Single Idea 16902

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic]

Full Idea

In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number.

Gist of Idea

Peano arithmetic requires grasping 0 as a primitive number

Source

Tyler Burge (Frege on Apriority (with ps) [2000], 5)

Book Reference

Burge,Tyler: 'Truth, Thought, Reason (on Frege)' [OUP 2001], p.385


A Reaction

Burge is pointing this out as a problem for Frege, for whom only the logic is primitive.