The Revision Theory of TruthIn this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its pathological features fall into a simple understandable pattern. The Revision Theory of Truth is unique in placing truth in the context of a general theory of definitions. This theory makes sense of arbitrary systems of mutually interdependent concepts, of which circular concepts, such as truth, are but a special case. |
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Contents
The Problem of Truth and Paradox | 1 |
Some Basic Facts | 33 |
2B Definability and Indefinability of Truth | 49 |
2C Coherent Complete Partial Orders | 63 |
2E The Extended Weak Kleene Scheme | 80 |
3C The Signification Thesis | 104 |
A General Theory of Definitions | 145 |
5C Revision Sequences and Their Properties | 166 |
5D The Semantical Systems S and S | 182 |
Truth Categoricalness and Necessity | 199 |
Rich SelfReference | 218 |
6E The Logical Grammar of Necessity | 236 |
Truth and Other Circular Concepts | 253 |