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Quote by Gottfried Leibniz

“Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.”

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Gottfried Leibniz

German mathematician, philosopher, historian, and inventor. Gottfried Leibniz is one of the founders of calculus and has made significant contributions to mathematics, philosophy, history, and other fields. more

“The Mathematics are Friends to Religion, inasmuch as they charm the Passions, restrain the Impetuosity of the Imagination, and purge the Mind from Error and Prejudice. Vice is Error, Confusion, and false Reasoning; and all Truth is more or less opposite to it. Besides, Mathematical Studies may serve for a pleasant Entertainment for those Hours which young Men are apt to throw away upon their Vices; the Delightfulness of them being such as to make Solitude not only easy, but desirable.”

Source: An Essay on the Usefulness of Mathematical Learning: In a Letter from a Gentleman in the City, to His Friend at Oxford

“The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules... One might therefore conjecture that these axioms and rules of inference are sufficient to decide any mathematical question that can at all be formally expressed in these systems. It will be shown below that this is not the case, that on the contrary there are in the two systems mentioned relatively simple problems in the theory of integers that cannot be decided on the basis of the axioms.”

“The essence of mathematics lies precisely in its freedom.”

Lying Essence Mathematics

Author:Georg Cantor

“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.”

Has Beens Facts Age Principles Discovery Logic Mathematics Mathematical Analysis Symbolic Mathematical Logic

Book:Principles of Mathematics

Source: Principles of Mathematics

“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.”

Important Science Language Imagination Common Logic Mathematics Common Sense Advancement Qualifications Common Language Scientific Advancement

Author:Joseph Henry

“The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.”

“The mathematics clearly called for a set of underlying elementary objects-at that time we needed three types of them-elementary objects that could be combined three at a time in different ways to make all the heavy particles we knew. ... I needed a name for them and called them quarks, after the taunting cry of the gulls, "Three quarks for Muster mark," from Finnegan's Wake by the Irish writer James Joyce.”

Way Different Science Three Names Cry Objects Type Needed Mark Mathematics Heavy Different Ways Particles Joyce Muster Taunting Nomenclature Gulls Irish Writers Quarks

Author:Murray Gell-Mann

“The progress of mathematics can be viewed as progress from the infinite to the finite.”

Science Progress Infinite Mathematics Finite

Author:Gian-Carlo Rota

“The proof given by Wright, that non-adaptive differentiation will occur in small populations owing to "drift," or the chance fixation of some new mutation or recombination, is one of the most important results of mathematical analysis applied to the facts of neo-mendelism. It gives accident as well as adaptation a place in evolution, and at one stroke explains many facts which puzzled earlier selectionists, notably the much greater degree of divergence shown by island than mainland forms, by forms in isolated lakes than in continuous river-systems.”

“The real trouble with this world of ours is not that it is an unreasonable world, nor even that it is a reasonable one. The commonest kind of trouble is that it is nearly reasonable, but not quite. ... It looks just a little more mathematical and regular than it is; its exactitude is obvious, but its inexactitude is hidden; its wilderness lies in wait.”

World Looks Kind Littles Real Lying Waiting Trouble This World Mathematics Obvious Mathematical Reasonable Wilderness Unreasonable Exactitude

Author:Gilbert K. Chesterton

Quote by Gottfried Leibniz

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