Philosophy Dictionary of ArgumentsHome
| |||
|
| |||
| Sets: a set is a summary of objects relating to a property. In the set theory, conditions are established for the formation of sets. In general, sets of numbers are considered. Everyday objects as elements of sets are special cases and are called primordial elements. Sets are, in contrast to e.g. sequences not ordered, i.e. no order is specified for the consideration of the elements. See also element relation, sub-sets, set theory, axioms._____________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 |
|---|---|---|---|
|
P. Geach on Sets - Dictionary of Arguments
I 215ff Classes/Geach: must not be treated as objects. >Objects. Solution: Relation/Geach: relation instead of a class: this is the solution to problems with paradoxes. A class may be no object. >Paradoxes. Relation: E.g. add a knife to each plate: - E.g. father-son-grandson: this is the same relation, but there is no common subject. >Relation. I 221 "is a..."/Geach: this is no logical relation between an x and an object (class) called "man". I 222 Classes/Geach: classes can be viewed as an object only when we say, "the class of A’s may be the same as the class of the B’s, although something is an A, without being a B"._____________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 |
||
Ed. Martin Schulz, access date 2024-04-24