Psychology Dictionary of ArgumentsHome
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| Multi-valued logic: a logic that assumes more than the two classical truth values true and false. There are trivalent logics with possibility or indeterminacy as a third value. For tetravalent logics there are e.g. ¼ or ¾ as additional values that introduce a gradation in the rating. In the case of infinite-valued logics, the truth values can be interpreted as probability values._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Peter Geach on Multi-valued Logic - Dictionary of Arguments
I 195 Multi-valued Logic/Geach: There is often a truth value X, that both p and ~ p have. >Truth value. Problem: Then also p.~ p has the value X: (simultaneous assertion of p and ~ p). Correctly: "it is just as likely that it will rain tomorrow, as it is likely that will not rain tomorrow". But "it’s raining" and "it is not raining" cannot have the same truth value, because then "it’s raining and it’s not raining" also has the same truth value - because the latter must be f. >Contradiction, >Multi-valued logic, Cf. >Dialethism, >Probability._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
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> Counter arguments against Geach
> Counter arguments in relation to Multi-valued Logic
