Mathematical Quotes

• We're looking at a quandary here where Bernie's Sanders the winner on a moral and even a political basis. He's made history, and she's the winner on the mathematical basis.

  

  Tom Hayden
  • Political
  • Moral
  • Winner

• In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that their science can only be satisfactorily treated on an explicitly mathematical basis.

  

  William Stanley Jevons
  • Writing
  • Wish
  • Mathematician

• The world of physics is essentially the real world construed by mathematical abstractions, and the world of sense is the real world construed by the abstractions which the sense-organs immediately furnish. To suppose that the "material mode" is a primitive and groping attempt at physical conception is a fatal error in epistemology.

  

  Susanne Langer
  • World
  • Real
  • Physics

• Our present work sets forth mathematical principles of philosophy. For the basic problem of philosophy seems to be to discover the forces of nature from the phenomena of motions and then to demonstrate the other phenomena from these forces. It is to these ends that the general propositions in books 1 and 2 are directed, while in book 3 our explanation of the system of the world illustrates these propositions.

  

  Isaac Newton
  • Philosophy
  • Principle
  • Mathematical

• Many persons entertain a prejudice against mathematical language, arising out of a confusion between the ideas of a mathematical science and an exact science. ...in reality, there is no such thing as an exact science.

  

  William Stanley Jevons
  • Reality
  • Language
  • Logic

• Mathematical knowledge is unlike any other knowledge. While our perception of the physical world can always be distorted, our perception of mathematical truths can’t be. They are objective, persistent, necessary truths. A mathematical formula or theorem means the same thing to anyone anywhere – no matter what gender, religion, or skin color; it will mean the same thing to anyone a thousand years from now. And what’s also amazing is that we own all of them. No one can patent a mathematical formula, it’s ours to share. There is nothing in this world that is so deep and exquisite and yet so readily available to all. That such a reservoir of knowledge really exists is nearly unbelievable. It’s too precious to be given away to the “initiated few.” It belongs to all of us.

  

  Edward Frenkel
  • Knowledge
  • Truths
  • Theorem

• Without leaving his study, without even looking at the sky—had found the unknown planet Neptune solely by mathematical calculation, and, as it were, touched it with the tip of his pen!

  

  Urbain Le Verrier
  • Planet
  • Mathematical
  • Calculation

• The purpose of concept art as a genre is to unbrainwash our mathematical and logical faculties.

  

  Henry Flynt
  • Art
  • Purpose
  • Logical

• Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.

  

  Richard Feynman
  • Writing
  • Strange
  • Able

• What is revealed through the psychedelic experience, I think, is a higher dimensional perspective on reality. And I use 'higher dimensional' in the mathematical sense.

  

  Terence McKenna
  • Reality
  • Perspective
  • Higher

• More than sixty years ago, mathematical logicians, by defining precisely the concept of an algorithm, gave content to the ancient human idea of an effective calculation. Their definitions led to the creation of the digital computer, an interesting example of thought bending matter to its ends. Interesting Computer Ancient Creation Mathematical Sixty Algorithms Bending Defining Definitions Digital Ends Example Humans Ideas Matter Years Calculations Concepts Years Ago

  

  David Berlinski
  • Interesting
  • Creation
  • Computer

• A physical law must possess mathematical beauty.

  

  Paul Dirac
  • Beauty
  • Mathematical
  • Physical Laws

• Die mathematische Forschung besteht aus 10% Intuition und 90% Arbeit.

  

  Edmund Hlawka
  • Mathematical

• Also, it's not the mathematical skill that's critical to winning, it's the discipline of being able to stick to the system. There are very few people who can withstand the losses emotionally and still stick with the system. Probably only one in five hundred people has the necessary discipline to be successful.

  

  Blair Hull
  • Winning
  • Successful
  • Discipline

• The difference is that we have the hardest and most painful evidence that there was a Holocaust. But, for the global warming scenario that is causing such hysteria, we have only a movie made by a politician and mathematical models whose results change drastically when you change a few of the arbitrarily selected variables.

  

  Thomas Sowell
  • Differences
  • Evidence
  • Politician

• Page after page of professional economic journals are filled with mathematical formulas leading the reader from sets of more or less plausible but entirely arbitrary assumptions to precisely stated but irrelevant theoretical conclusions.

  

  Wassily Leontief
  • Assumption
  • Conclusion
  • Irrelevant

• The stone that Dr. Johnson once kicked to demonstrate the reality of matter has become dissipated in a diffuse distribution of mathematical probabilities. The ladder that Descartes, Galileo, Newton, and Leibniz erected in order to scale the heavens rests upon a continually shifting, unstable foundation.

  

  Morris Kline
  • Reality
  • Heaven
  • Distribution

• Any schemes - such as 'think of symmetry laws', or 'put the information in mathematical form', or 'guess equations'- are known to everybody now, and they are all tried all the time. When you are stuck, the answer cannot be one of these, because you will have tried these right away...The next scheme, the new discovery, is going to be made in a completely different way.

  

  Richard Feynman
  • Thinking
  • Answers
  • Discovery

• ...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.

  

  Carl Gustav Hempel
  • Body
  • Property
  • Geometry

• Photography does not form a separate, barren field of art. It is only a means of execution, uniform, rapid and sure, which serves the artist by reproducing with mathematical precision the form and effect of objects and even that poetry which at once arises from any harmonious combination.

  

  Charles Negre
  • Art
  • Mean
  • Artist

• Wisdom is not mathematical, nor astronomical, nor zoological; when it talks too much of any one thing it ceases to be itself. There are wise physicists, but wisdom is not physical; there are wise physicians, but wisdom is not medical.

  

  George Sarton
  • Wise
  • Medical
  • Physicians

• The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical propositions, if true, are eternal verities.

  

  Cassius Jackson Keyser
  • World
  • Independent
  • Matter

• The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. Therefore, the mathematical is the fundamental presupposition of the knowledge of things.

  

  Martin Heidegger
  • Experience
  • Moving
  • Evident

• Cyberspace is the human transition into a mathematical super space where we as a collectivity become optionally a single point of view.

  

  Terence McKenna
  • Space
  • Humans
  • Views

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