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What is a hilbert space?

What is Hilbert famous for in mathematics?

David Hilbert

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A quiz about the mathematician David Hilbert

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Questions 6

Answers

1
What is Hilbert famous for in mathematics?
axiomatisation of geometry etc - Hilbert's program
23 unsolved problems
Hilbert's Hotel
Hilbert spaces
2
What is a hilbert space?
an infinitely small function space
an infinitely dense space
an infinife dimensional inner product space
an infinitely large vector space
3
What is Hilbert's Hotel?
a hotel he owned in Königsberg where he grew up
a hotel he owned in Göttingen where he worked
a hotel with infinitely many rooms
a hotel with infinitely large rooms
4
Why did Godel's incompleteness theorem upset Hilbert?
Hilbert was a bit OCD, and incompleteness bugged him
It proved that formalism would either be wrong or incomplete
His article in the same journal got ignored - less exciting
They didn't get on and anything Godel did annoyed Hilbert
5
Which movement opposed formalism?
impressionism
expressionism
surrealism
intuitionism
6
Hilbert was a formalist. What is the main idea of formalism?
build all of maths on a few fundamental ideas
wear a suit at work
express all mathematics in formulas
mathematicians should write to each other, not use the phone