William of Occam

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Life Is Simple by Johnjoe McFadden

Albert Einstein, Albert Michelson, Alfred Russel Wallace, animal electricity, anthropic principle, Astronomia nova, Bayesian statistics, Brownian motion, Commentariolus, complexity theory, cosmic microwave background, cosmological constant, cosmological principle, COVID-19, dark matter, double helix, Edmond Halley, en.wikipedia.org, epigenetics, Ernest Rutherford, Fellow of the Royal Society, gentleman farmer, Gregor Mendel, Henri Poincaré, Higgs boson, horn antenna, invention of the printing press, Isaac Newton, James Watt: steam engine, Johann Wolfgang von Goethe, Johannes Kepler, lockdown, music of the spheres, On the Revolutions of the Heavenly Spheres, Plato's cave, retrograde motion, Richard Feynman, the scientific method, Thomas Bayes, Thomas Malthus, William of Occam

At the end of a long invective against ‘an ignorant man’ who has been rousing the ‘ignorant masses’ against the great philosophers of the past, the ghost of Occam is alerted to the approach of the day by the sounds of street vendors and the ‘venerable shadow disappeared into the air’. This wonderful story, uncovered only in 1983, demonstrates how, by 1380, William of Occam’s philosophy had seeped out of Oxford, Avignon, Paris and Munich, to infiltrate the fast-beating heart of the trecento. How and why Landini became familiar with William of Occam is not clear but there are a number of possible routes. The Tuscan poet Petrarch lived in Avignon while William of Occam was confronting the Pope in the city, and later travelled to Florence and was probably known to Landini. Despite his blindness, Landini also travelled widely and he may have come across Occam’s teachings through an influential textbook on nominalist logic entitled the Perutilis logica (Very Useful Logic) by one of Buridan’s Occamist students, Albert of Saxony, which had been widely copied and circulated among the major centres of learning in Europe including Prague, Paris, Oxford, Vienna, Bologna, Padua and Venice.

Escape from Avignon For against the errors of this pseudo-pope I have set my face like the hardest rock… William of Occam, 13296 Late in 1324, just around the time that William arrived in Avignon, his panicked order was gathered in the town of Perugia, not far from St Francis’s Assisi, for an emergency conclave to consider their response to the Pope’s broadside. The meeting concluded with the drafting of a letter affirming the principle of apostolic poverty. The order’s lawyer Bonagratia of Bergamo was charged with taking the letter to Avignon. After arriving in the papal city and delivering the letter he publicly criticised Pope John XXII. William of Occam surely witnessed this event.

Further detective work by Duhem and, later, by Ernest Moody (1903–75) followed the tracks of Leonardo’s scholarship across the Channel to the group of medieval English scholars known simply as ‘The Calculators’ as well as to a movement known as the via moderna that had been inspired by William of Occam.6 Rather like the rediscovery of Greek texts in the twelfth and thirteenth centuries, Duhem and his colleagues uncovered an entirely forgotten period of science and he concluded that: ‘In the mechanical work of Leonardo, there is no essential idea that does not come from the geometers of the Middle Ages.’7 The plague that had wiped out the practitioners of the via moderna clearly did not destroy their ideas. FIGURE 8: Dissemination of William of Occam’s ideas through Europe. There is no reason to believe that Leonardo had any special access to the ideas and philosophy of the via moderna in the fifteenth century so it is likely that thousands of other scholars were familiar with Occam’s razor and the science that it inspired.


pages: 356 words: 51,419

The Little Book of Common Sense Investing: The Only Way to Guarantee Your Fair Share of Stock Market Returns by John C. Bogle

asset allocation, backtesting, buy and hold, creative destruction, currency risk, diversification, diversified portfolio, financial intermediation, fixed income, index fund, invention of the wheel, Isaac Newton, John Bogle, junk bonds, low interest rates, new economy, passive investing, Paul Samuelson, random walk, risk tolerance, risk-adjusted returns, Sharpe ratio, stocks for the long run, survivorship bias, transaction costs, Upton Sinclair, Vanguard fund, William of Occam, yield management, zero-sum game

Simply by buying a portfolio that owns shares of every business in the United States and then holding it forever. This simple concept guarantees you will win the investment game played by most other investors who—as a group—are guaranteed to lose. Please don’t equate simplicity with stupidity. Way back in 1320, William of Occam nicely expressed the virtue of simplicity, essentially setting forth this precept: When there are multiple solutions to a problem, choose the simplest one.1 And so Occam’s razor came to represent a major principle of scientific inquiry. By far the simplest way to own all of U.S. businesses is to hold the total stock market portfolio or its equivalent.

See Chapter 9, “When the Good Times No Longer Roll.” The past record confirms that owning American business through a broadly diversified index fund is not only logical but, to say the least, incredibly productive. Equally important, it is consistent with the age-old principle of simplicity expressed by Sir William of Occam: Instead of joining the crowd of investors who dabble in complex algorithms or other machinations to pick stocks, or who look to past performance to select mutual funds, or who try to outguess the stock market (for investors in the aggregate, three inevitably fruitless tasks), choose the simplest of all solutions—buy and hold a diversified, low-cost portfolio that tracks the stock market.

Since 1976, the Vanguard index fund has produced a compound annual return of 12 percent, better than three-quarters of its peer group. Yet even 30 years on, ignorance and professional omerta still stand in the way of more investors enjoying the fruits of this unsung hero of the investment world.” Notes 1 William of Occam expressed it more elegantly: “Entities should not be multiplied unnecessarily.” But the point is unmistakable. 2 Until 1957, the S&P Index included just 90 companies. 3 Full disclosure: Vanguard created the first index mutual fund, tracking the Standard & Poor’s 500 Index, in 1975. The firm also created the first Total Stock Market Index Fund in 1992. 4 You should know that, in establishing a trust for his wife’s estate, Warren Buffett directed that 90 percent of its assets be invested in a low-cost S&P 500 Index fund. 5 This investor paid separately the taxes due on dividends and capital gains distributions. 6 The TSP also offers Roth contributions, which are treated similarly to Roth IRAs for tax purposes.


pages: 1,402 words: 369,528

A History of Western Philosophy by Aaron Finkel

British Empire, Eratosthenes, Georg Cantor, George Santayana, invention of agriculture, liberation theology, Mahatma Gandhi, Plato's cave, plutocrats, source of truth, Thales and the olive presses, Thales of Miletus, the market place, William of Occam

When the popes became politically subservient to France, the sovereigns hostile to the French king were necessarily hostile to the Pope. This led to the protection of William of Occam and Marsiglio of Padua by the Emperor; at a slightly later date, it led to the protection of Wycliffe by John of Gaunt. Bishops, in general, were by this time completely in subjection to the Pope; in an increasing proportion, they were actually appointed by him. The monastic orders and the Dominicans were equally obedient, but the Franciscans still had a certain spirit of independence. This led to their conflict with John XXII (1316-34), which we have already considered in connection with William of Occam. During this conflict, Marsiglio persuaded the Emperor to march on Rome, where the imperial crown was conferred on him by the populace, and a Franciscan antipope was elected after the populace had declared John XXII deposed.

They devoted themselves to reconciling Aristotle and Christ; Albertus Magnus and Thomas Aquinas, both Dominicans, accomplished this task as well as it is capable of being accomplished. The authority of Thomas Aquinas was so overwhelming that subsequent Dominicans did not achieve much in philosophy; though Francis, even more than Dominic, had disliked learning, the greatest names in the immediately following period are Franciscan: Roger Bacon, Duns Scotus, and William of Occam were all Franciscans. What the friars accomplished for philosophy will be the subject of the following chapters. CHAPTER XIII Saint Thomas Aquinas THOMAS AQUINAS (b. 1225 or 1226, d. 1274) is regarded as the greatest of scholastic philosophers. In all Catholic educational institutions that teach philosophy his system has to be taught as the only right one; this has been the rule since a rescript of 1879 by Leo XIII.

CHAPTER XIV Franciscan Schoolmen FRANCISCANS, on the whole, were less impeccably orthodox than Dominicans. Between the two orders there was keen rivalry, and the Franciscans were not inclined to accept the authority of Saint Thomas. The three most important of Franciscan philosophers were Roger Bacon, Duns Scotus, and William of Occam. Saint Bonaventura and Matthew of Aquasparta also call for notice. Roger Bacon (ca. 1214-ca. 1294) was not greatly admired in his own day, but in modern times has been praised far beyond his deserts. He was not so much a philosopher, in the narrow sense, as a man of universal learning with a passion for mathematics and science.


pages: 434 words: 135,226

The Music of the Primes by Marcus Du Sautoy

Ada Lovelace, Andrew Wiles, Arthur Eddington, Augustin-Louis Cauchy, Bletchley Park, Charles Babbage, computer age, Computing Machinery and Intelligence, Dava Sobel, Dmitri Mendeleev, Eddington experiment, Eratosthenes, Erdős number, Georg Cantor, German hyperinflation, global village, Henri Poincaré, Isaac Newton, Jacquard loom, lateral thinking, Leo Hollis, music of the spheres, Neal Stephenson, New Journalism, P = NP, Paul Erdős, Richard Feynman, Rubik’s Cube, Search for Extraterrestrial Intelligence, seminal paper, Simon Singh, Stephen Hawking, Turing machine, William of Occam, Wolfskehl Prize, Y2K

Indeed, as Bombieri elaborated, ‘When I was in the eleventh grade I studied several of the medieval philosophers. One of them, William of Occam, elevated the idea that when one must choose between two explanations, one should always choose the simpler. Occam’s razor as the principle is called cuts out the difficult and chooses the simple.’ For Bombieri, a zero off the line would be like an instrument in the orchestra ‘that drowns out the others – an aesthetically distasteful situation. As a follower of William of Occam, I reject that conclusion, and so I accept the truth of the Riemann Hypothesis.’ Things came to a head when Bombieri visited the Institute in Bonn, and discussion over tea turned to the Riemann Hypothesis.

and Ramanujan 134, 135, 137–41, 143 and the Riemann Hypothesis 150, 160 Lobachevsky, Nikolai Ivanovic 110 logarithms 46–9, 55, 62, 72, 74, 91, 104, 105, 168, 189, 206 Logue, Donal 240 Louis XV, King of France 41 Louis XVI, King of France 41 Lovelace, Ada 190 Lucas, Édouard 205, 206 Lucas-Lehmer numbers 206, 207 m-commerce 248 Manasse, Mark 239 mathematics: a creative art under constraints 34 irrespective of race 184, 199 plunged into crisis 156 pursuit of order 6 Matijasevich, Yuri 198–9, 201 Mendeleev, Dmitri 23, 32, 36–7 Mendelssohn, Felix 75 Mersenne, Marin 40, 41, 44, 93, 204–5 Mersenne primes 17, 206–9, 224, 236 Mertens Conjecture 219, 221–2 Miller-Rabin test 245 Millennium Problems and Prizes 14–16, 33, 242, 246, 250, 252 Miller, Gary 245 Miller, Victor 248 Minkowski, Hermann 108, 114, 116, 211 MISPAR (a computer language) 4 modular arithmetic 9 Monbeig, M. 290 Montgomery, Hugh 254, 255–64, 267, 269–72, 275, 278, 307, 312 Mordell, Louis 258 Motchane, Léon 299, 303 music 77–9, 84, 125 ‘music of the spheres’ 77 of the primes 93–7, 310, 311 Riemann’s 278–9 Nachlass 151–153, 286–287 Napier, Baron John 46 Napoleon Bonaparte 17, 53, 57, 59, 60, 64, 78, 94, 96, 265, 266, 289, 299, 311 Nasar, Sylvia 304 Nash, John Forbes 304 National Bureau of Standards’ Institute for Numerical Analysis 207 National Physics Laboratory, Teddington, Middlesex 191 National Security Agency (NSA) (US) 12, 249 NATO 302 negative numbers 67–8, 68 neutrons 265, 268 Nevanlinna, Rolf 294 Neville, E.H. 139, 140–41 Newman, Max 183, 184, 186, 187, 191, 204,207 Newton, Sir Isaac 119, 123, 269 Noether, Emmy 194 non-communicative space of Adele classes 307 Norwegian Mathematical Society 157 Nth Fermat number 39 nucleus 264–5 Occam’s razor 215 Odlyzko, Andrew 220, 221–2, 221, 253, 254, 270, 271, 272, 275–6, 278, 279, 280, 312 Oppenheimer, Robert 263 parallel lines 109–10 particle accelerators 270 particle physics 4 partition function 143 partition numbers 141–3, 142, 158 Periodic Table of chemical elements 23, 32, 36, 224, 264, 265, 268 Peter the Great 41 physics 74, 84 pi (film) 28 Piazzi, Giuseppe 19 planetary orbits 188 Poincaré, Henri 1, 6 Pomerance, Carl 238–9, 240, 245 Prime Number Conjecture (later Theorem) see under Gauss, Carl Friedrich prime numbers: apparent randomness 5, 6, 7, 9, 47 and cicadas 27–8 definition 5 Fermat’s Little Theorem see under Fermat, Pierre de and Germany’s educational revolution 60 hunting for 38–41 importance to mathematics 5 infinity of 36, 76, 81, 106–7, 163, 205, 310 largest known 204, 205, 207, 208, 209 list of 5–6, 5, 22, 23, 24, 37, 199 and logarithms 46–9, 55, 62, 72, 74, 104, 105, 168, 206 and longevity 311–12 masters of disguise 130 music of 93–7, 310, 311 Riemann’s formula for the number of 89, 90–91, 90 story of primes as a social mirror 34 tables of 47–8, 48, 205–6 an unanswered riddle 314 probability theory 165, 166, 272, 313 Problem of the Bridges of Königsberg 43, 44, 106 Project Orion 263 protons 265, 268 Proust, Marcel 255 Prussia 59 Pryce, Maurice 187 Ptolemy I 36 Putnam, Hilary 198 Pythagoras 67, 77, 78, 93 Pythagoras’ theorem 67 quadratic sieve 238–9, 240 quantum billiards 275–80, 277, 282, 288 quantum chaos 279, 280, 281, 283, 298, 307, 311 quantum mechanics 279 quantum physics 4, 117, 166, 263, 264, 266, 267, 269, 273, 276, 280, 284, 286, 296, 305, 306, 307,311, 313 Rabin, Michael 245 Rademacher, Hans 158 Ramanujan, Srinivasa 27, 132–47, 133, 157–8, 164, 245, 262, 294 Ramanujan’s Tau Conjecture 16, 146 Rameau, Jean-Philippe 77 real numbers 68, 68, 69, 85 Redford, Robert 240 Reid, Legh Wilber 102 Ribenboim, Paulo 245 Riemann, Bernhard (main references) 63, 286–7 creates the Hypothesis 9 and Dirichlet 168 education 61–5, 72–5, 84 formula for number of primes 89, 90–91, 90 geometry 74, 113, 289, 307 imaginary numbers 66, 84, 88, 251, 286, 287 influences 61–2, 63, 66, 75–6, 82, 132 mathematical looking-glass 9, 90, 99, 167, 168 notebook 153–4 order out of chaos 97–101 paper on prime numbers 82–3, 84, 96, 100, 103, 106, 149, 150, 153 perfectionism 61, 82, 101 rescued notes 101, 151 Siegel discovers his secret formula 152–3, 213 succeeds Dirichlet 83, 100 visits Italy 100–101 and zeta function 81–2, 84–7, 137 Riemann, Elise (née Koch) 100, 101, 151 Riemann Hypothesis 33, 166, 176 assumed to be true 130, 131, 143 Bombieri’s interest see under Bombieri Cohen and 202 and commercial interest 11, 12 Connes’ work 3, 4, 288–289, 305, 307–9 Hilbert and 1–2, 114, 115, 243 importance 138–9 Landau’s criticism 149–50 a Millennium Problem 14, 15, 309–10, 312 probabilistic interpretation of 167 proof issue 4, 5, 9–10, 11, 14, 17, 18, 114–15, 159–60, 171–5, 178, 181, 182, 183, 188, 192, 196, 204, 212–16, 218–19, 222, 243, 245, 279, 281, 287, 288, 290, 294,297, 298, 301–2, 304, 307–10, 312,313 published 83 Selberg on 159–60, 173–4 Stieltjes’ claim 103 Rivest, Ron 11, 227–31, 229, 233–6, 238, 239, 242, 244, 249–50 Robinson, Julia 193–9, 195, 201, 202, 204, 205 Robinson, Raphael 196, 197, 207 Rota, Gian-Carlo 172 Royal Society 145, 189, 190 Computing Laboratory 191 RSA 12, 230, 231, 232, 235–9, 241–4, 246–50, 252, 253 ECC Central 249, 250 RSA 129 challenge 236–7, 239 RSA 155 challenge 240 Russell, Bertrand 128, 136, 138, 144, 178 Sacks, Oliver 8, 9, 39 Sagan, Carl 1, 7–8, 9, 28, 271, 280 Sarnak, Peter 127, 224, 281–3, 287, 296, 298, 307, 308, 309 Saxena, Nitin 245 Scandinavian Congress of Mathematicians (Copenhagen, 1946) 159 Schmalfuss (director of the Gymnasium Johanneum) 60–61, 63 Schneier, Bruce 242 Schoenberg, I.J. 154 Schrödinger, Erwin 284 Schwartz, Laurent 172 Science Museum, London 189 Second World War 154, 155–6, 160, 174, 175, 190, 192, 225, 241, 263, 289, 293–4 Selberg, trace formula 17 Selberg, Atle 16, 156–60, 157, 162, 167–74, 176, 177, 212–13, 261, 262, 263, 285, 288, 294, 295, 301–2, 307–8, 311–12 Severi, Francesco 296 Shamir, Adi 11, 228–9, 229, 230, 236, 238, 249 Shimura, Goro 298 Siegel, Carl Ludwig 148–9, 151–4, 156,188,213,251,297 Siegel zero 17 sieve of Eratosthenes 17, 23, 24, 239 Silverman, Joseph 250, 252, 253 sine function 72 sine waves 95, 96, 188 Skewes, Stanley 129, 130 Skewes Number 129 Slowinski, David 207, 208 Snaith, Nina 284, 285 Sneakers (film) 240, 242 Snow, C.P. 136–7, 147 space, as curved and non-Euclidean 128 spectroscopy 88, 224 Stalin, Joseph 293 Standards Western Automatic Computer (SWAC) 207 Stark, Harold 220, 221 Stieltjes, Thomas 102–5 string theory 306 super-symmetric fermionic-bosonic systems 4 Survive 303 Swinnerton-Dyer, Sir Peter 127, 250–52 Tarski, Alfred 197 te Riele, Herman 217, 218, 222 Teichmüller, Oswald 155 Thomson, J.J. 128 tides 188–9 Titchmarsh, Ted 188, 190, 192 triangular numbers 24–5, 26, 26, 29, 32, 52 trivial zeros 98 Trinity College, Cambridge 122–4, 124, 127–8, 144 Truman, Harry 172 Turán, Paul 169, 170 Turing, Alan 175–7, 177, 227 artificial intelligence 176 at Bell Laboratory 219 and the Enigma code 175, 190–91, 205, 206 and Hardy 187, 188 death 192 homosexuality 192 and the Riemann Hypothesis 175, 188, 191, 212 Turing machines 182–93, 197, 198, 199, 202–3, 204, 207, 213, 215 twin autistic-savants 8–9, 39 Twin Primes Conjecture 39, 181, 257, 258 uranium 268 van de Lune, Jan 219 Vernon, Dai 271–2 Vijayaraghavan 293, 294, 296 Wagner, Richard 59 Waring’s Problem 116 wave equation 266 Weber, Heinrich 154 Weber, Wilhelm 73–4 Weil, André 31, 180, 288–300, 293, 302, 305, 306, 308 Weyl, Hermann 160, 171 Wigner, Eugene 268–9, 270 Wiles, Andrew 4–5, 12–17, 29, 34, 115, 118, 171, 248, 251, 252, 282, 298, 313 William of Occam 215 Wittgenstein, Ludwig 128 Wolfskehl, Paul 15, 118 Wolfskehl Prize 15, 136 Woltman, George 208 Zagier, Don 213–19,214, 217, 252, 278 Zeilberger, Doron 309 zeta function 76–82, 84–6, 86, 88, 89, 128, 137, 144, 153, 158, 167, 168, 190, 220, 251, 258, 273, 283, 295 P.S. Ideas, interviews & features … About the Author * * * Portrait of Marcus du Sautoy Snapshot Top Ten Favourite Books About the Book * * * A Critical Eye Jerzy Grotowski Read On * * * If You Loved This, You’ll Like … Find Out More Bookshop About the Author Portrait of Marcus du Sautoy By Josh Lacey WHEN I MEET Marcus du Sautoy I take along one of the books which he discusses in The Music of the Primes and recommends in his ‘top ten’.


The Knowledge Machine: How Irrationality Created Modern Science by Michael Strevens

Albert Einstein, Albert Michelson, anthropic principle, Arthur Eddington, Atul Gawande, coronavirus, COVID-19, dark matter, data science, Eddington experiment, Edmond Halley, Fellow of the Royal Society, fudge factor, germ theory of disease, Great Leap Forward, Gregor Mendel, heat death of the universe, Higgs boson, Intergovernmental Panel on Climate Change (IPCC), invention of movable type, invention of the telescope, Isaac Newton, Islamic Golden Age, Johannes Kepler, Large Hadron Collider, longitudinal study, Louis Pasteur, military-industrial complex, Murray Gell-Mann, Peace of Westphalia, Richard Feynman, Stephen Hawking, Steven Pinker, systematic bias, Thales of Miletus, the scientific method, Thomas Bayes, William of Occam

Montague has posited two kinds of things, heat itself and heat radiation, each popping up to do the job it is good for and then conveniently metamorphosing into the other when that’s what’s needed instead. At the very least, Montague seems to be violating the old methodological dictum “not to posit two entities when one will do”—usually, in honor of the medieval philosopher William of Occam, called “Occam’s razor.” It is hardly unreasonable for Capulet to threaten Montague with a close shave. This is one more example, then, of the essential subjectivity of scientific reasoning: the wisdom of Montague’s willingness to postulate radiation—a whole new way that heat might be shipped around the universe—depends on your perspective.

., 246 Wegener, Alfred, 54–58 Weinberg, Steven, 207–8, 256–58 Western Europe normalization of public/private divide, 251 religious freedom in, 245–46 as seat of Scientific Revolution, 242–52 Westfall, Richard, 48 Westphalia, Peace of, 246–47 Whewell, William career of, 174–75 and compartmentalization, 188 and fossil record, 175–77, 204–5 history of the sciences, 175–83 and iron rule, 191–92, 204–5 Whyte, William, 25–26 Wigner, Eugene, 227 Wilberforce, Bishop Samuel “Soapy Sam:, 76 Wilczek, Frank, 227, 265 William of Occam, 92 Willingham, Todd, 66–67 Wilson, E. O., 264, 265, 275 Woolgar, Steve, 60–61, 68 World, The (Descartes), 130–31 worldview interpretation and, 289 paradigm and, 25, 30 World War I (Great War), 14, 42, 156 Wright, Joseph, of Derby, 276–77 xi particles, 232, 234, 314n Zimring, James, 63 zoophytes, 218 Zuckerman, Solly, 21 ABOUT THE AUTHOR Michael Strevens is Professor of Philosophy at New York University, where since 2004 he has taught and thought about the nature of science, complex systems, the psychology of philosophy, the role of physical intuition in scientific discovery, and the nature of explanation and understanding, among other things.


pages: 397 words: 109,631

Mindware: Tools for Smart Thinking by Richard E. Nisbett

affirmative action, Albert Einstein, availability heuristic, behavioural economics, big-box store, Cass Sunstein, choice architecture, cognitive dissonance, confounding variable, correlation coefficient, correlation does not imply causation, cosmological constant, Daniel Kahneman / Amos Tversky, dark matter, do well by doing good, Edward Jenner, endowment effect, experimental subject, feminist movement, fixed income, fundamental attribution error, Garrett Hardin, glass ceiling, Henri Poincaré, if you see hoof prints, think horses—not zebras, Intergovernmental Panel on Climate Change (IPCC), Isaac Newton, job satisfaction, Kickstarter, lake wobegon effect, libertarian paternalism, longitudinal study, loss aversion, low skilled workers, Menlo Park, meta-analysis, Neil Armstrong, quantitative easing, Richard Thaler, Ronald Reagan, selection bias, Shai Danziger, Socratic dialogue, Steve Jobs, Steven Levy, tacit knowledge, the scientific method, The Wealth of Nations by Adam Smith, Thomas Kuhn: the structure of scientific revolutions, Tragedy of the Commons, William of Occam, Yitang Zhang, Zipcar

Stich and his colleagues have shown that intuitions about the nature of the world, what one can call knowledge, and what one regards as moral can be so diverse across cultures and from individual to individual that it often makes no sense to appeal to a chimera called “our intuitions.”1 15. KISS and Tell We consider it a good principle to explain the phenomena by the simplest hypothesis possible. —Claudius Ptolemy It is futile to do with more things that which can be done with fewer. —William of Occam To the same natural effects we must, so far as possible, assign the same causes. —Isaac Newton Whenever possible, substitute constructions out of known entities for inferences to unknown entities. —Bertrand Russell What counts as knowledge, and what qualifies as an explanation, are two of the main questions discussed in this book.

Smith, Adam social conflict social desirability bias social facilitation effect social psychology; context in; experiments in; founding of; fundamental attribution error in; microeconomics and; in political campaigns; reality in; social influence in Social Security Social Text Socrates Socratic dialogue Sokal, Alan South Carolina Soviet Union Speed (movie) Spender, Stephen Sperber, Dan spreading activation standard deviation (SD); for IQs; for observations Standard & Poor’s Stanford University; Graduate School of Business statistical dependence statistical heuristics statistical independence status quo stereotypes Stich, Stephen stimuli; incidental Stoic philosophers Stoler, Ann Structure of Scientific Revolutions, The (Kuhn) Subaru subliminal perception and persuasion Summers, Lawrence sunk costs Sunstein, Cass Sweden syllogisms Talmudic scholars Tanzania Tao Tennessee Texas text, reality as Thaler, Richard theology Thorndike, Edward Time magazine Towers of Hanoi problem Toyota tragedy of the commons training, transfer of traits; behaviors related to; correlations for; role-related “Transgressing the Boundaries” (Sokal) Triplett, Norman Turkish language Tversky, Amos Twain, Mark uncertainty unconscious mind; rational Unitarians United States; academic performance in; allergies in; autism diagnosis in; crime prevention programs in; death penalty in; dialectical thinking in; health issues in; history teachers in; homicide versus suicide deaths in; incarceration rate in; income ranges in; life insurance coverage in; manufacturing in; minority advancement in armed forces of; national election polls in; oil reserves of; per capita GDP in; pragmatism in; product choice in; Social Security program in; subjectivist view in; vaccination in; values and beliefs in vaccination validity; of arguments; reliability and value: expected; of human life; monetary, in cost-benefit analysis; sentimental; of sunk costs and opportunity costs Van Buren, Abigail (Dear Abby) variables; continuous; control; correlation of; economic; outcome; predictor; regression to the mean of; see also dependent variables; independent variables Varnum, Michael Venn, John Venn diagrams Vermont Volkswagen von Neuman, John Wall Street Journal, The Washington, University of Washington State Institute for Public Policy Western culture, difference between Eastern culture and, see cultural differences West Germany What Works Clearinghouse Whitehead, Alfred North William of Occam Wilson, Timothy within designs World Economic Forum Zajonc, Robert Zen Buddhism Zeno Zhang, Yitang Zipcars A NOTE ABOUT THE AUTHOR Richard E. Nisbett is Distinguished University Professor of Psychology at the University of Michigan and one of the world’s most respected psychologists.


pages: 339 words: 109,331

The Clash of the Cultures by John C. Bogle

Alan Greenspan, asset allocation, buy and hold, collateralized debt obligation, commoditize, compensation consultant, corporate governance, corporate social responsibility, Credit Default Swap, credit default swaps / collateralized debt obligations, diversification, diversified portfolio, estate planning, Eugene Fama: efficient market hypothesis, financial engineering, financial innovation, financial intermediation, fixed income, Flash crash, Glass-Steagall Act, Hyman Minsky, income inequality, index fund, interest rate swap, invention of the wheel, John Bogle, junk bonds, low interest rates, market bubble, market clearing, military-industrial complex, money market fund, mortgage debt, new economy, Occupy movement, passive investing, Paul Samuelson, Paul Volcker talking about ATMs, Ponzi scheme, post-work, principal–agent problem, profit motive, proprietary trading, prudent man rule, random walk, rent-seeking, risk tolerance, risk-adjusted returns, Robert Shiller, seminal paper, shareholder value, short selling, South Sea Bubble, statistical arbitrage, stock buybacks, survivorship bias, The Wealth of Nations by Adam Smith, transaction costs, two and twenty, Vanguard fund, William of Occam, zero-sum game

Malkiel also issued a challenge for someone to start “a mutual fund that simply buys the hundreds of stocks making up the market averages.” Alas, I didn’t read his book until the early 1980s. 2 My thinking has long been informed by a fifteenth-century maxim known as Occam’s Razor (after English philosopher Sir William of Occam): When there are multiple solutions to a problem, pick the simplest one. 3 That high cost was justified by a Wells Fargo spokesperson because “we (the manager) can make a lot of money. The fund is our cash cow.” 4 The typical investor owns about four equity mutual funds; the typical fund manager lasts for five years.

While Grinold and Kroner failed to mention my 1991 publication that introduced essentially the same methodology more than a decade earlier, Professor Javier Estrada of the IESE Business School was extremely gracious in this regard. In his article from the journal Corporate Finance Review, “Investing in the Twenty-First Century: With Occam’s Razor and Bogle’s Wit,” he concluded “Sir William of Occam taught us to focus on the essentials, and Bogle showed us how to apply that lesson to forecasting the long-term returns of stock markets.4 Taking a cue from both, I evaluate the forecasting ability of two simple models, and show that they are surprisingly successful.” Also generous in recognizing my methodology are Princeton professor Burton G.


pages: 467 words: 114,570

Pathfinders: The Golden Age of Arabic Science by Jim Al-Khalili

agricultural Revolution, Albert Einstein, Andrew Wiles, Book of Ingenious Devices, colonial rule, Commentariolus, Dmitri Mendeleev, Eratosthenes, Henri Poincaré, invention of the printing press, invention of the telescope, invention of the wheel, Isaac Newton, Islamic Golden Age, Johannes Kepler, Joseph Schumpeter, Kickstarter, Large Hadron Collider, liberation theology, retrograde motion, scientific worldview, Silicon Valley, Simon Singh, stem cell, Stephen Hawking, the scientific method, Thomas Malthus, time dilation, trade route, William of Occam

The light could come directly from the object if it is luminous, or be reflected from it if it is not. Thus, the rays from the eye are an unnecessary complication and should be dropped. In this way, he used a form of Occam’s Razor, the dictum that a phenomenon should be explained using as few assumptions as necessary, attributed to the fourteenth-century English philosopher William of Occam. But Ibn al-Haytham went further than philosophical arguments, for he did something quite astounding. He used Euclid’s geometrical model of the emission theory and applied it to the intromission theory. Now, it is rays emanating from the object that spread out radially in straight lines. In this way, he ‘mathematized’ his theory of vision.

It would be wrong to dismiss completely any form of original scientific scholarship in Europe during the Islamic golden age, for there are always isolated pockets of intellectual activity and excellence wherever and whenever one looks in world history. Two notable lights and original thinkers who shone in the medieval darkness were the Italian Thomas Aquinas (c. 1225–74), and the Englishman William of Occam (c. 1288–1347). However, there were very few other Christian scholars whose achievements could rival their Muslim counterparts until the end of the fifteenth century and the arrival of Renaissance geniuses such as Leonardo da Vinci. By that time, European universities would have contained the Latin translations of the works of all the giants of Islam, such as Ibn Sīna, Ibn al-Haytham, Ibn Rushd, al-Rāzi, al-Khwārizmi and many others.


pages: 158 words: 49,168

Infinite Ascent: A Short History of Mathematics by David Berlinski

Alan Turing: On Computable Numbers, with an Application to the Entscheidungsproblem, Albert Einstein, Andrew Wiles, Benoit Mandelbrot, Douglas Hofstadter, Eratosthenes, four colour theorem, Georg Cantor, Gödel, Escher, Bach, Henri Poincaré, Isaac Newton, John von Neumann, Murray Gell-Mann, Stephen Hawking, Turing machine, William of Occam

But the Romans possessed no mathematical gift whatsoever, their incompetence as striking as it would have been had classical Greek culture given out directly to modern-day Rwanda or the Sudan. Mathematical curiosity died in the Roman Empire and it stayed dead in the Christian West for more than one thousand years. There were great theologians and philosophers, to be sure: the Church fathers, the Venerable Bede, Anselm, Abélard, Albertus Magnus, Thomas Aquinas, Duns Scotus, William of Occam; but no one on fire with the Pythagorean rapture, only men prepared indifferently to sift its ashes. In the great Moslem Empire that from the eighth century AD to the middle of the thirteenth century stretched from Spain in the west to the borders of India in the east, things were otherwise.


pages: 236 words: 50,763

The Golden Ticket: P, NP, and the Search for the Impossible by Lance Fortnow

Alan Turing: On Computable Numbers, with an Application to the Entscheidungsproblem, Albert Einstein, Andrew Wiles, Claude Shannon: information theory, cloud computing, complexity theory, Donald Knuth, Erdős number, four colour theorem, Gerolamo Cardano, Isaac Newton, James Webb Space Telescope, Johannes Kepler, John von Neumann, Large Hadron Collider, linear programming, new economy, NP-complete, Occam's razor, P = NP, Paul Erdős, quantum cryptography, quantum entanglement, Richard Feynman, Rubik’s Cube, seminal paper, smart grid, Stephen Hawking, traveling salesman, Turing machine, Turing test, Watson beat the top human players on Jeopardy!, William of Occam

Combined DNA Index System (CODIS), 25–26 Vardi, Moshe, x vertex cover problem (very cozy group): approximating, 101–4, 102, 103; hardness of, 97, 97–99, 98 video games, automated creation of, 25 voice recognition, 23 Wallach, Eli, and Kevin Bacon, 31–32 Watson (computer), 156–57 weather prediction, 16 Wiles, Andrew, 7, 110 William of Occam, 19–20 Williamson, David, 45 wire, electric charge carried by, 113–14 workers, effect of P = NP on, 27 World War II, 125–26 Xbox, 25 Yablonsky, Sergey, 78, 79–80 zero-knowledge proofs, 131; for Sudoku, 130–36


pages: 467 words: 154,960

Trend Following: How Great Traders Make Millions in Up or Down Markets by Michael W. Covel

Albert Einstein, Alvin Toffler, Atul Gawande, backtesting, Bear Stearns, beat the dealer, Bernie Madoff, Black Swan, buy and hold, buy low sell high, California energy crisis, capital asset pricing model, Carl Icahn, Clayton Christensen, commodity trading advisor, computerized trading, correlation coefficient, Daniel Kahneman / Amos Tversky, delayed gratification, deliberate practice, diversification, diversified portfolio, Edward Thorp, Elliott wave, Emanuel Derman, Eugene Fama: efficient market hypothesis, Everything should be made as simple as possible, fiat currency, fixed income, Future Shock, game design, global macro, hindsight bias, housing crisis, index fund, Isaac Newton, Jim Simons, John Bogle, John Meriwether, John Nash: game theory, linear programming, Long Term Capital Management, managed futures, mandelbrot fractal, margin call, market bubble, market fundamentalism, market microstructure, Market Wizards by Jack D. Schwager, mental accounting, money market fund, Myron Scholes, Nash equilibrium, new economy, Nick Leeson, Ponzi scheme, prediction markets, random walk, Reminiscences of a Stock Operator, Renaissance Technologies, Richard Feynman, risk tolerance, risk-adjusted returns, risk/return, Robert Shiller, shareholder value, Sharpe ratio, short selling, South Sea Bubble, Stephen Hawking, survivorship bias, systematic trading, Teledyne, the scientific method, Thomas L Friedman, too big to fail, transaction costs, upwardly mobile, value at risk, Vanguard fund, William of Occam, zero-sum game

Yet, even when all unfit hypotheses are thrown out, several might remain, in some cases reaching the same end, but having different underlying assumptions. To choose among similar theories, scientists use Occam’s razor. Occam’s razor is a principle attributed to logician and Franciscan friar William of Occam. The principle states that entities must not be multiplied unnecessarily. In its original Latin form, Occam’s razor is “Pluralitas non est ponenda sine neccesitate.” This underlies all scientific modeling and theory building. A common interpretation of the principle is that the simplest of two or more competing theories is preferable.7 Occam’s razor does not guarantee that the simplest solution will be correct, but it does focus priorities. 213 We could still imagine that there is a set of laws that determines events completely for some supernatural being who could observe the present state of the universe without disturbing it.

., 40, 66, 243, 272 volatility, 99-105 measuring, 180 risk versus, 104 upside volatility, 102-105 Voltaire, xvii von Metternich, Klemens, 270 von Mises, Ludwig, xviii, 3, 97, 99, 202, 264 Wachtel, Larry, 235 Waksman, Sol, 253 Watts, Dickson, 92 Weaver, Earl, 182 web sites, 397 Weill, Sandy, 156 Weintraub, Neal T., 233 Wells, Herbert George (H.G.), 225 Welton, Patrick, 15 what to trade, 254-256 when to buy/sell, 259-262 whipsaws, 263 Wigdor, Paul, 126 Wilcox, Cole, 268, 307 William of Occam, 213 Williams, Ted, 261 winners Long-Term Capital Management (LTCM) collapse, 156-164 losers versus, 123-125 “The Winners and Losers of the Zero-Sum Game: The Origins of Trading Profits, Price Efficiency and Market Liquidity” (white paper) (Harris), 115 winning investment philosophies, 4-6 winning positions, when to exit, 263-265 Winton Capital Management, 29, 372-373 Winton Futures Fund, 230 “The Winton Papers” (Harding), 31 Wittgenstein, Ludwig, 395 Womack, Kent, 241 The World is Flat (Friedman), 143 WorldCom, 241 Wright, Charlie, 244 Yahoo!


pages: 836 words: 158,284

The 4-Hour Body: An Uncommon Guide to Rapid Fat-Loss, Incredible Sex, and Becoming Superhuman by Timothy Ferriss

23andMe, airport security, Albert Einstein, Black Swan, Buckminster Fuller, caloric restriction, caloric restriction, carbon footprint, cognitive dissonance, Columbine, confounding variable, correlation does not imply causation, Dean Kamen, game design, Gary Taubes, Gregor Mendel, index card, Kevin Kelly, knowledge economy, language acquisition, life extension, lifelogging, Mahatma Gandhi, messenger bag, microbiome, microdosing, p-value, Paradox of Choice, Parkinson's law, Paul Buchheit, placebo effect, Productivity paradox, publish or perish, radical life extension, Ralph Waldo Emerson, Ray Kurzweil, Recombinant DNA, Richard Feynman, selective serotonin reuptake inhibitor (SSRI), Silicon Valley, Silicon Valley startup, Skype, stem cell, Steve Jobs, sugar pill, survivorship bias, TED Talk, The future is already here, The Theory of the Leisure Class by Thorstein Veblen, Thorstein Veblen, Vilfredo Pareto, wage slave, William of Occam

Even with chicken breasts, poor Casey would have also gained an unfortunate 189 pounds of fat at the same time, according to the same math, leaving him looking like Cartman on “Weight Gain 4000.” 15. 1.7 g/kg * 56.7 kg * 80%. OCCAM’S PROTOCOL I A Minimalist Approach to Mass It is vain to do with more what can be done with less. —William of Occam (c. 1288–1348), “Occam’s Razor” 100 FEET OFFSHORE, MALIBU, CALIFORNIA I was sitting on my surfboard 20 feet to the side of Neil Strauss, bestselling author of The Game. The afternoon sun was shimmering off the rolling sets of blue water, and he was catching wave after wave. Me, not so much.

., 14.1, 17.1 sucrose sugar substitutes, 8.1, 9.1 Sulis, Talulah, 19.1, 19.2, 19.3, 19.4 sun, exposure to Superhuman, Effortless superoxide dismutase (SOD) supine groin progressive, 25.1, 25.2, 25.3 supplements author’s regimen and insulin sensitivity in strength training for vegetarians, 47.1, 48.1 Swaraj Sweet Potatoes (recipe) swimming author’s tips breathing gear getting started stroke length Total Immersion, 34.1, 34.2 Szent-Gyorgyi, Albert T TA-65 (telomerase activator) Tabata protocol, 30.1, 31.1 Takeuchi, Shinji, 34.1, 34.2 Taleb, Nassim, 43.1, 43.2 Tapalla, Rudy Tarahumara Indians Tate, Dave, 30.1, 33.1 Taubes, Gary Taylor, Jeff tea, 9.1, 9.2, 10.1, 10.2 TEF (thermal effect of food) telomerase activators Tempeh Tacos (recipe) tensegrity testing, 40.1, 48.1 BioPhysical BodPod Cardio Lipid Panel Comprehensive Blood Panel DEXA for fertility Food Allergies Genetic Insights Inflammatory Markers insurance coverage, 40.1, 48.1 Liver Enzymes repeating SpectraCell Stool Analysis timing of Urine Toxic Metals ZRT at-home Vitamin D kits testosterone: and cell phones exogenous levels of, 21.1, 46.1 and nuts and pheromones production of Protocol #1 for Protocol #2 for and SHBG and steroids and women testosterone enanthate tetracycline T-handle theobromine theophylline thermodynamics thermogenics, 8.1, 46.1 Thomas, Kurt Thompson, Clive three-cone drill Thun, Michael thyme TI (Total Immersion), 34.1, 34.2 TI (total inches), 5.1, 6.1 tibialis anterior time under tension (TUT) tomatoes Torine, Jon, 27.1, 27.2 Torres, Dara Total Immersion (TI), 34.1, 34.2 total inches (TI), 5.1, 6.1 transfer Traumeel travel, and diet, 8.1, 47.1 Trevor triglycerides Tsatsouline, Pavel, 32.1, 32.2 tuna TUT (time under tension) Twain, Mark Tyler, Alison U ultrasound, 5.1, 5.2 Uno, Caol urine testing UV exposure V Valsalva Technique vampire myth Vanilla Walnut Protein Cookies (recipe) Van Voorhies, Wayne Veblen, Thorstein, 42.1 vegetables, 7.1, 8.1, 8.2 vegetarians: lacto-ovo mistakes of plant-based diet, 47.1, 48.1 and protein, 8.1, 47.1, 48.1 questions and concerns supplements for, 47.1, 48.1 and travel use of term Vergel, Nelson Vesper, scratches from vests, weighted Vetterlein, Ray Viator, Casey, 2.1, 16.1 vibrators vinegar vitamin A, 46.1, 46.2, 46.3 vitamin C vitamin D, 21.1, 46.1, 46.2 vitamin E vitamin K(2) vitamins, fat-soluble W waist-to-hip ratio (WHR) WakeMate walking, timed wall presses, 9.1, 9.2, 9.3 WAT (white adipose tissue) water: drinking gulping retention of thermal load of water weight Wegener, Alfred weight: fluctuations in gain (recipe) metric conversion Wells, H. G. West, Mae WHI (Women’s Health Initiative) WHR (waist-to-hip ratio) Wie, Michelle, 27.1, 27.2 Wilde, Oscar William of Occam Williams, Ted, 35.1, 37.1 Wilson, Clyde wine, 7.1, 8.1 and sleep Wired WOE (ways of eating) Wolfer, Lee, 1.1, 25.1, 25.2 women: fertility tests and menstruation, 8.1, 8.2, 21.1 orgasms of and testosterone Women’s Health Initiative (WHI) Wooden, John Y Yates, Dorian, 17.1, 17.2, 33.1 yerba mate tea yogurt yo-yo dieting Z Zaru, Nathan zdeel Zeiger, Roni Zeisel, Steven Zeo, 23.1, 23.2 Zepeda, Lydia Zobrist, Ben, 35.1, 35.2 ZRT at-home Vitamin D kits ABOUT THE AUTHOR TIMOTHY FERRISS, nominated as one of Fast Company’s “Most Innovative Business People of 2007,” is the author of the #1 New York Times, Wall Street Journal, and BusinessWeek bestseller The 4-Hour Workweek, which has been published in 35 languages.


pages: 224 words: 48,804

The Productive Programmer by Neal Ford

anti-pattern, business process, c2.com, continuous integration, database schema, domain-specific language, don't repeat yourself, Firefox, general-purpose programming language, knowledge worker, Larry Wall, Paradox of Choice, Ruby on Rails, side project, type inference, web application, William of Occam

For example, you may think you need a data warehouse, but the amount of complexity it adds to the overall problem isn’t worth the benefits it might provide. You can never kill all accidental complexity with software, but you can continually try to minimize it. NOTE Maximize work on essential complexity; kill accidental complexity. Occam’s Razor Sir William of Occam was a monk who disdained ornate, elaborate explanations. His contribution to philosophy and science is known as Occam’s Razor, which says that given multiple explanations for something, the simplest is the most likely. Obviously, this ties in nicely with our discussion of essential versus accidental complexity.


Economic Origins of Dictatorship and Democracy by Daron Acemoğlu, James A. Robinson

Andrei Shleifer, British Empire, business cycle, colonial rule, conceptual framework, constrained optimization, Corn Laws, declining real wages, Edward Glaeser, European colonialism, Gunnar Myrdal, income inequality, income per capita, invisible hand, Jean Tirole, John Markoff, Kenneth Rogoff, land reform, minimum wage unemployment, Nash equilibrium, Nelson Mandela, oil shock, open economy, Pareto efficiency, rent-seeking, seminal paper, strikebreaker, total factor productivity, transaction costs, Washington Consensus, William of Occam, women in the workforce

Democracy versus Nondemocracy At the outset, we have to be clear about the precise questions that we tackle and the basic building blocks of our approach. In building models of social phenomena, an often-useful principle is the so-called Occam’s razor. The principal, popularized by the fourteenth-century English philosopher William of Occam, is that one should not increase the number of entities required to explain a given phenomenon beyond what is necessary. In other words, one should strive for a high degree of parsimony in formulating answers to complex questions. Given the complexity of the issues with which we are dealing, we frequently make use of this principle in this book not only to simplify the answers to complex questions but, perhaps even more daringly, to also simplify the questions.

See also probabilistic voting exclusions from, 174 Germany’s system of, 67 Latin America, 28 majority, 205 PAP’s influence on, 9 political parties chosen via, 89 preferences, 90 restrictions on, 119, 267 swing voters and probabilistic, 363–367 War of Independence, 69 wealth democracy and, 55 democratic consolidation and, 33, 36 democratization and, 32, 35–37 middle class and, 266 Weimar Republic, 67, 70 welfare elites and Germany and, 200 white(s) ANC’s guarantees for, 210 elites, 13, 15 suffrage of, 4 William of Occam, 16 winners/losers, 91 policies of, 20 Witte, Sergei, 141 workhorse models, 99–113 World Bank, 192 World Politics, 81 World War I, 324 Germany after, 180 globalization in pre-, 41 Sweden and, 68 World War II, 8, 11, 324 Yrigoyen, Hipólito, 5, 352 deposition of, 6 election of, 6 Zaire, 41 ZANU.


pages: 262 words: 80,257

The Eureka Factor by John Kounios

active measures, Albert Einstein, Bluma Zeigarnik, call centre, Captain Sullenberger Hudson, classic study, deliberate practice, en.wikipedia.org, Everything should be made as simple as possible, Flynn Effect, functional fixedness, Google Hangouts, impulse control, invention of the telephone, invention of the telescope, Isaac Newton, Louis Pasteur, meta-analysis, Necker cube, pattern recognition, Silicon Valley, Skype, Steve Jobs, tacit knowledge, theory of mind, US Airways Flight 1549, Wall-E, William of Occam

This knowledge will help you to chart a reliable path to enhanced creativity. The second reason is more theoretical. Science aims for parsimony—never settle for a complicated explanation when a simple one will do the job. This is known as “Occam’s razor,” named after the fourteenth-century English scholar William of Occam. During the 1970s and ’80s, psychologists started to amass substantial evidence for the existence of gradually changing, or “continuous,” thought processes, but little support for truly sudden or “discrete” ones. In the interest of parsimony, some researchers questioned whether sudden cognitive processes exist.


Data Mining the Web: Uncovering Patterns in Web Content, Structure, and Usage by Zdravko Markov, Daniel T. Larose

Firefox, information retrieval, Internet Archive, iterative process, natural language processing, pattern recognition, random walk, recommendation engine, semantic web, sparse data, speech recognition, statistical model, William of Occam

Minimum Description Length Principle After all these considerations a natural question comes in mind: Is there any connection between the simplicity of the hypothesis and the quality of the clustering it describes? Interestingly, there is a natural answer to this question, known as Occam’s razor. In the fourteenth century William of Occam formulated a very general principle stating that “Entities are not to be multiplied beyond necessity.” In other words, among several alternatives, the simplest is usually the best choice. Occam’s razor has proven its validity in many areas; however, its application to formal decision making such as clustering and classification requires a formal definition of simplicity.


pages: 426 words: 105,423

The 4-Hour Workweek: Escape 9-5, Live Anywhere, and Join the New Rich by Timothy Ferriss

Abraham Maslow, Albert Einstein, Amazon Mechanical Turk, Apollo 13, call centre, clean water, digital nomad, Donald Trump, drop ship, en.wikipedia.org, Firefox, fixed income, follow your passion, Ford Model T, fulfillment center, game design, global village, Iridium satellite, knowledge worker, language acquisition, late fees, lateral thinking, Maui Hawaii, oil shock, paper trading, Paradox of Choice, Parkinson's law, passive income, peer-to-peer, pre–internet, Ralph Waldo Emerson, remote working, risk tolerance, Ronald Reagan, side project, Silicon Valley, Silicon Valley startup, Skype, Steve Jobs, Vilfredo Pareto, wage slave, William of Occam

—BRUCE LEE The End of Time Management ILLUSIONS AND ITALIANS Perfection is not when there is no more to add, but no more to take away. —ANTOINE DE SAINT-EXUPÉRY, pioneer of international postal flight and author of Le Petit Prince (The Little Prince) It is vain to do with more what can be done with less. —WILLIAM OF OCCAM (1300–1350), originator of “Occam’s Razor” Just a few words on time management: Forget all about it. In the strictest sense, you shouldn’t be trying to do more in each day, trying to fill every second with a work fidget of some type. It took me a long time to figure this out. I used to be very fond of the results-by-volume approach.


pages: 412 words: 122,952

Day We Found the Universe by Marcia Bartusiak

Albert Einstein, Albert Michelson, Arthur Eddington, California gold rush, Cepheid variable, Copley Medal, cosmic microwave background, cosmological constant, Eddington experiment, Edmond Halley, Edward Charles Pickering, Fellow of the Royal Society, fudge factor, Harlow Shapley and Heber Curtis, Harvard Computers: women astronomers, horn antenna, invention of the telescope, Isaac Newton, Louis Pasteur, Magellanic Cloud, Occam's razor, orbital mechanics / astrodynamics, Pluto: dwarf planet, William of Occam

But Curtis was championing this idea too early, before the physics could explain it. Many of his fellow astronomers were still fairly skeptical, unwilling to conjure up new celestial creatures willy-nilly. For them “Occam's Razor” prevailed, the long-standing rule of thumb established by the English philosopher William of Occam in the fourteenth century. “Pluralitas non est ponenda sine necessitate,” declared Occam, which can be translated as “plurality must not be posited without necessity.” Best to choose the simplest interpretation over an unnecessarily complex one—unless forced to do otherwise. One type of nova was far more preferable than two.


Sorting Things Out: Classification and Its Consequences (Inside Technology) by Geoffrey C. Bowker

affirmative action, business process, classic study, corporate governance, Drosophila, government statistician, information retrieval, loose coupling, Menlo Park, Mitch Kapor, natural language processing, Occam's razor, QWERTY keyboard, Scientific racism, scientific worldview, sexual politics, statistical model, Stephen Hawking, Stewart Brand, tacit knowledge, the built environment, the medium is the message, the strength of weak ties, transaction costs, William of Occam

DRGs are used for medical accounting and rely on rearrangements of medical classifications and procedures. 2 2 . This is essentially the same as what organizational theorists call the gar­ bage can approach to decision making. Since the garbage category has a specific meaning here, we have maintained that terminology. 2 3 . The original scientific aphorism, attributed to the medieval philosopher William of Occam, was "thou shalt not multiply entities without necessity. " It is often interpreted as a value of parsimony in scientific explanation; equally, here, it applies to the design of forms! 24. AIDS presents a similar challenge as a condition, not per se a disease, and equally protean in expression. 2 5 .


pages: 492 words: 149,259

Big Bang by Simon Singh

Albert Einstein, Albert Michelson, All science is either physics or stamp collecting, Andrew Wiles, anthropic principle, Arthur Eddington, Astronomia nova, Bletchley Park, Boeing 747, Brownian motion, carbon-based life, Cepheid variable, Chance favours the prepared mind, Charles Babbage, Commentariolus, Copley Medal, cosmic abundance, cosmic microwave background, cosmological constant, cosmological principle, dark matter, Dava Sobel, Defenestration of Prague, discovery of penicillin, Dmitri Mendeleev, Eddington experiment, Edmond Halley, Edward Charles Pickering, Eratosthenes, Ernest Rutherford, Erwin Freundlich, Fellow of the Royal Society, Ford Model T, fudge factor, Hans Lippershey, Harlow Shapley and Heber Curtis, Harvard Computers: women astronomers, heat death of the universe, Henri Poincaré, horn antenna, if you see hoof prints, think horses—not zebras, Index librorum prohibitorum, information security, invention of the telescope, Isaac Newton, Johannes Kepler, John von Neumann, Karl Jansky, Kickstarter, Louis Daguerre, Louis Pasteur, luminiferous ether, Magellanic Cloud, Murray Gell-Mann, music of the spheres, Olbers’ paradox, On the Revolutions of the Heavenly Spheres, Paul Erdős, retrograde motion, Richard Feynman, scientific mainstream, Simon Singh, Stephen Hawking, Strategic Defense Initiative, the scientific method, Thomas Kuhn: the structure of scientific revolutions, time dilation, unbiased observer, Wilhelm Olbers, William of Occam

Although Copernicus did toy with epicycles, his model essentially employed a simple circular orbit for each planet, whereas Ptolemy’s model was inordinately complex, with its finely tuned epicycles, deferents, equants and eccentrics for each and every planet. Fortunately for Copernicus, simplicity is a prized asset in science, as had been pointed out by William of Occam, a fourteenth-century English Franciscan theologian who became famous during his lifetime for arguing that religious orders should not own property or wealth. He propounded his views with such fervour that he was run out of Oxford University and had to move to Avignon in the south of France, from where he accused Pope John XII of heresy.


pages: 551 words: 174,280

The Beginning of Infinity: Explanations That Transform the World by David Deutsch

agricultural Revolution, Albert Michelson, anthropic principle, Apollo 13, artificial general intelligence, Bonfire of the Vanities, Charles Babbage, Computing Machinery and Intelligence, conceptual framework, cosmological principle, dark matter, David Attenborough, discovery of DNA, Douglas Hofstadter, Easter island, Eratosthenes, Ernest Rutherford, first-past-the-post, Georg Cantor, global pandemic, Gödel, Escher, Bach, illegal immigration, invention of movable type, Isaac Newton, Islamic Golden Age, Jacquard loom, Johannes Kepler, John Conway, John von Neumann, Joseph-Marie Jacquard, Kenneth Arrow, Loebner Prize, Louis Pasteur, mirror neurons, Nick Bostrom, pattern recognition, Pierre-Simon Laplace, precautionary principle, Richard Feynman, Search for Extraterrestrial Intelligence, seminal paper, Stephen Hawking, supervolcano, technological singularity, Thales of Miletus, The Coming Technological Singularity, the scientific method, Thomas Malthus, Thorstein Veblen, Turing test, Vernor Vinge, Whole Earth Review, William of Occam, zero-sum game

Good explanations are often strikingly simple or elegant – as I shall discuss in Chapter 14. Also, a common way in which an explanation can be bad is by containing superfluous features or arbitrariness, and sometimes removing those yields a good explanation. This has given rise to a misconception known as ‘Occam’s razor’ (named after the fourteenth-century philosopher William of Occam, but dating back to antiquity), namely that one should always seek the ‘simplest explanation’. One statement of it is ‘Do not multiply assumptions beyond necessity.’ However, there are plenty of very simple explanations that are nevertheless easily variable (such as ‘Demeter did it’). And, while assumptions ‘beyond necessity’ make a theory bad by definition, there have been many mistaken ideas of what is ‘necessary’ in a theory.


pages: 742 words: 202,902

The Brilliant Disaster: JFK, Castro, and America's Doomed Invasion of Cuba's Bay of Pigs by Jim Rasenberger

affirmative action, anti-communist, Berlin Wall, cuban missile crisis, desegregation, Gunnar Myrdal, Kitchen Debate, land reform, Neil Armstrong, Seymour Hersh, Ted Sorensen, Torches of Freedom, William of Occam

What about all the other memos and papers produced by the CIA before and after that assumed and asserted the invasion plan could succeed without overt help from the marines? Don’t they need to be weighed, too? And does it make sense that the CIA, an agency known to jealously guard its turf, seriously intended to hand over the reins of an operation to the Pentagon? What would the fourteenth-century logician William of Occam have to say about this? Occam’s time-tested rule of thumb—popularly known as Occam’s Razor—is that the simplest explanation is usually the best explanation. Applying Occam’s Razor to Drain’s memo, the most obvious interpretation is that its author was not suggesting the CIA would have to “send in the marines” when he referred to a joint agency/DOD action, but rather restating a long-established and widely shared opinion that the CIA needed personnel and logistical support from the Pentagon if the “strike force” operation was to succeed—the sort of “limited additional help from DOD” that Jacob Esterline, Drain’s superior, called for in a report he filed later that fall.