Combining Texts

All the ideas for 'Some Puzzles of Ground', 'works' and 'On Platonism in Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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6 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]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10304

Very few things in set theory remain valid in intuitionist mathematics [Bernays]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10303

Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

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

10306

Mathematical abstraction just goes in a different direction from logic [Bernays]

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]

9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance

10710

We accept substance, to avoid infinite backwards chains of meaning [Wittgenstein, by Potter]