Single Idea 10985

[catalogued under 5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics]

Full Idea

Those who believe mathematics goes beyond logic use that fact to argue that classical logic is right to exclude second-order logic.

Gist of Idea

We should exclude second-order logic, precisely because it captures arithmetic

Source

Stephen Read (Thinking About Logic [1995], Ch.2)

Book Reference

Read,Stephen: 'Thinking About Logic' [OUP 1995], p.54

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