Tarski's truth definition: Difference between revisions

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==Definition==
'''Tarski's truth definition''' is a definition which formalizes the relation between a [[sentence]] and its [[truth value]]. The definition formalizes what Wittgenstein (1922) describes as:  
'''Tarski's truth definition''' is a definition which formalizes the relation between a [[sentence]] and its [[truth value]]. The definition formalizes what Wittgenstein (1922) describes as:  
  to understand a proposition means to know what is the case if it is true.  
  to understand a proposition means to know what is the case if it is true.  
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S is a structural description of a sentence of a language L, v is a circumstance which has to be met, and p are the conditions that describe how this circumstance should be met.
S is a structural description of a sentence of a language L, v is a circumstance which has to be met, and p are the conditions that describe how this circumstance should be met.


=== Example ===
== Example ==
 
The definition for sentence S in (i) has (partly) the form of (ii).
the definition for sentence S in (i) has (partly) the form of (ii).


  (ii) ''Snow is white'' is true iff Snow is white
  (ii) ''Snow is white'' is true iff Snow is white
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Tarski's truth definition is crucial to a denotational [[meaning theory]].
Tarski's truth definition is crucial to a denotational [[meaning theory]].


=== Links ===
== Links ==
 
*[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Tarski%27s+truth+definition&lemmacode=139 Utrecht Lexicon of Linguistics]
[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Tarski%27s+truth+definition&lemmacode=139 Utrecht Lexicon of Linguistics]
 
=== References ===


== References ==
* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.
* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.
* Tarski, A. 1944. ''The Semantic Conception of Truth,'' Philosophy and Phenomenological Research 4, 341-375
* Tarski, A. 1944. ''The Semantic Conception of Truth,'' Philosophy and Phenomenological Research 4, 341-375
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[[Category:Semantics]]
[[Category:Semantics]]


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Latest revision as of 07:11, 17 August 2014

Definition

Tarski's truth definition is a definition which formalizes the relation between a sentence and its truth value. The definition formalizes what Wittgenstein (1922) describes as:

to understand a proposition means to know what is the case if it is true. 

It has the following general form:

(i)  For any S in L and any v, S is true in v if and only if p.

S is a structural description of a sentence of a language L, v is a circumstance which has to be met, and p are the conditions that describe how this circumstance should be met.

Example

The definition for sentence S in (i) has (partly) the form of (ii).

(ii) Snow is white is true iff Snow is white

Tarski's truth definition is crucial to a denotational meaning theory.

References

  • Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
  • Tarski, A. 1944. The Semantic Conception of Truth, Philosophy and Phenomenological Research 4, 341-375
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