Single Idea 17622

[catalogued under 5. Theory of Logic / K. Features of Logics / 1. Axiomatisation]

Full Idea

A deeper justification for believing in [mathematical] propositions [apart from pragmatism] lies in finding their place in a logicist proof structure, by understanding the grounds within this structure that support them.

Gist of Idea

We come to believe mathematical propositions via their grounding in the structure

Source

Tyler Burge (Frege on Knowing the Foundations [1998], 3)

Book Reference

Burge,Tyler: 'Truth, Thought, Reason (on Frege)' [OUP 2001], p.345


A Reaction

This generalises to doubting something until you see what grounds it.