more from John Mayberry

### Single Idea 17791

#### [catalogued under 5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic]

Full Idea

Second-order logic is a powerful tool of definition: by means of it alone we can capture mathematical structure up to isomorphism using simple axiom systems.

Gist of Idea

Only second-order logic can capture mathematical structure up to isomorphism

Source

John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.412