Combining Philosophers

Ideas for Aeschylus, Roy Sorensen and Michael Potter

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9 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10704

We can formalize second-order formation rules, but not inference rules [Potter]

5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-

22279

Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter]

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

22291

Deductivism can't explain how the world supports unconditional conclusions [Potter]

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

9119	No attempt to deny bivalence has ever been accepted [Sorensen]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

9135	We now see that generalizations use variables rather than abstract entities [Sorensen]

5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions

10703

Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]

5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth

22295

Modern logical truths are true under all interpretations of the non-logical words [Potter]

5. Theory of Logic / L. Paradox / 3. Antinomies

9125	Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

9137	Banning self-reference would outlaw 'This very sentence is in English' [Sorensen]