Philosophy Dictionary of ArgumentsHome
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| General validity: within a calculus a formula that is satisfied by any interpretation (variable assignment with expressions for objects) is valid. See also satisfaction, satisfiability, interpretation._____________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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Benson Mates on Validity - Dictionary of Arguments
I 85 Validity/Mates: Not valid: E.g. Fa V x Fa. (Fa > Ga) > (~Fa > ~ Ga) (x) (Ey) Fxy > (Ey) (x) Fxy Here you can specify interpretations, where the statements are false. >Interpretation. Valid: φ is valid if φ is a consequence of the empty set L. I 88 This is trivially true, since (the reference set) L has not got any elements. >Validity, >Universal validity, >Truth, >Empty set._____________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. |
Mate I B. Mates Elementare Logik Göttingen 1969 Mate II B. Mates Skeptical Essays Chicago 1981 |
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Ed. Martin Schulz, access date 2024-04-20