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Single Idea 19314
[filed under theme 3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
]
Full Idea
Tarski, a physicalist, reduced semantics to physical and/or logicomathematical concepts. He defined all semantic concepts, save satisfaction, in terms of truth. Then truth is defined in terms of satisfaction, and satisfaction is given non-semantically.
Gist of Idea
For physicalism, reduce truth to satisfaction, then define satisfaction as physical-plus-logic
Source
report of Alfred Tarski (The Concept of Truth for Formalized Languages [1933]) by Richard L. Kirkham - Theories of Truth: a Critical Introduction 5.1
Book Ref
Kirkham,Richard L.: 'Theories of Truth: a Critical Introduction' [MIT 1995], p.142
A Reaction
The term 'logicomathematical' is intended to cover set theory. Kirkham says you can remove these restrictions from Tarski's theory, and the result is a version of the correspondence theory.
The
18 ideas
with the same theme
['satisfaction' as a means of defining truth]:
14454
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An argument 'satisfies' a function φx if φa is true
[Russell]
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19184
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The best truth definition involves other semantic notions, like satisfaction (relating terms and objects)
[Tarski]
|
19191
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Specify satisfaction for simple sentences, then compounds; true sentences are satisfied by all objects
[Tarski]
|
15410
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Truth only applies to closed formulas, but we need satisfaction of open formulas to define it
[Burgess on Tarski]
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18811
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Tarski uses sentential functions; truly assigning the objects to variables is what satisfies them
[Tarski, by Rumfitt]
|
15365
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We can define the truth predicate using 'true of' (satisfaction) for variables and some objects
[Tarski, by Horsten]
|
19314
|
For physicalism, reduce truth to satisfaction, then define satisfaction as physical-plus-logic
[Tarski, by Kirkham]
|
19316
|
Insight: don't use truth, use a property which can be compositional in complex quantified sentence
[Tarski, by Kirkham]
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19175
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Tarski gave axioms for satisfaction, then derived its explicit definition, which led to defining truth
[Tarski, by Davidson]
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19146
|
Satisfaction is a sort of reference, so maybe we can define truth in terms of reference?
[Davidson]
|
19145
|
We can explain truth in terms of satisfaction - but also explain satisfaction in terms of truth
[Davidson]
|
19174
|
Axioms spell out sentence satisfaction. With no free variables, all sequences satisfy the truths
[Davidson]
|
10817
|
Tarski just reduced truth to some other undefined semantic notions
[Field,H]
|
19319
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If one sequence satisfies a sentence, they all do
[Kirkham]
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19318
|
A 'sequence' of objects is an order set of them
[Kirkham]
|
13504
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Truth for sentences is satisfaction of formulae; for sentences, either all sequences satisfy it (true) or none do
[Hart,WD]
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13634
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Satisfaction is 'truth in a model', which is a model of 'truth'
[Shapiro]
|
19128
|
If a language cannot name all objects, then satisfaction must be used, instead of unary truth
[Halbach/Leigh]
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