Philosophy Dictionary of ArgumentsHome
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| Transitivity: This concept is about the property of relations to be continuable in the sense that if a is in relation to b and b is in relation to c, then a is also in the same relation to c. Transitivity in sets means that an element of a subset is also an element of the set containing this subset or a subset M1 of a subset M2 is also a subset of the set M3 containing M2._____________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 Transitivity - Dictionary of Arguments
I 184 Transitivity/Geach: entailment is not transitive, but validity of evidence is. >Entailment/Geach, >Evidence, >Validity. FitchVs: evidence is not transitively valid to solve the paradoxes of set theory. >Paradoxes, >Set theory._____________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 Transitivity
Ed. Martin Schulz, access date 2024-04-16