Ilkka Niiniluoto,
TARSKI´S DEFINITION AND TRUTH-MAKER

Abstract:

A hallmark of correspondence theories of truth is the principle that sentences
are made true by some truth-makers. A well-known objection to treating Tarski´s
definition of truth as a correspondence theory is put forward by Donald
Davidson. He argues that Tarski´s approach does not relate sentences to any
entitities (like facts) to which true sentences might correspond.

From the historical viewpoint, it is interesting to observe that Tarski´s
philosophical teacher Tadeusz Kotarbinski advocated an ontological doctrine of
reism which accepted only concrete individuals and rejected all such abstract
entities as facts, states of affairs, properties, and sets. Kotarbinski´s
physicalism influenced Tarski who avoided concepts like "fact" and "property"
in his theory of truth. In his 1933 definition, Tarski assumed that truth is
defined relative to the "domain of all objects", but - unlike Kotarbinski - he
used freely set-theoretical terminology. In his 1935 definition of logical
consequence, Tarski defined the concept of "model" as a sequence of objects
that satisfies a formula with free individual and predicate variables.

In his mature work in model theory in the 1950s, Tarski used systematically the
notion of a "relational system" (i.e., a domain of objects with designated
elements, subsets, and relations). Wilfrid Hodges has argued that the notions
of "structure" and "truth" in a structure appeared in Tarski´s work only in
1952. In my view, one can find the main ingredients of the model-theoretic
account of truth already in the 1930s. These considerations suggest, against
Davidson, that Tarski´s definition presupposes that truth is always related to
some kind of truth-maker.
 
 
 

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