Combining Texts

All the ideas for 'Science and Method', 'A Problem about Substitutional Quantification?' and 'On Platonism in Mathematics'

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

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5 ideas

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]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10792

The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]

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

10245

One geometry cannot be more true than another [Poincaré]

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]