Combining Philosophers

All the ideas for Oswald Veblen, Edward N. Zalta and Paul J. Cohen

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6 ideas

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 / 10. Constructivism / a. Constructivism

14248

We could accept the integers as primitive, then use sets to construct the rest [Cohen]

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta

10414

Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]

10558

Abstract objects are actually constituted by the properties by which we conceive them [Zalta]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

10415

Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]

18. Thought / E. Abstraction / 2. Abstracta by Selection

10557

Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]