Reasoning with truth

Journal of Philosophical Logic 39 (3):275 - 306 (2010)
Abstract
The aim of the paper is to formulate rules of inference for the predicate 'is true' applied to sentences. A distinction is recognised between (ordinary) truth and definite truth and consequently between two notions of validity, depending on whether truth or definite truth is the property preserved in valid arguments. Appropriate sets of rules of inference governing the two predicates are devised. In each case the consequence relation is in harmony with the respective predicate. Particularly appealing is a set of ND rules for ordinary truth in which premises and assumptions play different roles, premises being taken to assert definite truth, assumptions to suppose truth. This set of rules can be said to capture everyday reasoning with truth. Also presented are formal characterisations, in the meta-language and in the object language, of paradoxical and 'truth teller'-like sentences.
Keywords Truth  Definite truth  Truth-preserving inference  Tarski schema  Groundedness  Paradoxical sentence
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References found in this work BETA
Peter Eldridge-Smith (2007). Paradoxes and Hypodoxes of Time Travel. In Jan Lloyd Jones, Paul Campbell & Peter Wylie (eds.), Art and Time. Australian Scholarly Publishing. 172--189.
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
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