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In this study two strands of inferentialism are brought together:
the philosophical doctrine of Brandom, according to which meanings
are generally inferential roles, and the logical doctrine
prioritizing proof-theory over model theory and approaching meaning
in logical, especially proof-theoretical terms.
The question how to turn the principles implicitly governing the
concept of truth into an explicit definition (or explication) of
the concept hence coalesced with the question how to get a finite
grip on the infinity of T-sentences. Tarski's famous and ingenious
move was to introduce a new concept, satisfaction, which could be,
on the one hand, recursively defined, and which, on the other hand,
straightforwardly yielded an explication of truth. A surprising
'by-product' of Tarski's effort to bring truth under control was
the breathtaking finding that truth is in a precisely defined sense
ineffable, that no non trivial language can contain a
truth-predicate which would be adequate for the very 4 language .
This implied that truth (and consequently semantic concepts to
which truth appeared to be reducible) proved itself to be strangely
'language-dependent' we can have a concept of truth-in-L for any
language L, but we cannot have a concept of truth applicable to
every language. In a sense, this means, as Quine (1969, p. 68) put
it, that truth belongs to "transcendental metaphysics," and
Tarski's 'scientific' investigations seem to lead us back towards a
surprising proximity of some more traditional philosophical views
on truth. 3. TARSKI'S THEORY AS A PARADIGM So far Tarski himself.
Subsequent philosophers then had to find out what his
considerations of the concept of truth really mean and what are
their consequences; and this now seems to be an almost interminable
task."
Doing Worlds with Words throws light on the problem of meaning as
the meeting point of linguistics, logic and philosophy, and
critically assesses the possibilities and limitations of
elucidating the nature of meaning by means of formal logic, model
theory and model-theoretical semantics. The main thrust of the book
is to show that it is misguided to understand model theory
metaphysically and so to try to base formal semantics on something
like formal metaphysics; rather, the book states that model theory
and similar tools of the analysis of language should be understood
as capturing the semantically relevant, especially inferential,
structure of language. From this vantage point, the reader gains a
new light on many of the traditional concepts and problems of logic
and philosophy of language, such as meaning, reference, truth and
the nature of formal logic.
In this study two strands of inferentialism are brought together:
the philosophical doctrine of Brandom, according to which meanings
are generally inferential roles, and the logical doctrine
prioritizing proof-theory over model theory and approaching meaning
in logical, especially proof-theoretical terms.
Doing Worlds with Words throws light on the problem of meaning as
the meeting point of linguistics, logic and philosophy, and
critically assesses the possibilities and limitations of
elucidating the nature of meaning by means of formal logic, model
theory and model-theoretical semantics. The main thrust of the book
is to show that it is misguided to understand model theory
metaphysically and so to try to base formal semantics on something
like formal metaphysics; rather, the book states that model theory
and similar tools of the analysis of language should be understood
as capturing the semantically relevant, especially inferential,
structure of language. From this vantage point, the reader gains a
new light on many of the traditional concepts and problems of logic
and philosophy of language, such as meaning, reference, truth and
the nature of formal logic.
The question how to turn the principles implicitly governing the
concept of truth into an explicit definition (or explication) of
the concept hence coalesced with the question how to get a finite
grip on the infinity of T-sentences. Tarski's famous and ingenious
move was to introduce a new concept, satisfaction, which could be,
on the one hand, recursively defined, and which, on the other hand,
straightforwardly yielded an explication of truth. A surprising
'by-product' of Tarski's effort to bring truth under control was
the breathtaking finding that truth is in a precisely defined sense
ineffable, that no non trivial language can contain a
truth-predicate which would be adequate for the very 4 language .
This implied that truth (and consequently semantic concepts to
which truth appeared to be reducible) proved itself to be strangely
'language-dependent' we can have a concept of truth-in-L for any
language L, but we cannot have a concept of truth applicable to
every language. In a sense, this means, as Quine (1969, p. 68) put
it, that truth belongs to "transcendental metaphysics," and
Tarski's 'scientific' investigations seem to lead us back towards a
surprising proximity of some more traditional philosophical views
on truth. 3. TARSKI'S THEORY AS A PARADIGM So far Tarski himself.
Subsequent philosophers then had to find out what his
considerations of the concept of truth really mean and what are
their consequences; and this now seems to be an almost interminable
task."
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