Combining Texts

All the ideas for 'Presidential Address of Am. Math. Soc', 'Problems in Personal Identity' and 'Mathematical Truth'

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5 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]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

3299	In logic identity involves reflexivity (x=x), symmetry (if x=y, then y=x) and transitivity (if x=y and y=z, then x=z) [Baillie]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

9935	Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17927

Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]

9936	The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]