9 ideas
15327 | Kripke's semantic theory has actually inspired promising axiomatic theories [Kripke, by Horsten] |
Full Idea: Kripke has a semantic theory of truth which has inspired promising axiomatic theories of truth. | |
From: report of Saul A. Kripke (Outline of a Theory of Truth [1975]) by Leon Horsten - The Tarskian Turn 01.2 | |
A reaction: Feferman produced an axiomatic version of Kripke's semantic theory. |
15343 | Kripke offers a semantic theory of truth (involving models) [Kripke, by Horsten] |
Full Idea: One of the most popular semantic theories of truth is Kripke's theory. It describes a class of models which themselves involve a truth predicate (unlike Tarski's semantic theory). | |
From: report of Saul A. Kripke (Outline of a Theory of Truth [1975]) by Leon Horsten - The Tarskian Turn 02.3 | |
A reaction: The modern versions explored by Horsten are syntactic versions of this, derived from Feferman's axiomatisation of the Kripke theory. |
14967 | Certain three-valued languages can contain their own truth predicates [Kripke, by Gupta] |
Full Idea: Kripke showed via a fixed-point argument that certain three-valued languages can contain their own truth predicates. | |
From: report of Saul A. Kripke (Outline of a Theory of Truth [1975]) by Anil Gupta - Truth | |
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'. |
14966 | The Tarskian move to a metalanguage may not be essential for truth theories [Kripke, by Gupta] |
Full Idea: Kripke established that, contrary to the prevalent Tarskian dogma, attributions of truth do not always force a move to a metalanguage. | |
From: report of Saul A. Kripke (Outline of a Theory of Truth [1975], 5.1) by Anil Gupta - Truth | |
A reaction: [Gupta also cites Martin and Woodruff 1975] |
16328 | Kripke classified fixed points, and illuminated their use for clarifications [Kripke, by Halbach] |
Full Idea: Kripke's main contribution was …his classification of the different consistent fixed points and the discussion of their use for discriminating between ungrounded sentences, paradoxical sentences, and so on. | |
From: report of Saul A. Kripke (Outline of a Theory of Truth [1975]) by Volker Halbach - Axiomatic Theories of Truth 15.1 |
8510 | 'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC] |
Full Idea: 'Socrates is wise' means that the concurrence sum (Socrates) includes a trope which is a member of the similarity set (Wisdom). | |
From: Donald C. Williams (On the Elements of Being: I [1953], p.119) | |
A reaction: Resemblance has to be taken as a basic (and presumably unanalysable) concept, which invites Russell's objection (Idea 4441). |
8508 | A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC] |
Full Idea: I shall divert the word 'trope' to stand for the abstract particular which is, so to speak, the occurrence of an essence. | |
From: Donald C. Williams (On the Elements of Being: I [1953], p.115) | |
A reaction: Thus tropes entered philosophical discussion. Presumably the precedent for an 'abstract particular' would be a particular occurrence of the number 7. |
8509 | A world is completely constituted by its tropes and their connections [Williams,DC] |
Full Idea: Any possible world, and hence, of course, this one, is completely constituted by its tropes and connections of location and similarity. | |
From: Donald C. Williams (On the Elements of Being: I [1953], p.116) | |
A reaction: Note that Williams regularly referred to possible worlds in 1953. This is a full-blooded trope theory, which asserts that objects are bundles of tropes, so that both particulars and universals are ontologically taken care of. |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |