Theorem Quotes

Authors: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Categories: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
the-elegance-mathematical-theorem-is-directly-proportional-to-number-independent-ideas-one-can-see-in-theorem-inversely-proportional-to-effort-it-takes-to-see-them-george-polya
the-three-discrete-invariances-reflection-invariance-charge-conjugation-invariance-time-reversal-invariance-are-connected-by-important-theorem-called-cpt-theorem
any-good-theorem-should-have-several-proofs-more-better-michael-atiyah
you-wouldnt-think-there-was-need-for-coase-theorem-really
our-offense-is-like-pythagorean-theorem-there-is-no-answer
it-gives-me-same-pleasure-when-someone-else-proves-good-theorem-as-when-i-do-it-myself-edmund-landau
i-want-to-drink-knowledge-pythagoruss-theorem-truth-devour
im-no-enthusiast-for-coase-theorem-i-dont-like-it-but-its-widely-used
the-greatest-unsolved-theorem-in-mathematics-is-why-some-people-are-better-at-it-than-others
i-realized-that-anything-to-do-with-fermats-last-theorem-generates-too-much-interest
what-philosophy-worthy-name-has-truly-been-able-to-avoid-link-between-poem-theorem-michel-serres
a-theorem-is-proposition-which-is-strict-logical-consequence-certain-definitions-other-propositions-anatol-rapoport
heaven-is-angered-by-my-arrogance-my-proof-fourcolor-theorem-is-also-defective-hermann-minkowski
the-axiom-conditioned-repetition-like-binomial-theorem-is-nothing-but-piece-insolence-edward-abbey
the-limbaugh-theorem-was-not-about-me-giving-me-credit-for-something-it-was-simply-sharing-with-you-when-light-went-off-rush-limbaugh
a-felicitous-but-unproved-conjecture-may-be-much-more-consequence-for-mathematics-than-proof-many-respectable-theorem-atle-selberg
no-matter-how-correct-mathematical-theorem-may-appear-to-be-one-ought-never-to-be-satisfied-that-there-was-not-something-imperfect-about-it-until-it-george-boole
the-analysis-variance-is-not-mathematical-theorem-but-rather-convenient-method-arranging-arithmetic-ronald-fisher
under-bayes-theorem-no-theory-is-perfect-rather-it-is-work-in-progress-always-subject-to-further-refinement-testing-nate-silver
to-insure-the-adoration-of-a-theorem-for-any-length-of-time-faith-is-not-enough-a-police-force-is-needed-as-well
share-prices-follow-theorem-hope-divided-by-fear-minus-greed-dominic-lawson
and-i-believe-that-binomial-theorem-bach-fugue-are-in-long-run-more-important-than-all-battles-history-james-hilton
the-mean-value-theorem-is-midwife-calculus-not-important-glamorous-by-itself-but-often-helping-to-deliver-other-theorems-that-are-major-edward-mills-purcell
in-many-cases-dull-proof-can-be-supplemented-by-geometric-analogue-simple-beautiful-that-truth-theorem-is-almost-seen-at-glance-martin-gardner
i-tend-to-regard-coase-theorem-as-stepping-stone-on-way-to-analysis-economy-with-positive-transaction-costs
but-my-shift-to-serious-study-economics-gradually-weakened-my-belief-in-major-douglass-ab-theorem-which-was-replaced-in-my-thought-by-expression-mv-james-meade
the-world-is-anxious-to-admire-that-apex-culmination-modern-mathematics-theorem-perfectly-general-that-no-particular-application-it-is-feasible-george-polya
before-beginning-to-try-to-prove-fermats-last-theorem-i-should-have-to-put-in-three-years-intensive-study-i-havent-that-much-time-to-squander-on-david-hilbert
geometry-has-two-great-treasures-one-is-theorem-pythagoras-other-division-line-into-extreme-mean-ratio-the-first-we-may-compare-to-measure-gold-second-we-may-name-precious-jewel-
the-missing-piece-in-his-stomach-hurt-much-eventually-he-stopped-thinking-about-theorem-wondered-only-how-something-that-isnt-there-can-hurt-you-john-green
the-primes-are-raw-material-out-which-we-have-to-build-arithmetic-euclids-theorem-assures-us-that-we-have-plenty-material-for-task-g-h-hardy
the-seriousness-mathematical-theorem-lies-not-in-its-practical-consequences-which-are-usually-negligible-but-in-significance-mathematical-ideas-g-h-hardy
the-proof-fermats-last-theorem-underscores-how-stable-mathematics-is-through-centuries-how-mathematics-is-one-humanitys-long-continuous-barry-mazur
a-proven-theorem-game-theory-states-that-every-game-with-complete-information-possesses-saddle-point-therefore-solution-richard-arnold-epstein
poetry-is-theorem-yellowsilk-handkerchief-knotted-with-riddles-sealed-in-balloon-tied-to-tail-kite-flying-in-white-wind-against-blue-sky-in-carl-sandburg
words-are-children-reason-therefore-cant-explain-it-they-really-cant-translate-feeling-because-theyre-not-part-it-thats-why-it-bugs-me-when-people-try-to-analyze-jazz-as-intellec
in-science-progress-is-possible-in-fact-if-one-believes-in-bayes-theorem-scientific-progress-is-inevitable-as-predictions-are-made-as-beliefs-are-tested-refined-nate-silver
a-fairy-must-make-her-own-way-in-world-for-world-will-never-make-way-for-her-that-incidentally-is-first-theorem-questing-physicks-which-youll-learn-all-about-when-youre-older-don
i-think-i-have-met-nearly-all-laureates-in-economics-among-few-i-havent-met-i-suppose-id-most-like-to-meet-ronald-coase-because-his-legendary-power-to-persuade-his-colleagues-val
we-may-consequently-state-fundamental-theorem-natural-selection-in-form-the-rate-increase-in-fitness-any-organism-at-any-time-is-equal-to-its-ronald-fisher
theorem-incompleteness-shows-there-is-nothing-on-this-level-existence-that-can-fully-explain-this-level-existence-pat-cadigan
It will be noticed that the fundamental theorem proved above bears some remarkable resemblances to the second law of thermodynamics. Both are properties of populations, or aggregates, true irrespective of the nature of the units which compose them; both are statistical laws; each requires the constant increase of a measurable quantity, in the one case the entropy of a physical system and in the other the fitness, measured by m, of a biological population. As in the physical world we can conceive the theoretical systems in which dissipative forces are wholly absent, and in which the entropy consequently remains constant, so we can conceive, though we need not expect to find, biological populations in which the genetic variance is absolutely zero, and in which fitness does not increase. Professor Eddington has recently remarked that 'The law that entropy always increases-the second law of thermodynamics-holds, I think, the supreme position among the laws of nature'. It is not a little instructive that so similar a law should hold the supreme position among the biological sciences. While it is possible that both may ultimately be absorbed by some more general principle, for the present we should note that the laws as they stand present profound differences-(1) The systems considered in thermodynamics are permanent; species on the contrary are liable to extinction, although biological improvement must be expected to occur up to the end of their existence. (2) Fitness, although measured by a uniform method, is qualitatively different for every different organism, whereas entropy, like temperature, is taken to have the same meaning for all physical systems. (3) Fitness may be increased or decreased by changes in the environment, without reacting quantitatively upon that environment. (4) Entropy changes are exceptional in the physical world in being irreversible, while irreversible evolutionary changes form no exception among biological phenomena. Finally, (5) entropy changes lead to a progressive disorganization of the physical world, at least from the human standpoint of the utilization of energy, while evolutionary changes are generally recognized as producing progressively higher organization in the organic world.

Ronald A. Fisher
it-will-be-noticed-that-fundamental-theorem-proved-above-bears-some-remarkable-resemblances-to-second-law-thermodynamics-both-are-properties-populations-aggregates-true-irrespect
He walked straight out of college into the waiting arms of the Navy. They gave him an intelligence test. The first question on the math part had to do with boats on a river: Port Smith is 100 miles upstream of Port Jones. The river flows at 5 miles per hour. The boat goes through water at 10 miles per hour. How long does it take to go from Port Smith to Port Jones? How long to come back? Lawrence immediately saw that it was a trick question. You would have to be some kind of idiot to make the facile assumption that the current would add or subtract 5 miles per hour to or from the speed of the boat. Clearly, 5 miles per hour was nothing more than the average speed. The current would be faster in the middle of the river and slower at the banks. More complicated variations could be expected at bends in the river. Basically it was a question of hydrodynamics, which could be tackled using certain well-known systems of differential equations. Lawrence dove into the problem, rapidly (or so he thought) covering both sides of ten sheets of paper with calculations. Along the way, he realized that one of his assumptions, in combination with the simplified Navier Stokes equations, had led him into an exploration of a particularly interesting family of partial differential equations. Before he knew it, he had proved a new theorem. If that didn't prove his intelligence, what would? Then the time bell rang and the papers were collected. Lawrence managed to hang onto his scratch paper. He took it back to his dorm, typed it up, and mailed it to one of the more approachable math professors at Princeton, who promptly arranged for it to be published in a Parisian mathematics journal. Lawrence received two free, freshly printed copies of the journal a few months later, in San Diego, California, during mail call on board a large ship called the U.S.S. Nevada. The ship had a band, and the Navy had given Lawrence the job of playing the glockenspiel in it, because their testing procedures had proven that he was not intelligent enough to do anything else.

Neal Stephenson
he-walked-straight-out-college-into-waiting-arms-navy-they-gave-him-intelligence-test-the-first-question-on-math-part-had-to-do-with-boats-on-river-port-smith-is-100-miles-upstre
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