Single Idea 13827

[catalogued under 5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence]

Full Idea

Defining logical consequence in the way Tarski does is a rather meagre result, treating an argument as a black box, observing input and output, while disregarding inner structure. We should define logical consequence on the basis of valid arguments.

Gist of Idea

Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work


Dag Prawitz (On the General Idea of Proof Theory [1974], 2)

Book Reference

'A Philosophical Companion to First-Order Logic', ed/tr. Hughes,R.I.G. [Hackett 1993], p.217