Combining Philosophers

All the ideas for Oswald Veblen, Terence Parsons and Paul Bernays

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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 / A. Overview of Logic / 2. History of Logic

10247

We have no adequate logic at the moment, so mathematicians must create one [Veblen]

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]

9. Objects / A. Existence of Objects / 4. Impossible objects

18948

There is an object for every set of properties (some of which exist, and others don't) [Parsons,T, by Sawyer]