Economics Dictionary of ArgumentsHome
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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. | |||
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Bertrand Russell on Relations - Dictionary of Arguments
Geach I 320ff Relation/Principia Mathematica(1)/Russell/Geach: sentences of the form "Fab" must be treated as individual copies of the form "Ya", i.e. a sentence that says how A is related to B is a particular type of the predication of a. Quine: E.g. Edith envies everyone who is happier than Edith - Herbert is not happier than anyone who envies Herbert; so we prove that Herbert is not happier than Edith. Solution: addition of assumptions: either A "Edith envies Herbert" or B ..."does not". Problem: in A "envies Herbert" it is a term, in B "happier than Edith". We cannot form a predicate with a name as we need it. Therefore the relations must be predicative. >Predicativeness, >Impredicativeness. Relational propositions make predications about the related things A and B. - Then it makes sense to say that there is something in A which answers the predication, but if we apply the same sentence to B, there is nothing that answers the relation. It is unnatural to regard the state of "being envied" as a property of Herbert. - - - Russell I 48 Relation/Russell: D"R: class of all terms that have the relation R to this or that thing. - R"y": "the R of y": "the father of y". 1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press._____________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. |
Russell I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 Russell II B. Russell The ABC of Relativity, London 1958, 1969 German Edition: Das ABC der Relativitätstheorie Frankfurt 1989 Russell IV B. Russell The Problems of Philosophy, Oxford 1912 German Edition: Probleme der Philosophie Frankfurt 1967 Russell VI B. Russell "The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202 German Edition: Die Philosophie des logischen Atomismus In Eigennamen, U. Wolf (Hg), Frankfurt 1993 Russell VII B. Russell On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit" In Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 Gea I P.T. Geach Logic Matters Oxford 1972 Russell VII B. Russell On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit" In Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 |
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