameters, like backpropagation does, but creating the brain that those adjustments can then fine-tune. The evolutionaries’ master algorithm is genetic programming, which mates and evolves computer programs in the same way that nature mates and evolves organisms. Bayesians are concerned above all with uncertainty. All learned knowledge is uncertain, and learning itself is a form of uncertain inference. The problem then becomes how to deal with noisy, incomplete, and even contradictory information without falling apart. The solution is probabilistic inference, and the master algorithm is Bayes’ theorem and its derivates. Bayes’ theorem tells us how to incorporate new evidence into our beliefs, and probabilistic inference algorithms do that as efficiently as possible. For analogizers, the key to learning is recognizing similarities between situations and thereby inferring other similarities. If two patients have similar symptoms, perhaps they have the same disease. The key problem is judging how similar two things are. The analogizers’ master algorithm is the support vector machine, which figures out which experiences to remember and how to combine them to make new predictions.
Pedro Domingos (The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World)
This was undoubtedly one of symmetry's greatest success stories. Glashow, Wienberg, and Salam managed to unmask the electromagnetic and weak forces by recognizing that underneath the differences in the strengths of these two forces (the electromagnetic force is about a hundred thousand times stronger within the nucleus) and the different masses of the messenger particles lay a remarkable symmetry. The forces of nature take the same form if electrons are interchanged with neutrinos or with any mixture of the two. The same is true when photons are interchanged with the W and Z force-messengers. The symmetry persists even if the mixtures vary from place to place or from time to time. The invariance of the laws under such transformations performed locally in space and time has become known as gauge symmetry. In the professional jargon, a gauge transformation represents a freedom in formulating the theory that has no directly observable effects-in other words, a transformation to which the physical interpretation is insensitive. Just as the symmetry of the laws of nature under any change of the spacetime coordinates requires the existence of gravity, the gauge symmetry between electrons and neutrinos requires the existence of the photons and the W and Z messenger particles. Once again, when the symmetry is put first, the laws practically write themselves. A similar phenomenon, with symmetry dictating the presence of new particle fields, repeats itself with the strong nuclear force.
Mario Livio (The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry)
Dr. Gilligan states: “I am suggesting that the only way to explain the causes of violence, so that we can learn how to prevent it, is to approach violence as a problem in public health and preventive medicine, and to think of violence as a symptom of life-threatening pathology, which, like all form of illness, has an etiology or cause, a pathogen.”160 In Dr. Gilligan's diagnosis he makes it very clear that the greatest cause of violent behavior is social inequality, highlighting the influence of shame and humiliation as an emotional characteristic of those who engage in violence.161 Thomas Scheff, a emeritus professor of sociology in California stated that “shame was the social emotion”.162 Shame and humiliation can be equated with the feelings of stupidity, inadequacy, embarrassment, foolishness, feeling exposed, insecurity and the like – all largely social or comparative in their origin. Needless to say, in a global society with not only growing income disparity but inevitably “self-worth” disparity - since status is touted as directly related to our “success” in our jobs, bank account levels and the like - it is no mystery that feelings of inferiority, shame and humiliation are staples of the culture today. The consequence of those feelings have very serious implications for public health, as noted before, including the epidemic of the behavioral violence we now see today in its various complex forms. Terrorism, local school and church shootings, along with other extreme acts that simply did not exist before in the abstractions they find context today, reveals a unique evolution of violence itself. Dr. Gilligan concludes: “If we wish to prevent violence, then, our agenda is political and economic reform.”163
TZM Lecture Team (The Zeitgeist Movement Defined: Realizing a New Train of Thought)
theory. “The development of the general theory of relativity introduced Einstein to the power of abstract mathematical formalisms, notably that of tensor calculus,” writes the astrophysicist John Barrow. “A deep physical insight orchestrated the mathematics of general relativity, but in the years that followed the balance tipped the other way. Einstein’s search for a unified theory was characterized by a fascination with the abstract formalisms themselves.”44 In his Oxford lecture, Einstein began with a nod to empiricism: “All knowledge of reality starts from experience and ends in it.” But he immediately proceeded to emphasize the role that “pure reason” and logical deductions play. He conceded, without apology, that his success using tensor calculus to come up with the equations of general relativity had converted him to a faith in a mathematical approach, one that emphasized the simplicity and elegance of equations more than the role of experience. The fact that this method paid off in general relativity, he said, “justifies us in believing that nature is the realization of the simplest conceivable mathematical ideas.”45 That is an elegant—and also astonishingly interesting—creed. It captured the essence of Einstein’s thought during the decades when mathematical “simplicity” guided him in his search for a unified field theory. And it echoed the great Isaac Newton’s declaration in book 3 of the Principia: “Nature is pleased with simplicity.” But Einstein offered no proof of this creed, one that seems belied by modern particle physics.46 Nor did he ever fully explain what, exactly, he meant by mathematical simplicity. Instead, he merely asserted his deep intuition that this is the way God would make the universe. “I am convinced that we can discover by means of purely mathematical constructions the concepts and the laws connecting them with each other,” he claimed.
Walter Isaacson (Einstein: His Life and Universe)
Earth (481-640) People with this personality type are likely to become successful leaders. You tend to be more disciplined and careful at planning tasks. Loyalty and trust are important equations in your relationships hence they prove to be your strength in hard times. You respect others and keep people united which makes people flourish under your leadership. Earth signs are efficient decision makers hence always remain firm on the step they took. Fire: (400-300) Fire people are smart enthusiastic and energetic to be around. You are very competitive and curious, and more often very passionate about your goals and desires. Trusting people with a job or any important personal task is hard hence making emotional connections are difficult for you. making friends or getting a lover, your life is full of drama and there’s always a lot happening around you. You are intelligent and always find new ways to do things Water (160-320) Water people are kind and empathetic but sensitive. And you sometimes tend to become people pleasers. being quite impulsive and always in a hurry, you make decisions haphazardly. Water people are shy and introverted while partying around with friends on a weekend would be the last thing you want to do. You dread small talk and expressing yourself to a group of people is quite a demanding job. People feel relaxed in your presence you bring out the best in them. Decision-making can be demanding and you are sometimes regretful of overthinking and hence not capable of finding a firm decision. Air: (0-160) You have quite an entrancing personality. People are naturally drawn towards you and find your company comforting and friendly. Air signs are naturally smart and quite efficient in their workplace. While using your challenges and opportunities wisely you are likely to have great careers. you are good at advising your colleagues. But being bound in a relationship sometimes doesn’t seem to help you, rather you respect open free yet intimate emotional connections. Air people who are artistic and creative always look at things from a unique lens. So now you know your element.
Marie Max House (Which Element are You?: Fire, Water, Earth or Air)
Two Types of Subatomic Particles Fermions (matter) Bosons (forces) electron, quark, photon, graviton, neutrino, proton Yang-Mills Bunji Sakita and Jean-Loup Gervais then demonstrated that string theory had a new type of symmetry, called supersymmetry. Since then, supersymmetry has been expanded so that it is now the largest symmetry ever found in physics. As we have emphasized, beauty to a physicist is symmetry, which allows us to find the link between different particles. All the particles of the universe could then be unified by supersymmetry. As we have emphasized, a symmetry rearranges the components of an object, leaving the original object the same. Here, one is rearranging the particles in our equations so that fermions are interchanged with bosons and vice versa. This becomes the central feature of string theory, so that the particles of the entire universe can be rearranged into one another. This means that each particle has a super partner, called a sparticle, or super particle. For example, the super partner of the electron is called the selectron. The super partner of the quark is called the squark. The superpartner of the lepton (like the electron or neutrino) is called the slepton. But in string theory, something remarkable happens. When calculating quantum corrections to string theory, you have two separate contributions. You have quantum corrections coming from fermions and also bosons. Miraculously, they are equal in size, but occur with the opposite sign. One term might have a positive sign, but there is another term that is negative. In fact, when they are added together, these terms cancel against each other, leaving a finite result. The marriage between relativity and the quantum theory has dogged physicists for almost a century, but the symmetry between fermions and bosons, called supersymmetry, allows us to cancel many of these infinities against each other. Soon, physicists discovered other means of eliminating these infinities, leaving a finite result. So this is the origin of all the excitement surrounding string theory: it can unify gravity with the quantum theory. No other theory can make this claim. This may satisfy Dirac’s original objection. He hated renormalization theory because, in spite of its fantastic and undeniable successes, it involved adding and subtracting quantities that were infinite in size. Here, we see that string theory is finite all by itself, without renormalization
Michio Kaku (The God Equation: The Quest for a Theory of Everything)
In 1933 things were still being taught in the higher educational establishments which had been proven by science to be false as long ago as 1899. The young man who wishes to keep abreast of the times, therefore, had to accept a double load on his unfortunate brain. In a hundred years' time, the number of people wearing spectacles, and the size of the human brain, will both have increased considerably; but the people will be none the more intelligent. What they will look like, with their enormous, bulging heads, it is better not to try to imagine; they will probably be quite content with their own appearance, but if things continue in the manner predicted by the scientists, I think we can count ourselves lucky that we shall not live to see them! When I was a schoolboy, I did all I could to get out into the open air as much as possible—my school reports bear witness to that ! In spite of this, I grew up into a reasonably intelligent young man, I developed along very normal lines, and I learnt a lot of things of which my schoolfellows learnt nothing. In short, our system of education is the exact opposite of that practised in the gymnasia of ancient days. The Greek of the golden age sought a harmonious education; we succeed only in producing intellectual monsters. Without the introduction of conscription, we should have fallen into complete decadence, and it is thanks to this universal military service that the fatal process has been arrested. This I regard as one of the greatest events in history. When I recall my masters at school, I realise that half of them were abnormal; and the greater the distance from which I look back on them, the stronger is my conviction that I am quite right. The primary task of education is to train the brain of the young. It is quite impossible to recognise the potential aspirations of a child of ten. In old days teachers strove always to seek out each pupil's weak point, and by exposing and dwelling on it, they successfully killed the child's self-confidence. Had they, on the contrary, striven to find the direction in which each pupil's talents lay, and then concentrated on the development of those talents, they would have furthered education in its true sense. Instead, they sought mass-production by means of endless generalisations. A child who could not solve a mathematical equation, they said, would do no good in life. It is a wonder that they did not prophesy that he would come to a bad and shameful end! Have things changed much to-day, I wonder? I am not sure, and many of the things I see around me incline me to the opinion that they have not.
Adolf Hitler (Hitler's Table Talk, 1941-1944)
But so far, we have only discussed applying quantum mechanics to the matter that moves within the gravity fields of Einstein’s theory. We have not discussed a much more difficult question: applying quantum mechanics to gravity itself in the form of gravitons. And this is where we encounter the biggest question of all: finding a quantum theory of gravity, which has frustrated the world’s great physicists for decades. So let us review what we have learned so far. We recall that when we apply the quantum theory to light, we introduce the photon, a particle of light. As this photon moves, it is surrounded by electric and magnetic fields that oscillate and permeate space and obey Maxwell’s equations. This is the reason why light has both particle-like and wavelike properties. The power of Maxwell’s equations lies in their symmetries—that is, the ability to turn electric and magnetic fields into each other. When the photon bumps into electrons, the equation that describes this interaction yields results that are infinite. However, using the bag of tricks devised by Feynman, Schwinger, Tomonaga, and many others, we are able to hide all the infinities. The resulting theory is called QED. Next, we applied this method to the nuclear force. We replaced the original Maxwell field with the Yang-Mills field, and replaced the electron with a series of quarks, neutrinos, etc. Then we introduced a new bag of tricks devised by ’t Hooft and his colleagues to eliminate all the infinities once again. So three of the four forces of the universe could now be unified into a single theory, the Standard Model. The resulting theory was not very pretty, since it was created by cobbling together the symmetries of the strong, weak, and electromagnetic forces, but it worked. But when we apply this tried-and-true method to gravity, we have problems. In theory, a particle of gravity should be called the graviton. Similar to the photon, it is a point particle, and as it moves at the speed of light, it is surrounded by waves of gravity that obey Einstein’s equations. So far, so good. The problem occurs when the graviton bumps into other gravitons and also atoms. The resulting collision creates infinite answers. When one tries to apply the bag of tricks painfully formulated over the last seventy years, we find that they all fail. The greatest minds of the century have tried to solve this problem, but no one has been successful. Clearly, an entirely new approach must be used, since all the easy ideas have been investigated and discarded. We need something truly fresh and original. And that leads us to perhaps the most controversial theory in physics, string theory, which might just be crazy enough to be the theory of everything.
Michio Kaku (The God Equation: The Quest for a Theory of Everything)