Top 57 Quotes About Axioms: Famous Quotes & Sayings About Axioms

#1. My Design in this Book is not to explain the Properties of Light by Hypotheses, but to propose and prove them by Reason and Experiments: In order to which, I shall premise the following Definitions and Axioms.

Isaac Newton

#2. Since these words went into William's fermenting little brain not as word memories, but as circuitry for storing word memories, bricks used to build the kiln for firing bricks, he has no recollection of the rhyme, yet the ideas in it are axioms of his mental geometry.

Dennis Vickers

#3. You know, in formal logic, an inconsistent set of axioms can be used to prove anything at all. Once you have a single contradiction, A and not A, there's nothing you can't derive from it.

Greg Egan

#4. I am not a mathematician, but I was aware that for centuries, mathematics was considered the queen of the sciences because it claimed certainty. It was grounded on some fundamental certainties - axioms - that led to others.

Tom Stoppard

#5. Are the axioms of logic adequate to reality or are they a means and measure for us to create reality, the concept "reality", for ourselves?

Friedrich Nietzsche

#6. The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.

John Allen Paulos

#7. The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms.

Albert Einstein

#8. It's one of the old show business axioms. No matter how successful you've been, there's always a younger and sexier seal coming along.

George Burns

#9. Axioms are delightful in theory, but impossible in practice.

Antoine Rivarol

#10. Pointed axioms and acute replies fly loose about the world, and are assigned successively to those whom it may be the fashion to celebrate.

Samuel Johnson

#11. Freedom can be manifested only in the void of beliefs, in the absence of axioms, and only where the laws have no more authority than a hypothesis.

Emile M. Cioran

#12. Boarding-House Geometry DEFINITIONS AND AXIOMS All boarding-houses are the same boarding-house. Boarders in the same boarding-house and on the same flat are equal to one another. A single room is that which has no parts and no magnitude. The landlady of a boarding-house is a

Stephen Leacock

#13. Those reliable axioms about the taste and expectations of the mass movie audience are not so much laws of nature as artifacts of corporate strategy. And the lessons derived from them conveniently serve to strengthen a status quo that increasingly marginalizes risk, originality and intelligence.

A.O. Scott

#14. You can "prove" anything on the verbal level, just be accepting the necessary axioms at the beginning.

Robert Anton Wilson

#15. Jean Valjean disconcerted him. All the axioms which had served him as points of support all his life long, had crumbled away in the presence of this man. Jean Valjean's generosity towards him, Javert, crushed him.

Victor Hugo

#16. We do everything by custom, even believe by it; our very axioms, let us boast of free-thinking as we may, are oftenest simply such beliefs as we have never heard questioned.

Thomas Carlyle

#17. I'm not against the concept of Creators/God, I'm against the antiquated beliefs that there are evil things, which are merely axioms we concocted out of our inadequacy as mortal beings, primitive brain, and underdeveloped technology.

Andreas Laurencius

#18. My grandmother has hundreds of axioms. One of them was 'If you think you want something, wait a month.' One of three things will happen if you follow this sage advice. One: You will forget. Two: You will no longer need it. Or three: You will need it more. Most often numbers one and two will happen.

Matthew Sleeth

#19. Those authors are to be read at schools that supply most axioms of prudence.

Samuel Johnson

#20. I collect axioms, paradoxes, maxims, teaching stories, proverbs, and aphorisms of all sorts, because I love to see complex ideas distilled into a few words.

Gretchen Rubin

#21. The productions of the mind and hand seem very numerous in books and manufactures. But all this variety lies in an exquisite subtlety and derivations from a few things already known, not in the number of axioms. VIII

Francis Bacon

#22. A few rules include all that is necessary for the perfection of the definitions, the axioms, and the demonstrations, and consequently of the entire method of the geometrical proofs of the
art of persuading.

Blaise Pascal

#23. Life cannot be captured in a few axioms. And that is just what I keep trying to do. But it won't work, for life is full of endless nuances and cannot be captured in just a few formulae.

Etty Hillesum

#24. If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way.

George Polya

#25. What's more, I believe in argument and I even love it. Argument is our most steadfast pathway toward truth, for it is the only proven arbalest against superstitious thinking, or lackadaisical axioms.

Elizabeth Gilbert

#26. Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof.

Gottfried Leibniz

#27. What are your Axioms, and Categories, and Systems, and Aphorisms? Words, words ... Be not the slave of Words ...

Thomas Carlyle

#28. We know that there is no absolute knowledge, that there are only theories; but we forget this. The better educated we are, the harder we believe in axioms.

Lincoln Steffens

#29. We can ... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.

Hans Reichenbach

#30. You might ask why we cannot teach physics by just giving the basic laws on page one and then showing how they work in all possible circumstances, as we do in Euclidean geometry, where we state the axioms and then make all sorts of deductions. (So,

Richard Feynman

#31. If there are such things as political axioms, the propriety of the judicial power of a government being co-extensive with its legislative, may be ranked among the number.

Alexander Hamilton

#32. A science is something which is constructed from truth on workable axioms. There are 55 axioms in scientology which are very demonstrably true, and on these can be constructed a great deal.

L. Ron Hubbard

#33. Not only the individual experience slowly acquired, but the accumulated experience of the race, organized in language, condensed in instruments and axioms, and in what may be called the inherited intuitions
these form the multiple unity which is expressed in the abstract term experience.

George Henry Lewes

#34. When Keats says: 'Axioms in philosophy are not axioms until they are proved upon our pulses', what he means is that we don't necessarily believe what a poem is saying if it comes out and tells us in an absolutely head-on, in-your-face way; we only believe it to be true if we feel it to be true.

Andrew Motion

#35. Paradoxes are less paradoxical in their reference to truth than most of the most plausible axioms.

Raheel Farooq

#36. Applying the axioms of physical science to human life has something reprehensible to it.

Albert Einstein

#37. By refraining from reducing multiplication to addition we are enabled through these axioms to banish continuity, which is so difficult to fix precisely, from the logical structure of geometry.

Hermann Weyl

#38. Underlying the preaching of the Puritans are three basic axioms: 1. The unique place of preaching is to convert, feed and sustain, 2. The life of the preacher must radiate the reality of what he preaches, 3. Prayer and solid Bible study are basic to effective preaching.

J.I. Packer

#39. I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.

Henry Adams

#40. A dozen more questions occurred to me. Not to mention twenty-two possible solutions to each one, sixteen resulting hypotheses and counter-theorems, eight abstract speculations, a quadrilateral equation, two axioms, and a limerick. That's raw intelligence for you.

Jonathan Stroud

#41. For hundreds of pages the closely-reasoned arguments unroll, axioms and theorems interlock. And what remains with us in the end? A general sense that the world can be expressed in closely-reasoned arguments, in interlocking axioms and theorems.

Michael Frayn

#42. Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

David Hilbert

#43. Philosophy begins when one learns to doubt - particularly to doubt one's cherished beliefs, one's dogmas and one's axioms.

Will Durant

#44. We should never forget the two axioms: 'Jesus is with me' and whatever happens, happens by the will of God.

Charles De Foucauld

#45. This means that, where appropriate, we will dive into mathematical equations, mathematical intuition, mathematical axioms, and cartoon versions of big mathematical ideas.

Joel Grus

#46. It is not enough merely to memorize and spout vocal axioms good singing is infinitely more than much talk and head-knowledge.

Jerome Hines

#47. The principles of Jefferson are the definitions and axioms of free society.

Abraham Lincoln

#48. For axioms in philosophy are not axioms until they are proved upon our pulses.

John Keats

#49. Yet Gotama's Dhamma is more than just a series of axioms. It is to be lived rather than simply adopted and believed in. It entails that one embrace this world in all its contingency and specificity, with all its ambiguity and flaws.

Stephen Batchelor

#50. In addition, the teaching of theories from axioms, or some close imitation of them such as the basic laws of an algebra, is usually an educational disaster.

Ivor Grattan-Guinness

#51. The eye of understanding is like the eye of the sense; for as you may see great objects through small crannies or levels, so you may see great axioms of nature through small and contemptible instances.

Francis Bacon