2000•Unpublished venueRequires access

Preliminaries

Michael Dummett

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Abstract

Abstract What everyone who has heard of intuitionism knows is that intuitionists want their proofs to be constructive. The notion of a constructive proof is, however, by no means restricted solely to intuitionistic or other forms of ‘constructivist’ mathematics: the distinction between constructive and non-constructive proofs arises within classical mathematics, and is perfectly intelligible from a completely platonistic standpoint.

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Abstract What everyone who has heard of intuitionism knows is that intuitionists want their proofs to be constructive. The notion of a constructive proof is, however, by no means restricted solely to intuitionistic or other forms of ‘constructivist’ mathematics: the distinction between constructive and non-constructive proofs arises within classical mathematics, and is perfectly intelligible from a completely platonistic standpoint.

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Available abstract

Abstract What everyone who has heard of intuitionism knows is that intuitionists want their proofs to be constructive. The notion of a constructive proof is, however, by no means restricted solely to intuitionistic or other forms of ‘constructivist’ mathematics: the distinction between constructive and non-constructive proofs arises within classical mathematics, and is perfectly intelligible from a completely platonistic standpoint.

Key concepts: Constructive, Intuitionism, Mathematical proof, Constructive proof, Mathematics, Calculus (dental), Epistemology, Algebra over a field

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