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Ideas for 'fragments/reports', 'Frege Philosophy of Language (2nd ed)' and 'Beyond internal Foundations to external Virtues'

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10554	Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett]
	Full Idea: In the intuitionist view, the notion of an intuitive proof cannot be expected to coincide with that of a proof in a formal system, and Gödel's incompleteness theorem is thus unsurprising from an intuitionist point of view.
	From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14)