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Ideas for 'Metaphysics: the logical approach', 'Logic for Philosophy' and 'The Metaontology of Abstraction'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

3332	Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

3330	Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]

3337	Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

13701

A single second-order sentence validates all of arithmetic - but this can't be proved axiomatically [Sider]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

12225

Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

12224

Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]