Combining Texts

All the ideas for 'Mathematics without Numbers', 'Epistemic Two-Dimensional Semantics' and 'The Laws of Thought'

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9 ideas

3. Truth / D. Coherence Truth / 1. Coherence Truth
14713 Truth in a scenario is the negation in that scenario being a priori incoherent [Chalmers]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8083 Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
7727 Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
8686 Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
22277 Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
14712 A sentence is a priori if no possible way the world might actually be could make it false [Chalmers]