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September 10, 2025SyntheseOpen Access

Wittgenstein on Cantor’s Proof

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Philosophical analysis reveals Wittgenstein's unique stance on irrational numbers and Cantor's theorem.

Wittgenstein critiques the definition of irrational numbers, challenging traditional notions of infinity.
His view of 'full-blooded intensionalism' differs notably from extensionalism and quasi-intensionalism.
Contrary to common belief, Wittgenstein's perspective does not suggest a revision of set-theoretical practice.
The exploration connects philosophical theories to foundational mathematical concepts, emphasizing their relevance.

Bangu et al. (2025) studied this question.

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