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Single Idea 17927

[filed under theme 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism ]

Full Idea

Benacerraf argues that realists about mathematical objects have a nice normal semantic but no epistemology, and anti-realists have a good epistemology but an unorthodox semantics.

Gist of Idea

Realists have semantics without epistemology, anti-realists epistemology but bad semantics

Source

report of Paul Benacerraf (Mathematical Truth [1973]) by Mark Colyvan - Introduction to the Philosophy of Mathematics 1.2

Book Ref

Colyvan,Mark: 'An Introduction to the Philosophy of Mathematics' [CUP 2012], p.8

The 3 ideas from 'Mathematical Truth'

17927 Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
9935 Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
9936 The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]