13343 | A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski] |
13826 | Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W] |
10481 | Models in model theory are structures, not sets of descriptions [Hodges,W] |
9968 | A model is 'fundamental' if it contains only concrete entities [Jubien] |
10827 | Model theory is unusual in restricting the range of the quantifiers [Field,H] |
13505 | Model theory studies how set theory can model sets of sentences [Hart,WD] |
13513 | Models are ways the world might be from a first-order point of view [Hart,WD] |
13511 | Model theory is mostly confined to first-order theories [Hart,WD] |
13512 | Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD] |
13644 | Semantics for models uses set-theory [Shapiro] |
10239 | The central notion of model theory is the relation of 'satisfaction' [Shapiro] |
10240 | Model theory deals with relations, reference and extensions [Shapiro] |
15411 | We only need to study mathematical models, since all other models are isomorphic to these [Burgess] |
15412 | Models leave out meaning, and just focus on truth values [Burgess] |
15416 | We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess] |
10903 | A structure models a sentence if it is true in the model, and a set of sentences if they are all true in the model [Zalabardo] |
13724 | In model theory, first define truth, then validity as truth in all models, and consequence as truth-preservation [Sider] |
10129 | A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman] |
5741 | If every model that makes premises true also makes conclusion true, the argument is valid [Melia] |
19207 | Sentence logic maps truth values; predicate logic maps objects and sets [Merricks] |
10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
10693 | Models are mathematical structures which interpret the non-logical primitives [Beall/Restall] |
13519 | Model theory uses sets to show that mathematical deduction fits mathematical truth [Wolf,RS] |
13531 | Model theory reveals the structures of mathematics [Wolf,RS] |
13532 | Model theory 'structures' have a 'universe', some 'relations', some 'functions', and some 'constants' [Wolf,RS] |
13533 | First-order model theory rests on completeness, compactness, and the Löwenheim-Skolem-Tarski theorem [Wolf,RS] |
18694 | Permutation Theorem: any theory with a decent model has lots of models [Button] |
10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
16323 | The object language/ metalanguage distinction is the basis of model theory [Halbach] |
18744 | Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |