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Ideas for 'works', 'LOT 2' and 'Philosophies of Mathematics'

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12 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
10111 Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
4730 For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
12664 A truth-table, not inferential role, defines 'and' [Fodor]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
12648 Names in thought afford a primitive way to bring John before the mind [Fodor]
12650 'Paderewski' has two names in mentalese, for his pianist file and his politician file [Fodor]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10129 A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10105 Differences between isomorphic structures seem unimportant [George/Velleman]
5. Theory of Logic / K. Features of Logics / 2. Consistency
12656 P-and-Q gets its truth from the truth of P and truth of Q, but consistency isn't like that [Fodor]
10119 Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman]
10126 A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman]
5. Theory of Logic / K. Features of Logics / 3. Soundness
10120 Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10127 A 'complete' theory contains either any sentence or its negation [George/Velleman]