Combining Texts

All the ideas for 'The Raft and the Pyramid', 'works' and 'The Laws of Thought'

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12 ideas

2. Reason / A. Nature of Reason / 6. Coherence

8797	The negation of all my beliefs about my current headache would be fully coherent [Sosa]

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 / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5

7791	The simplest of the logics based on possible worlds is Lewis's S5 [Lewis,CI, by Girle]

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 / A. Necessity / 2. Nature of Necessity

11002

Equating necessity with informal provability is the S4 conception of necessity [Lewis,CI, by Read]

12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense

8794	There are very few really obvious truths, and not much can be proved from them [Sosa]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations

8796	A single belief can trail two regresses, one terminating and one not [Sosa]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique

8799	If mental states are not propositional, they are logically dumb, and cannot be foundations [Sosa]

8795	Mental states cannot be foundational if they are not immune to error [Sosa]

13. Knowledge Criteria / C. External Justification / 2. Causal Justification

8798	Vision causes and justifies beliefs; but to some extent the cause is the justification [Sosa]