Combining Philosophers

All the ideas for Jonathan Barnes, George Boole and Richard T.W. Arthur

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9 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]
10. Modality / B. Possibility / 1. Possibility
19378 Early modern possibility is what occurs sometime; for Leibniz, it is what is not contradictory [Arthur,R]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
19380 Occasionalism contradicts the Eucharist, which needs genuine changes of substance [Arthur,R]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9073 Abstraction from an ambiguous concept like 'mole' will define them as the same [Barnes,J]
9074 Abstraction cannot produce the concept of a 'game', as there is no one common feature [Barnes,J]
9072 Defining concepts by abstractions will collect together far too many attributes from entities [Barnes,J]