Philosophy Lexicon of Arguments

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Transitivity: here, we are concerned with the property of relations to be able to continue in the sense that if an a is in relation to a b and b is in relation to a c then a is in the same relation to c. Transitivity in sets means that an element of a subset is at the same time an element of the set containing this subset, or a subset M1 of a subset M2 is also a subset of the M2 containing set M3. See also relations.

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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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I 184
Transitivity / Geach: entailment is not transitive, but validity of evidence is. - FitchVs: evidence is not transitively valid to solve the paradoxes of set theory.


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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.

Gea I
P.T. Geach
Logic Matters Oxford 1972


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Ed. Martin Schulz, access date 2017-11-20