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David Hilbert Trivia Questions

How much do you really know about David Hilbert? Below are 8 true or false statements. Click each one to reveal the answer and explanation.

1.

Hilbert’s famous list of 23 unsolved problems, presented in 1900, shaped much of 20th-century mathematics.

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Easy
✓ TRUE

At the International Congress of Mathematicians in Paris, Hilbert outlined 23 problems that drove research for decades, including the Riemann Hypothesis.

2.

Hilbert had a severe phobia of numbers and avoided writing anything with the digit 13.

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Easy
✗ FALSE

There’s no evidence of such superstition. Hilbert was a rationalist and famously opposed mystical thinking in mathematics.

3.

David Hilbert originally studied law before switching to mathematics due to boredom.

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Medium
✗ FALSE

Hilbert studied mathematics from the start at Königsberg, never law. He was passionate about math early on, earning his doctorate in 1885.

4.

Hilbert’s tombstone is inscribed with his famous quote: 'We must know — we shall know.'

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Medium
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His epitaph reads 'Wir müssen wissen — wir werden wissen,' reflecting his optimistic belief in the solvability of all mathematical problems.

5.

Hilbert invented the term 'Hilbert space,' a central concept in quantum mechanics and functional analysis.

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Medium
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Though named after him, Hilbert space was formalized by von Neumann and others. Hilbert’s work on integral equations laid the crucial groundwork.

6.

Hilbert was a close friend of Albert Einstein and helped him develop the theory of general relativity.

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Hard
✗ FALSE

They corresponded, but Hilbert independently worked on field equations. Their friendly rivalry led to a near-simultaneous publication, but Einstein gets full credit.

7.

Hilbert once said, 'No one shall expel us from the paradise that Cantor has created for us,' defending set theory.

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Hard
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He said this in 1926 to support Georg Cantor’s controversial infinite set theory against critics like Kronecker. It became a famous rallying cry.

8.

Hilbert believed that every mathematical problem has a solution that can be found through a finite algorithm.

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Hard
✗ FALSE

This is a myth. Hilbert proposed a formalist program, but Gödel’s incompleteness theorems later showed that some truths are unprovable within a system.

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