Single Idea 13471

[catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique]

Full Idea

The thesis that no existence proposition is analytic is one of the few constants in philosophical consciences, but there are many existence claims in mathematics, such as the infinity of primes, five regular solids, and certain undecidable propositions.

Gist of Idea

Mathematics makes existence claims, but philosophers usually say those are never analytic

Source

William D. Hart (The Evolution of Logic [2010], 2)

Book Reference

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.41