Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'The Laws of Thought' and 'Semantic Necessity'

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12 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 / A. Overview of Logic / 3. Value of Logic
9390 Logic guides thinking, but it isn't a substitute for it [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
14620 Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
22277 Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
9389 Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
14530 The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A]
19. Language / C. Assigning Meanings / 2. Semantics
14618 Semantics is either an assignment of semantic values, or a theory of truth [Fine,K]
14621 Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
14622 Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
14619 The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K]