Combining Philosophers

Ideas for Barry Smith, E.J. Lowe and Michael della Rocca

expand these ideas     |    start again     |     choose another area for these philosophers

display all the ideas for this combination of philosophers


8 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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
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
Simple counting is more basic than spotting that one-to-one correlation makes sets equinumerous [Lowe]
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
Sets are instances of numbers (rather than 'collections'); numbers explain sets, not vice versa [Lowe]
If 2 is a particular, then adding particulars to themselves does nothing, and 2+2=2 [Lowe]
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
Does the existence of numbers matter, in the way space, time and persons do? [Lowe]