Psychology Dictionary of ArgumentsHome
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| Element relation, element relationship: the existence of a number within a set. In the broader sense the existence of an object (urelement) within a set. The element relation is to be distinguished from the subset relation. See also sets, classes, subsets, elements, set theory, empty set, universal class, paradoxes._____________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 Element Relation - Dictionary of Arguments
I 53 Two-class theory/GeachVs: this theory is even worse than the Two-names theory. >Two-names theory. Two-class theory: E.g. the general term "philosopher" denotes "class of philosophers". - Socrates is then only a member of the class. >General term, >Denotation. GeachVs: the element relation is very different from the subclasses relation: E.g. A parliamentary committee is not a member of Parliament. >Element relation, >Subsets. But: "a philosopher" means the same in both applications. Copula: fallacy of division: as if two varieties existed: one for "is a philosopher" and one for "is an element of the class of philosophers". >Copula/Geach. Geach: equivalent sets must not be divided into equivalent subsets - "every logician" is not equivalent to "class of logicians". >Equivalent class._____________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 Element Relation
