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Full Idea
Kripke showed via a fixed-point argument that certain three-valued languages can contain their own truth predicates.
Clarification
A fixed point occurs when a function outputs its input value
Gist of Idea
Certain three-valued languages can contain their own truth predicates
Source
report of Saul A. Kripke (Outline of a Theory of Truth [1975]) by Anil Gupta - Truth
Book Ref
'Blackwell Guide to Philosophical Logic', ed/tr. Goble,Lou [Blackwell 2001], p.94
A Reaction
[Gupta also cites Martin and Woodruff 1975] It is an odd paradox that truth can only be included if one adds a truth-value of 'neither true nor false'. The proposed three-valued system is 'strong Kleene logic'.
| 16328 | Kripke classified fixed points, and illuminated their use for clarifications [Kripke, by Halbach] |
| 15327 | Kripke's semantic theory has actually inspired promising axiomatic theories [Kripke, by Horsten] |
| 15343 | Kripke offers a semantic theory of truth (involving models) [Kripke, by Horsten] |
| 14967 | Certain three-valued languages can contain their own truth predicates [Kripke, by Gupta] |
| 14966 | The Tarskian move to a metalanguage may not be essential for truth theories [Kripke, by Gupta] |