Home / Quotes / Quote by David Hilbert

Quote by David Hilbert

“No one shall expel us from the paradise which Cantor has created for us. Expressing the importance of Cantor's set theory in the development of mathematics.”

Quote by David Hilbert

Author

David Hilbert, a German mathematician born on January 23, 1862, and died on February 14, 1943, was one of the greatest mathematicians of the 20th century. He is renowned for his contributions to the foundations of mathematics, geometry, number theory, and functional analysis. more

You May Also Like

“On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.”

Ifs Men World Real Science Levels Deals Education Subjects Students Taught Concern Mathematics Primaries Ties Real World Isolated Undergraduate

Author:Morris Kline

“Only mathematics and mathematical logic can say as little as the physicist means to say.”

Mean Littles Science Logic Mathematics Mathematical Physicist Mathematical Logic

Book:The basic writings of Bertrand Russell, 1903-1959

Source: The basic writings of Bertrand Russell, 1903-1959

“Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.”

Term Theory Logic Mathematics Notion Opponents Vigorous

Author:Eric Temple Bell

“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.”

Source: A Mathematician's Apology

“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.”

Humans Facts Home Passion Natural Generations Pure Mathematics Cosmos Pitiful

Book:Mysticism and Logic

Source: Mysticism and Logic

“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.”

Trying Years Looks Hard Reason Problem Lasts Beautiful Turns Easy Simple Example Hundred Mathematics Solve Reason Why No Reason Intricate Theorems

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.”

People Thinking Feels Persons Science Effort Taught Ought Mathematics Obvious Senses Absurd Illustration

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.”

World Done Science Time Half Mathematics Newton Better Half

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.”