### Single Idea 9518

#### [catalogued under 4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL]

Full Idea

A 'theorem' of logic is the conclusion of a provable sequent in which the number of assumptions is zero.

Gist of Idea

A 'theorem' is the conclusion of a provable sequent with zero assumptions

Source

E.J. Lemmon (Beginning Logic [1965], 2.2)

Book Reference

Lemmon,E.J.: 'Beginning Logic' [Nelson 1979], p.50

A Reaction

This is what Quine and others call a 'logical truth'.

Related Idea

Idea 13689
'Theorems' are formulas provable from no premises at all **[Sider]**