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Single Idea 10819

[filed under theme 5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth ]

Full Idea

Model theory must choose the denotations of the primitives so that all of a group of sentences come out true, so we need a theory of how the truth value of a sentence depends on the denotation of its primitive nonlogical parts, which Tarski gives us.

Gist of Idea

Tarski gives us the account of truth needed to build a group of true sentences in a model

Source

Hartry Field (Tarski's Theory of Truth [1972], §1)

Book Ref

'The Nature of Truth', ed/tr. Lynch, Michael P. [MIT 2001], p.369


The 9 ideas from 'Tarski's Theory of Truth'

Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]
Tarski just reduced truth to some other undefined semantic notions [Field,H]
Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
In the early 1930s many philosophers thought truth was not scientific [Field,H]
The notion of truth is to help us make use of the utterances of others [Field,H]
'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
Model theory is unusual in restricting the range of the quantifiers [Field,H]