Combining Philosophers

Ideas for Paul Audi, Charles Sanders Peirce and Bob Hale

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14 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
14780 Only study logic if you think your own reasoning is deficient [Peirce]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
19296 If second-order variables range over sets, those are just objects; properties and relations aren't sets [Hale]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
19237 Deduction is true when the premises facts necessarily make the conclusion fact true [Peirce]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
19256 Our research always hopes that reality embodies the logic we are employing [Peirce]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
21493 Pure mathematics deals only with hypotheses, of which the reality does not matter [Peirce]
14783 Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
19289 Maybe conventionalism applies to meaning, but not to the truth of propositions expressed [Hale]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
19102 Bivalence is a regulative assumption of enquiry - not a law of logic [Peirce, by Misak]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
19238 The logic of relatives relies on objects built of any relations (rather than on classes) [Peirce]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
10316 We should decide whether singular terms are genuine by their usage [Hale]
10312 Often the same singular term does not ensure reliable inference [Hale]
10313 Plenty of clear examples have singular terms with no ontological commitment [Hale]
10322 If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
19298 Unlike axiom proofs, natural deduction proofs needn't focus on logical truths and theorems [Hale]