more from Theodore Sider

Single Idea 13699

[catalogued under 5. Theory of Logic / K. Features of Logics / 6. Compactness]

Full Idea

Compactness is intuitively surprising, ..because one might have thought there could be some contradiction latent within some infinite set, preventing it from being satisfiable, only discovered when you consider the whole set. But this can't happen.

Gist of Idea

Compactness surprisingly says that no contradictions can emerge when the set goes infinite


Theodore Sider (Logic for Philosophy [2010], 4.5)

Book Reference

Sider,Theodore: 'Logic for Philosophy' [OUP 2010], p.105