Tarski hierarchies

Erkenntnis 43 (3):339 - 367 (1995)
The general notions of object- and metalanguage are discussed and as a special case of this relation an arbitrary first order language with an infinite model is expanded by a predicate symbol T0 which is interpreted as truth predicate for . Then the expanded language is again augmented by a new truth predicate T1 for the whole language plus T0. This process is iterated into the transfinite to obtain the Tarskian hierarchy of languages. It is shown that there are natural points for stopping this process. The sets which become definable in suitable hierarchies are investigated, so that the relevance of the Tarskian hierarchy to some subjects of philosophy of mathematics are clarified.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01135378
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 15,865
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Tyler Burge (1979). Semantical Paradox. Journal of Philosophy 76 (4):169-198.

View all 16 references / Add more references

Citations of this work BETA
Volker Halbach (1997). Tarskian and Kripkean Truth. Journal of Philosophical Logic 26 (1):69-80.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

45 ( #74,232 of 1,724,889 )

Recent downloads (6 months)

3 ( #210,931 of 1,724,889 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.