more from JC Beall / G Restall

Single Idea 10696

[catalogued under 5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth]

Full Idea

If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.

Gist of Idea

A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises


JC Beall / G Restall (Logical Consequence [2005], 4)

Book Reference

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [], p.8

A Reaction

These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.