Combining Philosophers
Ideas for Hermarchus, Thomas M. Scanlon and Michael Potter
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5 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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We can formalize second-order formation rules, but not inference rules [Potter]
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5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
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Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter]
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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
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Deductivism can't explain how the world supports unconditional conclusions [Potter]
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5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
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Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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Modern logical truths are true under all interpretations of the non-logical words [Potter]
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