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Ideas for 'Thinking About Mathematics', 'Virtue Ethics: an Introduction' and 'The Thesis that Mathematics is Logic'

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2 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

10066	Putnam coined the term 'if-thenism' [Putnam, by Musgrave]
	Full Idea: Putnam coined the term 'if-thenism'.
	From: report of Hilary Putnam (The Thesis that Mathematics is Logic [1967]) by Alan Musgrave - Logicism Revisited §5 n

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

8729	Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
	Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
	From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
	A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.