Philosophy Lexicon of Arguments

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Equivalence class: is obtained from an equivalence relation (reflexive, symmetric, transitive). E.g. from dividing by 3 with remaining 2 2, 5, 8, 11 ... form an equivalence class. E.g. switch positions, e.g. weekdays form equivalence classes modulo 7.

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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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Books on Amazon
Wa I 169
Equivalence classes / today: to determine the nature of mathematical objects with equivalence classes, called "definition by abstraction" - then you replace "equal" by "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.

Wa I
F. Waismann
Einführung in das mathematische Denken Darmstadt 1996

Wa II
F. Waismann
Logik, Sprache, Philosophie Stuttgart 1976


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Ed. Martin Schulz, access date 2017-10-21