more from William D. Hart

Single Idea 13505

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

Full Idea

Modern model theory investigates which set theoretic structures are models for which collections of sentences.

Gist of Idea

Model theory studies how set theory can model sets of sentences


William D. Hart (The Evolution of Logic [2010], 4)

Book Reference

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.108

A Reaction

So first you must choose your set theory (see Idea 13497). Then you presumably look at how to formalise sentences, and then look at the really tricky ones, many of which will involve various degrees of infinity.

Related Idea

Idea 13497 Nowadays ZFC and NBG are the set theories; types are dead, and NF is only useful for the whole universe [Hart,WD]