Combining Philosophers

All the ideas for Nuel D. Belnap, George Boole and Douglas Lackey

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8 ideas

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]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
21554 Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
21553 It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
19000 Read 'all ravens are black' as about ravens, not as about an implication [Belnap]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
17897 Analytic explanation is wholes in terms of parts; synthetic is parts in terms of wholes or contexts [Belnap]