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Ideas for 'A Structural Account of Mathematics', 'Vagueness' and 'Constitutional Code I'

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7 ideas

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

21611

Formal semantics defines validity as truth preserved in every model [Williamson]

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

21606

'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

21605

Excluded Middle is 'A or not A' in the object language [Williamson]

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

9561	The mathematics of relations is entirely covered by ordered pairs [Chihara]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

21612

Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]

5. Theory of Logic / K. Features of Logics / 2. Consistency

9552	Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

21599

A sorites stops when it collides with an opposite sorites [Williamson]