Mathematics is the door and key to the sciences.1267 Opus Majus, pt.4, ch.1 (translated by Robert Belle Burke, 1928).
The true spirit of delight, the exaltation, the sense of being more than man, which is the touchstone of the highest excellence, is to be found in Mathematics as surely as in poetry.1917 Mysticism and Logic.
Mathematics is the queen of the sciences.carl friedrich gauss
Mathematics is one of the essential emanations of the human spirit, a thing to be valued in and for itself, like art or poetry.Bulletin of the American Mathematical Society, Volume 30 (1924), p. 289
Mathematics knows no races or geographic boundaries; for Mathematics, the cultural world is one country.david hilbert
"Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.david hilbert
Mathematics is the gate and key of the sciences... Neglect of Mathematics works injury to all knowledge , since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.cited in: Morris Kline (1969) Mathematics and the physical world. p. 1
Mathematics is good for the soul, getting things right enlivens a sense of truth, efforts to understand automatically purify desires.Iris Murdoch, Metaphysics As A Guide To Morals, p. 178
[There is] a delusion that macro-economics is both viableanduseful (a delusionencouraged by its extensive use of Mathematics, which must always impress politicians lacking any mathematical education, and which is really the nearest thing to the practice of magic that occurs among professional economists).1989 The Fatal Conceit: The Errors of Socialism, ch.6.
It wasn't by accident that the Gettysburg address was so short. The laws of prose writing are as immutable as those of flight, of Mathematics, of physics.1945 Letter, 23 Jul.
If you refuse to study anatomy, the arts of drawing and perspective, the Mathematics of aesthetics, and the science of color, let me tell you that this is more a sign of laziness than of genius.salvador dalí
Toward the end of his life, Gödel feared that he was being poisoned, and he starved himself to death. His theorem is one of the most extraordinary results in Mathematics, or in any intellectual field in this century. If ever potential mental instability is detectable by genetic analysis, an embryo of someone with Kurt Gödel's gifts might be aborted.kurt gödel
A good mathematical joke is better, and better Mathematics, than a dozen mediocre papers.john edensor littlewood
There is no branch of Mathematics, however abstract, which may not some day be applied to phenomena of the real world.As quoted in George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane, Springer (1998 ), p. 225; also in Stanley Gudder, A Mathematical Journey, McGraw-Hill (1976), p. 36
Poetry is a sort of inspired Mathematics, which gives us equations, not for abstract figures, triangles, squares, and the like, but for the human emotions. If one has a mind which inclines to magic rather than science, one will prefer to speak of these equations as spells or incantations; it sounds more arcane, mysterious, recondite.ezra pound
In many cases, Mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug.stanislaw ulam
We had principles in Mathematics that were granted to be absolute in Mathematics for over 800 years, but new science has gotten rid of those absolutism, gotten forward other different logics of looking at Mathematics, and sort of turned the way we look at it as a science altogether after 800 years.mahmoud ahmadinejad
To those who do not know Mathematics it is difficult to get across a real feeling as to the beauty , the deepest beauty, of nature . ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.richard feynman
As soon as a thought or word becomes a tool, one can dispense with actually ‘thinking’ it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of Mathematics the model of all neo-positivistic thinking lies in just this ‘intellectual economy.’ Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. … Reason … becomes a fetish, a magic entity that is accepted rather than intellectually experienced.max horkheimer
The idea of an isolated American painting , so popular in this country during the thirties, seems absurd to me, just as the idea of a purely American Mathematics or physics would seem absurd... And in another sense, the problem doesn’t exist at all; or, if it did, would solve itself: An American is an American and his painting would naturally be qualified by the fact, whether he wills or not. But the basic problems of contemporary painting are independent of any one country.jackson pollock
It was, however, from Spain, and not from Arabia, that a knowledge of eastern Mathematics first came into western Europe. The Moors had established their rules in Spain in 747, and by the tenth or eleven century had attained a high degree of civilisation.W. W. Rouse Ball, A Short Account of the History of Mathematics (1888), Courier Dover, 1960, p.164
In Mathematics the art of asking questions is more valuable than solving problems.Georg Cantor (1867) Doctoral thesis
(Econometrics is) the unification of economic theory, statistics and Mathematics .Ragnar Frisch, quoted in: Warren Page (2013) Applications of Mathematics in Economics. p. 75
Even in Mathematics his whimsical fancy was sometimes suffered to peep out, and little girls who learnt the rudiments of calculation at his knee found the path they had imagined so thorny set about with roses by reason of the delightful fun with which he would turn a task into a joy. But when the fun was over the little girl would find that she had learnt the lesson (all unknowingly) just the same. Happy little girls who had such a master.Page 5 (The Story of Lewis Carroll (1899))
Questions that pertain to the foundations of Mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.Giuseppe Peano (1889) Arithmetices Principia, nova methodo exposita [The Principles of Arithmetic, presented by a new method]
Pythagoras raised Mathematics to the rank of a science. Arithmetic was courted by him as fervently as geometry. In fact, arithmetic is the foundation of his philosophic system.p. 20 (The Greeks)
Tantra is a very very poetic approach, not arithmetical. And tantra believes in love, not in Mathematics. It believes in sudden enlightenment.Osho in P.125 (Tantra: The Supreme Understanding: Discourses on the Tantric Way of Tilopa's Song of Mahamudra)
The land of easy Mathematics where he who works adds up and he who retires subtracts.Núria Añó, 2066. Beginning the age of correction
Men are constantly attracted and deluded by two opposite charms: the charm of competence which is engendered by Mathematics and everything akin to Mathematics, and the charm of humble awe, which is engendered by meditation on the human soul and its experiences. Philosophy is characterized by the gentle, if firm, refusal to succumb to either charm.leo strauss
Trivialism arises from the idea that Mathematics is classical and there is contradiction in Mathematics, and therefore (under our old classical reasoning), all of Mathematics is true , we then get to the meaninglessness of any particular mathematical statement and wallow in our degenerate theory .Koji Tanaka, et al., in "Paraconsistency: Logic and Applications: Logic and Applications", p.296