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Ideas for '', 'Introduction to 'Virtues of Authenticity'' and 'Vagueness'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

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 / 2. Logical Connectives / a. Logical connectives

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

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

21599

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