Combining Philosophers
Ideas for Eubulides, Nelson Goodman and Gerhard Gentzen
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9 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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11022
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Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
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5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
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12394
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If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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11065
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The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
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11023
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The logical connectives are 'defined' by their introduction rules [Gentzen]
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11213
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Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
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13832
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Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
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5. Theory of Logic / L. Paradox / 1. Paradox
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6007
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If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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6006
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If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
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6008
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Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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