green numbers give full details.     |    back to list of philosophers     |     unexpand these ideas

Ideas of Robin Waterfield, by Text

[British, fl. 1995, Freelance translator and classical scholar.]

1987 Introduction to 'Hippias Minor'
p.44 p.17 A mathematical object exists if there is no contradiction in its definition
     Full Idea: A mathematical object exists provided there is no contradiction implied in its definition.
     From: Robin Waterfield (Introduction to 'Hippias Minor' [1987], p.44), quoted by Charles Chihara - A Structural Account of Mathematics 1.4
     A reaction: A rather bizarre criterion for existence. Not one, for example, that you would consider applying to the existence of physical objects! But then Poincaré is the father of 'conventionalism', rather than being a platonist.