Quotes About Mathematics And Logic

#1. Proofs exist only in mathematics and logic, not in science.

Satoshi Kanazawa

#2. Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative problems in a much broader sense than was suspected to be possible.

Alfred Korzybski

#3. Language is remarkable, except under the extreme constraints of mathematics and logic, it never can talk only about what it's supposed to talk about but is always spreading around.

Howard Nemerov

#4. Jericho lowered himself carefully to his knees. He covered his eyes and moved his lips like all the others, but he had no faith in any of it. Faith in mathematics, yes; faith in logic, of course; faith in the trajectory of the stars, yes, perhaps. But faith in a God, Christian or otherwise?

Robert Harris

#5. I am convinced that the act of thinking logically cannot possibly be natural to the human mind. If it were, then mathematics would be everybody's easiest course at school and our species would not have taken several millennia to figure out the scientific method.

Neil DeGrasse Tyson

#6. Mathematics does not grow through a monotonous increase of the number of indubitably established theorems but through the incessant improvement of guesses by speculation and criticism, by the logic of proofs and refutations.

Imre Lakatos

#7. Human logic [emphasis added] was forced on us by the physical world and is therefore consistent with it. Mathematics derives from logic. This is why mathematics is consistent with the physical world.

Jef Raskin

#8. Well it was not exactly a dissertation in logic, at least not the kind of logic you would find in Whitehead and Russell's Principia Mathematica for instance. It looked more like mathematics; no formalized language was used.

Alonzo Church

#9. The subtleties of mathematics defecate the grossness of our apprehension, and supply the elements of a sounder and severer logic.

William Godwin

#10. It is perplexing to see the flexibility of the so-called 'exact sciences' which by cast-iron laws of logic and by the infallible help of mathematics can lead to conclusions which are diametrically opposite to one another.

Vasco Ronchi

#11. What would mathematics have amounted to without the imagination of its devotees-its giants and their followers? There never was a discovery made without the urge of imagination-of imagination which broke the roadway through the forest in order that cold logic might follow.

David Eugene Smith

#12. Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.

Francis Bacon

#13. We especially need imagination in science. It is not all logic, nor all mathematics, but is somewhat beauty and poetry.

Maria Mitchell

#14. Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty.

Deepak Chopra

#15. The advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil.

Norbert Wiener

#16. Logic and mathematics are nothing but specialised linguistic structures.

Jean Piaget

#17. Mathematics is the poetry of logic and the music of reason.

Albert Einstein

#18. Only mathematics and mathematical logic can say as little as the physicist means to say.

Bertrand Russell

#19. Inferences of Science and Common Sense differ from those of deductive logic and mathematics in a very important respect, namely, when the premises are true and the reasoning correct, the conclusion is only probable.

Bertrand Russell

#20. The general mental qualification necessary for scientific advancement is that which is usually denominated "common sense," though added to this, imagination, induction, and trained logic, either of common language or of mathematics, are important adjuncts.

Joseph Henry

#21. Mathematics had never had more than a secondary interest for him [her husband, George Boole]; and even logic he cared for chiefly as a means of clearing the ground of doctrines imagined to be proved, by showing that the evidence on which they were supposed to give rest had no tendency to prove them.

Mary Everest Boole

#22. There is a logic of language and a logic of mathematics.

Thomas Merton

#23. Mathematics has always shown a curious ability to be applicable to nature, and this may express a deep link between our minds and nature. We are the Universe speaking out, a part of nature. So it is not so surprising that our systems of logic and mathematics sing in tune with nature.

George Zebrowski

#24. The person who wishes to attain human perfection should study logic first, next mathematics, then physics, and, lastly, metaphysics.

Maimonides

#25. I use logic all the time in mathematics, and it seems to yield "correct" results, but in mathematics "correct" by and large means "logical", so I'm back where I started. I can't defend logic because I can't remove my glasses.

Richard J. Trudeau

#26. I know that two and two make four - and should be glad to prove it too if I could - though I must say if by any sort of process I could convert 2 and 2 into five it would give me much greater pleasure.

George Gordon Byron

#27. By a combination of formal training and self study, the latter continuing systematically well into the 1940s, I was able to gain a broad base of knowledge in economics and political science, together with reasonable skills in advanced mathematics, symbolic logic, and mathematical statistics.

Herbert A. Simon

#28. Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought.

Frank Plumpton Ramsey

#29. Bits also play a part in logic, that strange blend of philosophy and mathematics for which a primary goal is to determine whether certain statements are true or false. True

Charles Petzold

#30. I lose faith in mathematics, logical and rigid. What with those that even zero doesn't accept?

Dejan Stojanovic

#31. But the science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value; just as logic has its own peculiar truth and value, independently of the subjects to which we may apply its reasonings and processes.

Ada Lovelace

#32. Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and simplicity in human thought.

Edward Teller

#33. I earned my Ph.D. in philosophy, and one of my specializations was the logic and mathematics of game theory. I've also got a degree in drama, so I know about stories, characterizations, plot arcs, and the like. Lots of game designers can do one or the other: I've got the skills for both.

Brendan Myers

#34. Arithmetic is where the content lies, and not logic; but logic prompts certainty, and not arithmetic.

David Berlinski

#35. The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists of the analysis of Symbolic Logic itself.

Bertrand Russell

#36. Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.

Karl Wilhelm Friedrich Schlegel