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'Thinking About Mathematics', 'Set Theory and its Logic' and 'works'
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5 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
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The logical connectives are 'defined' by their introduction rules [Gentzen]
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Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
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