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Single Idea 23288

[filed under theme 3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth ]

Full Idea

We have to wonder how we know that it is some single concept which Tarski indicates how to define for each of a number of well-behaved languages.

Gist of Idea

When Tarski defines truth for different languages, how do we know it is a single concept?

Source

Donald Davidson (Truth Rehabilitated [1997], P.11)

Book Ref

Davidson,Donald: 'Truth, Language and History' [OUP 2005], p.11


A Reaction

Davidson says that Tarski makes the assumption that it is a single concept, but fails to demonstrate the fact. This resembles Frege's Julius Caesar problem - of how you know whether your number definition has defined a number.


The 9 ideas with the same theme [using a separate language to define truth]:

We can't use a semantically closed language, or ditch our logic, so a meta-language is needed [Tarski]
The metalanguage must contain the object language, logic, and defined semantics [Tarski]
The language to define truth needs a finite vocabulary, to make the definition finite [Davidson]
When Tarski defines truth for different languages, how do we know it is a single concept? [Davidson]
'Snow is white' depends on meaning; whether snow is white depends on snow [Etchemendy]
Semantic theories have a regress problem in describing truth in the languages for the models [Horsten]
Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach]
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
Semantic theories need a powerful metalanguage, typically including set theory [Halbach/Leigh]