Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, JP Burgess / G Rosen and David Hume

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

9923	We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

8649	Two numbers are equal if all of their units correspond to one another [Hume]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

9925	Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]

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

9934	Number words became nouns around the time of Plato [Burgess/Rosen]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

2197	Reason assists experience in discovering laws, and in measuring their application [Hume]