Psychology Dictionary of ArgumentsHome
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| Mereology: deals with the relationship between parts and the whole and systematizes the relations that can exist between them. A characteristic of mereology versus set theory is the same ontological status of parts and whole in mereology as opposed to the unequal status of set and element in the set theory. Thus, paradoxes can be avoided, such as those known e.g. with the universal-class or universal-set. See also part-of-relation, Russellian paradox, transitivity, extensibility, sum._____________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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H. Wessel on Mereology - Dictionary of Arguments
I 360ff Mereology/Wessel: Mereology is actually superfluous if one distinguishes between classes and clusters. There are no empty clusters. An accumulation of one part is identical with it. Class: A class (or set) is strictly to distinguish from its only element. >Unit set/Quine. Accumulation: is transitive: branch - tree - forest. Element relation: is not transitive. >Transitivity. Set: cannot be located. In contrast to this: An accumulation (aggregate): here the indication of coordinates is useful. >Sets, >Set theory, >Classes, >Mereology, >Objects, >Abstraction, >Class abstraction, >Element relation._____________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. |
Wessel I H. Wessel Logik Berlin 1999 |
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