## Philosophy Lexicon of Arguments | |||

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. | |||

Author | Item | Excerpt | Meta data |
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Logic Texts Books on Amazon |
Equivalence Class | IV 146 Def equivalence relation/W.Salmon: transitive, symmetric and reflexive. - E.g. congruence - an equivalence relation decomposes a set into a set of equivalence classes with no common elements. - E.g. The relation to have the same number of elements. With respect to this relation all sets that have two elements are equivalent: e.g. a pair of shoes, a team of horses, a couple, a pair of twins - E.g. siblings can be defined as follows: to have the same parents. An equivalence class with respect to this relation is then a number of children who have common parents. - (s)> numerical equality, - "Gleichortigkeit", the definition of number or location. - (s)> partial identity -> "respects", > "regards". |
Logic Texts Me I Albert Menne Folgerichtig Denken Darmstadt 1988 HH II Hoyningen-Huene Formale Logik, Stuttgart 1998 Re III Stephen Read Philosophie der Logik Hamburg 1997 Sal IV Wesley C. Salmon Logik Stuttgart 1983 Sai V R.M.Sainsbury Paradoxien Stuttgart 2001 |

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Ed. Martin Schulz, access date 2017-03-24