Single Idea 10475

[catalogued under 5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models]

Full Idea

A 'structure' in model theory is an interpretation which explains what objects some expressions refer to, and what classes some quantifiers range over.

Gist of Idea

A 'structure' is an interpretation specifying objects and classes of quantification

Source

Wilfrid Hodges (Model Theory [2005], 1)

Book Reference

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.2


A Reaction

He cites as examples 'first-order structures' used in mathematical model theory, and 'Kripke structures' used in model theory for modal logic. A structure is also called a 'universe'.