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Certain Quotes

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Certain Quotes

“There is a certain way of searching for the truth in mathematics that Plato is said first to have discovered. Theon called this analysis.”

Way Firsts Said Certain Mathematics Analysis Plato

Book:The Analytic Art

Source: The Analytic Art

“It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.”

Men May Certain Mathematics Faults Mere Being True Occupation Mathematician Exclusive Shortcomings

Author:Carl Friedrich Gauss

“Concern for the symbol has completely disappeared from our science . And yet, if one were to give oneself the trouble, one could easily find, in certain parts at least of contemporary mathematics... symbols as clear, as beautiful, and as full of spiritual meaning as that of the circle and mediation. From modern thought to ancient wisdom the path would be short and direct, if one cared to take it.”

Source: The Need for Roots: Prelude to a Declaration of Duties Towards Mankind

“Three principles - the conformability of nature to herself, the applicability of the criterion of simplicity, and the utility of certain parts of mathematics in describing physical reality - are thus consequences of the underlying law of the elementary particles and their interactions. Those three principles need not be assumed as separate metaphysical postulates. Instead, they are emergent properties of the fundamental laws of physics.”

“Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.”

Ifs Kind Certain Degrees Mathematics Maturity

Author:David Hilbert

“I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.”

“The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.”

Source: Gesammelte Abhandlungen