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Ideas for 'Necessary Existents', 'A Structural Account of Mathematics' and 'Writing the Book of the World'

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8 ideas

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

14980

There is a real issue over what is the 'correct' logic [Sider]

15000

'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

15020

Classical logic is good for mathematics and science, but less good for natural language [Sider]

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

15029

Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

15019

Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]

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

15001

'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]

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]