Single Idea 10605

[catalogued under 5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic]

Full Idea

We count two functions as being the same if they have the same extension, i.e. if they pair up arguments with values in the same way.

Gist of Idea

Two functions are the same if they have the same extension

Source

Peter Smith (Intro to Gödel's Theorems [2007], 11.3)

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.87

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A Reaction

So there's only one way to skin a cat in mathematical logic.