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Philosophy 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.

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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 Item Summary Meta data
I 272f
Opaque verb: "hunts lions" is nothing in relation, does not refer to a lion - relative term police chasing a man.
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I 361
Abstraction of relations, propositions and properties: opaque (> planets-example).
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I 295
Properties, relations: are meaning of timeless open sentences - is unidentifiable (like >propositions).
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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.
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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.
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I 462
Nominalism: cannot use relations, classes, etc. ("ancestor", "successor", "greater than", "the same number of", quantification) - but there are stages of renunciation.
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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.


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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.
The note [Author1]Vs[Author2] or [Author]Vs[term] 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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Ed. Martin Schulz, access date 2020-05-28
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