Combining Philosophers

Ideas for Hermarchus, Roderick Chisholm and Timothy Williamson

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9 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

6858	Formal logic struck me as exactly the language I wanted to think in [Williamson]

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 / G. Quantification / 1. Quantification

18492

Not all quantification is either objectual or substitutional [Williamson]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

15136

Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15138

Not all quantification is objectual or substitutional [Williamson]

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]