Combining Texts

All the ideas for 'Science and Method', 'Mathematical Truth' and 'Exigency to Exist in Essences'

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7 ideas

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

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

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 / 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]

7. Existence / A. Nature of Existence / 5. Reason for Existence

19400

Possibles demand existence, so as many of them as possible must actually exist [Leibniz]

19401

God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]

10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds

19402

The actual universe is the richest composite of what is possible [Leibniz]