Full Idea
Frege's work supplied a set of axioms for logic itself, at least partly because it was a well-known way of presenting the foundations in other disciplines, especially mathematics, but it does not nowadays strike us as natural for logic.
Gist of Idea
Frege produced axioms for logic, though that does not now seem the natural basis for logic
Source
report of Gottlob Frege (Begriffsschrift [1879]) by David Kaplan - Dthat 5.1
Book Reference
Bostock,David: 'Intermediate Logic' [OUP 1997], p.191
A Reaction
What Bostock has in mind is the so-called 'natural' deduction systems, which base logic on rules of entailment, rather than on a set of truths. The axiomatic approach uses a set of truths, plus the idea of possible contradictions.