Combining Philosophers

All the ideas for Phil Dowe, George Boole and Seymour Lipschutz

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8 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
26. Natural Theory / C. Causation / 4. Naturalised causation
Physical causation consists in transference of conserved quantities [Dowe, by Mumford/Anjum]
Causation interaction is an exchange of conserved quantities, such as mass, energy or charge [Dowe, by Psillos]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Dowe commends the Conserved Quantity theory as it avoids mention of counterfactuals [Dowe, by Psillos]