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Philosophy Dictionary of Arguments

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Equivalence: Relation between sentences. It exists if both sides have the same truth value, so that they are both true or both false.

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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.

 
Author Concept Summary/Quotes Sources

Peter Geach on Equivalence - Dictionary of Arguments

I 189f
Equivalence/Biconditional/GeachVsBlack: "is material equivalent" is not synonymous with "if and only if".
Writing: (symbol with three lines) ≡ is often read as "materially equivalent".
Equivalence exists only between sentences, not the names of sentences.
Problem: "Tom loves Mary ↔ Mary loves Tom" is only significant if "≡" (three lines) is read as "iff" (if and only if) rather than "materially equivalent"(⇔).


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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. 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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Ed. Martin Schulz, access date 2022-11-30
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