green numbers give full details | back to texts | unexpand this idea
17622 | We come to believe mathematical propositions via their grounding in the structure |
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. | |||
From: Tyler Burge (Frege on Knowing the Foundations [1998], 3) | |||
A reaction: This generalises to doubting something until you see what grounds it. |