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'What is Logic?st1=Ian Hacking', 'Dispositional Essentialism and the Laws of Nature' and 'What Required for Foundation for Maths?'
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7 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
17786
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The mainstream of modern logic sees it as a branch of mathematics [Mayberry]
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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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The various logics are abstractions made from terms like 'if...then' in English [Hacking]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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First-order logic only has its main theorems because it is so weak [Mayberry]
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13840
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First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
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13844
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A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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Second-order completeness seems to need intensional entities and possible worlds [Hacking]
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Only second-order logic can capture mathematical structure up to isomorphism [Mayberry]
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