|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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Opaque verb: "hunts lions" is nothing in relation, does not refer to a lion - relative term police chasing a man.
Abstraction of relations, propositions and properties: opaque (planets)~.
Properties, relations: are meaning of timeless open sentences - is unidentifiable (like propositions).
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.
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.
Nominalism: cannot use relations, classes, etc. ("ancestor", "successor", "greater than", "the same number of", quantification) - but there are stages of renunciation.
Relations/Quine: connex: "x"y[x,y e (R U ^R)" " J > x(R U ^R U I)y, - (s) (R U ^R U I): E.g. "is greater than or smaller than or equal". (>Law of comparability) - reflexive: "x"y[x,y e(R n U ^R)" " J > xRx - irreflexive: R < _I, - symmetrical: R = ^R - asymmetrical: R._____________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.
Wort und Gegenstand Stuttgart 1980
Theorien und Dinge Frankfurt 1985
Grundzüge der Logik Frankfurt 1978
Mengenlehre und ihre Logik Wiesbaden 1967
Die Wurzeln der Referenz Frankfurt 1989
Unterwegs zur Wahrheit Paderborn 1995
From a logical point of view Cambridge, Mass. 1953
Bezeichnung und Referenz
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982
Philosophie der Logik Bamberg 2005
Ontologische Relativität Frankfurt 2003