Combining Texts

All the ideas for 'fragments/reports', 'The Laws of Thought' and 'The Semantic Tradition from Kant to Carnap'

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11 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]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

18270

Choice suggests that intensions are not needed to ensure classes [Coffa]

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]

12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic

18263

The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

18272

Platonism defines the a priori in a way that makes it unknowable [Coffa]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

18266

Mathematics generalises by using variables [Coffa]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time

18279

Relativity is as absolutist about space-time as Newton was about space [Coffa]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]