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Quote by Bertrand Russell

“Remote from human passions, remote even from the pitiful facts of nature, the generations have gradually created an ordered cosmos [mathematics], where pure thought can dwell in its natural home.”

Quote by Bertrand Russell

Book:Mysticism and Logic

Work

Mysticism and Logic

This book delves into the conceptual relationship between mystical experiences and the principles of logical thought, examining how these two realms may be interconnected. more

Author

Bertrand Russell

Bertrand Russell was a British philosopher, mathematician, and logician born on May 18, 1872, and died on February 2, 1970. He is known for his contributions to logic and mathematics, particularly in the fields of mathematical logic and philosophical analysis. His works spanned a wide range of subjects, including ethics, political philosophy, history, and literary criticism. more

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“Some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve. There's no reason why these problems shouldn't be easy, and yet they turn out to be extremely intricate. Fermat's Last Theorem is the most beautiful example of this.”

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Author:Andrew Wiles

“Some persons have contended that mathematics ought to be taught by making the illustrations obvious to the senses. Nothing can be more absurd or injurious: it ought to be our never-ceasing effort to make people think, not feel.”

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Book:Seven Lectures on Shakespeare and Milton: A List of All the Ms. Emendations in Mr. Collier's Folio, 1632

Source: Seven Lectures on Shakespeare and Milton: A List of All the Ms. Emendations in Mr. Collier's Folio, 1632

“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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Author:Gottfried Leibniz

“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.”

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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.”

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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.”

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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.”

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Author:Murray Gell-Mann