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Single Idea 17624

[from 'Grundlagen der Arithmetik (Foundations)' by Gottlob Frege, in 5. Theory of Logic / K. Features of Logics / 1. Axiomatisation ]

Full Idea

Understanding the axioms depends not only on understanding Frege's elucidatory remarks about the interpretation of his symbols, but also on understanding their logical structure - their power to entail other truths, and their reason-giving priority.

Gist of Idea

To understand axioms you must grasp their logical power and priority

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], 4) by Tyler Burge - Frege on Knowing the Foundations 4

Book Reference

Burge,Tyler: 'Truth, Thought, Reason (on Frege)' [OUP 2001], p.355


A Reaction

This is a distinctively Burgean spin put on what Frege has to say about axioms, but I like it, and it seems well enough supported in Frege's writings (e.g. 1914).