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.
The Postulates of Mathematics Were Not on the Stone Tablets that Moses Brought Down from Mt. Sinai.richard hamming
Chess is not Mathematics, where ten is always more than one; in chess the King with a pawn can beat opponent's King with all pieces if they are placed badly.ashot nadanian
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.roger bacon
A mathematical formula should never be "owned" by anybody! Mathematics belong to God.donald knuth
Perhaps the least inadequate description of the general scope of modern Pure Mathematics I will not call it a definition would be to say that it deals with form, in a very general sense of the term; this would include algebraic form, functional relationship, the relations of order in any ordered set of entities such as numbers, and the analysis of the peculiarities of form of groups of operations.E. W. Hobson "Presidential Address British Association for the Advancement of Science, Section A, (1910}" in: Nature, Vol. 84, p. 287
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 in the analysis of Symbolic Logic itself.bertrand russell
[Mathematics is] the science that draws necessary conclusions.Benjamin Peirce, "Linear Associative Algebra", American Journal of Mathematics, Vol. 4, No. 1/4 (1881).
It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to Mathematics, though she is still forbidden to resort to physics and chemistry.'Minority Report'. Collected in Notebooks (1956).
If you are receptive and humble, Mathematics will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the Mathematics led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.paul dirac
God used beautiful Mathematics in creating the world.paul dirac
Grattan-Guiness's uniformly interesting and valuable account of the interwoven development of logic and related fields of Mathematics . . . between 1870 and 1940 presents a significantly revised analysis of the history of the period. . . . [His] book is important because it supplies what has been lacking: a full account of the period from a primary mathematical perspective.ivor grattan-guinness
Discovery in Mathematics is not a matter of logic. It is rather the result of mysterious powers which no one understands, and in which unconscious recognition of beauty must play an important part. Out of an infinity of designs, a mathematician chooses one pattern for beauty's sake and pulls it down to earth.marston morse
Wherefore it is impossible to succeed in comparing wealth of different eras or different nations. This, in political economy, like squaring the circle in Mathematics, is impracticable, for want of a common mean or measure to go by.jean-baptiste say
Even the simplest calculation in the purest Mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?stanislaw ulam
Without Mathematics, we are blind.alain badiou
The science you enjoy now is the science we taught you. The medicine you treat yourselves with is the medicine we gave you. It’s the same with the astronomy you know, the Mathematics, the literature, the art...muammar gaddafi
Do not imagine that Mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.william thomson
I like Mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza 's God, it won't love us in return.bertrand russell
Science and Mathematics Run parallel to reality , they symbolize it, they squint at it, They never touch it: consider what an explosion Would rock the bones of men into little white fragments and unsky the world If any mind for a moment touch truth .Robinson Jeffers, in "The Silent Shepherds" (1958)
Grosseteste was deeply concerned with the detailed investigation of natural phenomena. It was the inspiration of this attitude of mind, together with Grosseteste's emphasis on the importance of Mathematics, that was perhaps his chief legacy to thinkers in fourteenth-century Oxford who were developing the beginnings of a mathematical physics.Neil Lewis, "Robert Grosseteste" Stanford Encyclopedia of Philosophy (2007, 2013)
We can no more have exact religious thinking without theology, than exact mensuration and astronomy without Mathematics, or exact iron-making without chemistry,John Hall (Presbyterian pastor) (1895) Dictionary of Burning Words of Brilliant Writers p.580.
...the Carnatic music system is arbitrary in principle, even though some features may be conditioned by mathematical laws ....the only law of Mathematics that Carnatic music adheres to is the law of doubling the frequency of the fundamental for the octave.K. G. Vijayakrishnan (2007), in “The Grammar of Carnatic Music”, p.17
It is noteworthy that modern Platonists , almost without exception, are ignorant of Mathematics, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence that they [these studies] had on his philosophy. This is an example of the evils of specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have no time for the things that Plato thought important.Book One, Part II, Chapter XV, The Theory of Ideas, p. 132
Plato observed that geometry trained the mind for correct and vigorous thinking. Hence it was that the Eudemian Summary says, "He filled his writings with mathematical discoveries, and exhibited on every occasion the remarkable connection between Mathematics and philosophy."p. 30 (The Greeks)
Math is perfect (in principle), but mathematicians are not (because they are humans), hence the Mathematics that (human) mathematicians do is influenced by the weltanschauung of the people around them.Doron Zeilberger "Computerized Deconstruction". Appeared in Adv. Appl. Math. v. 31 (2003), 532-543.
India was the motherland of our race, and Sanskrit the mother of Europe's languages: she was the mother of our philosophy; mother, through the Arabs, of much of our Mathematics; mother, through the Buddha , of the ideals embodied in Christianity; mother, through the village community, of self-government and democracy. Mother India is in many ways the mother of us all.Will Durant, in The Case for India (1931)
It suggests to me that consciousness and our ability to do Mathematics are no mere accident, no trivial detail, no insignificant by-product of evolution.Paul Davies, Are We Alone?
Ever since Plato most philosophers have considered it part of their business to produce ‘proofs’ of immortality and the existence of God . They have found fault with the proofs of their predecessors Saint Thomas rejected Saint Anselm's proofs, and Kant rejected Descartes ' but they have supplied new ones of their own. In order to make their proofs seem valid, they have had to falsify logic , to make Mathematics mystical , and to pretend that deep seated prejudices were heaven-sent intuitions .Bertrand Russell, in Ie – Evaluating “Proofs” of God’s Existence, Zenofzero.net, 30 October 2012