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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. | |||
Author | Concept | Summary/Quotes | Sources |
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W.V.O. Quine on Relations - Dictionary of Arguments
I 272f Opaque verb: "hunts lions" is nothing in relation, does not refer to a lion - relative term police chasing a man. --- I 361 Abstraction of relations, propositions and properties: opaque (> planets-example). --- I 295 Properties, relations: are meaning of timeless open sentences - is unidentifiable (like >propositions). --- I 362 Elimination of relations and properties in favor classes of ordered pairs, open sentences, general terms - even scattered objects (in the case of colors) Relativity: additional dimension: space-time: Point moments are absolutely different, independent of relative movement of the viewpoint. --- I 439 Abstract term "Equator", etc: can and should be reformulated. "Closer to the equator than": Relative Term - Or: by position of the sun - four-dimensional Space-Time coordinates (quintuple, hyper bodies, not Cartesian)>reintroduction of geomtretric object at the space-time points. --- I 462 Nominalism: cannot use relations, classes, etc. ("ancestor", "successor", "greater than", "the same number of", quantification) - but there are stages of renunciation. --- IX 17 IX 17 Relations/Quine: connex: ∀x∀y[x,y ε (R U ^R)''ϑ › x(R U ^R U I)y, - ((s) (R U ^R U I): E.g. "greater or smaller or equal". (>Law of comparability, trichotomy).) reflexive: ∀x∀y[x,y e(R n U ^R)''ϑ > xRx irreflexive: R <≤_I, symmetric: R = ^R asymmetric: R =_^R antisymmetric: R ∩ ^R ≤ I transitive: R I R ≤ R intransitive: R I R ≤ _R. IX 43 Relations/Quine: classes of classes. - Namely simulated by the class of all ordered pairs with Fxy._____________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. |
Quine I W.V.O. Quine Word and Object, Cambridge/MA 1960 German Edition: Wort und Gegenstand Stuttgart 1980 Quine II W.V.O. Quine Theories and Things, Cambridge/MA 1986 German Edition: Theorien und Dinge Frankfurt 1985 Quine III W.V.O. Quine Methods of Logic, 4th edition Cambridge/MA 1982 German Edition: Grundzüge der Logik Frankfurt 1978 Quine V W.V.O. Quine The Roots of Reference, La Salle/Illinois 1974 German Edition: Die Wurzeln der Referenz Frankfurt 1989 Quine VI W.V.O. Quine Pursuit of Truth, Cambridge/MA 1992 German Edition: Unterwegs zur Wahrheit Paderborn 1995 Quine VII W.V.O. Quine From a logical point of view Cambridge, Mass. 1953 Quine VII (a) W. V. A. Quine On what there is In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (b) W. V. A. Quine Two dogmas of empiricism In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (c) W. V. A. Quine The problem of meaning in linguistics In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (d) W. V. A. Quine Identity, ostension and hypostasis In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (e) W. V. A. Quine New foundations for mathematical logic In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (f) W. V. A. Quine Logic and the reification of universals In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (g) W. V. A. Quine Notes on the theory of reference In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (h) W. V. A. Quine Reference and modality In From a Logical Point of View, , Cambridge, MA 1953 Quine VII (i) W. V. A. Quine Meaning and existential inference In From a Logical Point of View, , Cambridge, MA 1953 Quine VIII W.V.O. Quine Designation and Existence, in: The Journal of Philosophy 36 (1939) German Edition: Bezeichnung und Referenz In Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 Quine IX W.V.O. Quine Set Theory and its Logic, Cambridge/MA 1963 German Edition: Mengenlehre und ihre Logik Wiesbaden 1967 Quine X W.V.O. Quine The Philosophy of Logic, Cambridge/MA 1970, 1986 German Edition: Philosophie der Logik Bamberg 2005 Quine XII W.V.O. Quine Ontological Relativity and Other Essays, New York 1969 German Edition: Ontologische Relativität Frankfurt 2003 Quine XIII Willard Van Orman Quine Quiddities Cambridge/London 1987 |
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