Combining Texts

All the ideas for 'No Understanding without Explanation', 'Some Puzzles of Ground' and 'Logicism, Some Considerations (PhD)'

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9 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
14263 Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412 Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
13413 We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411 If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415 An adequate account of a number must relate it to its series [Benacerraf]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
14262 Formal grounding needs transitivity of grounding, no self-grounding, and the existence of both parties [Fine,K]
11. Knowledge Aims / A. Knowledge / 2. Understanding
14365 Scientific understanding is always the grasping of a correct explanation [Strevens]
14368 We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]
14369 Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]