Psychology Dictionary of Arguments

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Relations, philosophy: relations are that what can be discovered or produced in objects or states when compared to other objects or other states with regard to a selected property. For example, dimensional differences between objects A and B, which are placed into a linguistic order with the expression "larger" or "smaller" as a link, are determinations of relations which exist between the objects. Identity or equality is not accepted as a relation by most authors. See also space, time, order, categories, reflexivity, symmetry, transitivity.
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

Peter Geach on Relations - Dictionary of Arguments

I 217
Relation/Geach: instead of a class: solution for problems: a class cannot be an object (>paradoxes).
, >Classes/Geach.
Relation: E.g. a knife is positioned next to each plate - E.g. Father-Son-Grandson: same relation, but there is no common object - (sets must not be treated as an object).
>Object, >Set.
I 249
Relation/Geach: "higher" is logically the same relation to whether one means houses or sounds - but that does not mean that we only have to learn one relation.
>Identification, >Identity, >Levels/Order, >Description levels.
I 294
Relation/GeachVsTwo-names-theory/TNT: for them, there is no relation > Ockham: therefore, there are only relative terms for it: as names of things:
Problem: "Father of Solomon," "Son of Isaac," how would that be distinguished between "Father of Isaac", "Son of Solomon"?.
Ockham/Trinity: because he rejects relations in rebus, Ockham cannot do anything about the fact that it is contradictory that a thing is one and three at the same time.
Thomas AquinasVsOckham: Thomas can do this: for him "res" is transcendental (transversal): at the same time res absoluta and applicable to relations.
>William of Ockham, >Thomas Aquinas.
I 318f
Relation/relational propositions/Geach: it is false that such propositions could not be analyzed according to subject/predicate. - As if no predication was made, but only a relation between A and B was shown.
Then the two sentences a) and b) by Thomas could not be distinguished.
Geach: this shows that access to relations cannot be established via the word "between".

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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