### Single Idea 10283

#### [catalogued under 5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic]

Full Idea

To have a truth-value, a first-order formula needs an 'interpretation' (I) of its constants, and a 'valuation' (ν) of its variables. Something in the world is attached to the constants; objects are attached to variables.

Gist of Idea

A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables

Source

Wilfrid Hodges (First-Order Logic [2001], 1.3)

Book Reference

'Blackwell Guide to Philosophical Logic', ed/tr. Goble,Lou [Blackwell 2001], p.13