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| 15649 | In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach] |
| Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources. |
| 19171 | Tarski's truth is like rules for winning games, without saying what 'winning' means [Dummett, by Davidson] |
| Full Idea: Tarski's definition of truth is like giving a definition of what it is to win in various games, without giving a hint as to what winning is (e.g. that it is what one tries to do when playing). | |
| From: report of Michael Dummett (Truth [1959]) by Donald Davidson - Truth and Predication 7 | |
| A reaction: This led Dummett to his 'normative' account of truth. Formally, the fact that speakers usually aim at truth seems irrelevant, but in life you certainly wouldn't have grasped truth if you thought falsehood was just as satisfactory. The world is involved. |