Combining Texts

All the ideas for '', 'New Foundations for Mathematical Logic' and 'The Logical Structure of the World (Aufbau)'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9879 NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11211 If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11210 Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
11212 The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
14. Science / B. Scientific Theories / 1. Scientific Theory
18699 Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
12131 All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]
19. Language / F. Communication / 3. Denial
11214 We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]