Combining Philosophers

Ideas for Alistair Mitchell, E.J. Lowe and Mark Fisher

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8 ideas

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

4240	It might be argued that mathematics does not, or should not, aim at truth [Lowe]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

8297	Numbers are universals, being sets whose instances are sets of appropriate cardinality [Lowe]

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

8266	Simple counting is more basic than spotting that one-to-one correlation makes sets equinumerous [Lowe]

8302	Fs and Gs are identical in number if they one-to-one correlate with one another [Lowe]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

8298	Sets are instances of numbers (rather than 'collections'); numbers explain sets, not vice versa [Lowe]

8311	If 2 is a particular, then adding particulars to themselves does nothing, and 2+2=2 [Lowe]

4241	If there are infinite numbers and finite concrete objects, this implies that numbers are abstract objects [Lowe]

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

8310	Does the existence of numbers matter, in the way space, time and persons do? [Lowe]