more from Quentin Meillassoux

Single Idea 19663

[catalogued under 4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency]

Full Idea

For contemporary logicians, it is not non-contradiction that provides the criterion for what is thinkable, but rather inconsistency.

Gist of Idea

We can allow contradictions in thought, but not inconsistency


Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3)

Book Reference

Meillassoux: 'After Finitude: the necessity of contingency', ed/tr. Brassier,R [Bloomsbury 2008], p.77

A Reaction

The point is that para-consistent logic might permit isolated contradictions (as true) within a system, but it is only contradiction across the system (inconsistencies) which make the system untenable.