Single Idea 14967

[catalogued under 3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth]

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 Reference

'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'.