Questions tagged [hilbert]

David Hilbert (1862-1943) was a German mathematician and one of the most influential and universal mathematicians of the 19th and early 20th centuries.

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Background on the Stone-von Neumann theorem

I'm a mathematician. I'm required to give a lecture on the Stone-von Neumann theorem. I already have all the mathematical details figured out, but I wish to make the lecture more interesting by giving ...
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Why is Hilbert's Seventeenth Problem important?

I'm self-learning about Model Theory and I just got to the proof of Hilbert's 17th Problem via Model Theory of Real Closed Fields. The 17th problem asks to show that a non-negative rational function ...
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Was Hilbert ambivalent about set theory?

There is the well-known quote of Hilbert: "No one shall drive us from the paradise which Cantor has created for us." [D. Hilbert: "Über das Unendliche", Mathematische Annalen 95 (...
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Are there any records that show how Hilbert came to “invent” or “discover” Hilbert spaces?

I think it's fuzzy as to whether or not this question is appropriate to ask on this site. The reason I ask it that the characteristics of Hilbert spaces are very much used in expressing quantum ...
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Is there any reason why Hilbert's problems are ordered in the way they are?

Is there any reason why Hilbert's problems are ordered in the way they are? Also, from whom does this ordering come? I know that Hilbert talked about several problems on his list, namely 1, 2, 6, 7, ...
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Hilbert's problems

Hilbert presented ten of his 23 problems at the Paris conference of the International Congress of Mathematicians, speaking on August 8 in the Sorbonne 1900. In which of the 23 or 24 problems was ...
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Did Hilbert really have dyscalculia?

One of the comments on this Math.SE question states that Hilbert had dyscalculia. However I have not been able to find a reliable source that confirms this, and I do not really believe it. Of ...
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David Hilbert and the limits of science

David Hilbert wrote a couple of anecdotal paragraphs regarding "the limits of science." He recalled that in the early 19th Century the position of a philosopher - or philosophy in general - was that ...
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Hilbert's reaction to Gödel's incompleteness theorems

Is it known how Hilbert initially reacted to Gödel's incompleteness theorems upon their announcement at the Königsberg conference in 1930, or their publication in 1931?
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What was the connection between David Hilbert and Stefan Banach?

The so-called "Hilbert space" is named after mathematician David Hilbert. Later, this was generalized into "Banach spaces" by Stefan Banach. My understanding is that Hilbert was ...