Dictionary of Arguments


Philosophical and Scientific Issues in Dispute
 
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Pegasus Example Quine I 306 ff
Name: is a general term: > "=Socrates" "Is", the copula, the verb form does not create existence Fx. For us who know that Pegasus does not exist, the phrase "Pegasus flies" may not be true or false.
But there are sentences that contain Pegasus, and yet they are neither true nor false for us: For example "Homer believed in Pegasus" but in this case one can be of the opinion that the position is not descriptive.
For example in "Pegasus exists" the position of "Pegasus" is purely descriptive: certainly, if something like "Pegasus exists" is true, and then also Pegasus can be replaced by an equivalent description.

Measured on this scale, the position is purely indicative but peculiar:
I 307
a meaning of "(x)(x exists)" or (Ex)(x exists)" is hardly discernible.

Abundance: what embarrasses us here is perhaps too much "abundance" that "exists" if we already have "(Ex)" may not have any independent function in our vocabulary.
We understood "exists" as (Ex)(y=x) which applies to everything as well as "x=x". But there are also anomalies in this procedure. It seems strange that "Pegasus exists" should be wrong if "(x)(x exists)" is true and "Pegasus" takes a purely descriptive position. There is something wrong about granting Pegasus the purely descriptive position.
I 312
Pegasus Example/Non-Existence/Quine: (Ex) (x = Pegasus) wrong with Pegasus as a singular term - right: with Pegasus as a general term = Pegasus -  but: (Ex) (x is Pegasus) is wrong (for non-existence). >Existence/Quine, >General Terms/Quine, >Singular Terms/Quine.

VII (a) 3
Pegasus/Existence/Quine: if one denies its existence, one does not negate the idea - not the mental entity - Solution: Russell: are descriptions: the unanalyzed part "Author of Waverley" has not, as Wyman ((s) = Meinong) assumed, an objective reference - a whole sentence, containing a description can still be true or false (but only as a complete sentence).
Lauener XI 132
Pegasized/Socratized/Quine/Lauener: it should not be possible to eliminate a name in Russell’s way by paraphrasing it by a description. ((s) But this goes very well with Pegasus.) - One can assume an unanalysed, irreducible attribute of the "being-Pegasus", and re-express this with the verb ’is-Pegasus" or "pegasized" - so that we can use singular terms without having to assume that there are things they designate - ((s) "There is nothing that pegasizes".) "~(Ex) Fx".
Stalnaker I 55
Pegasus/QuineVsWyman/Quine: could exist - the round square could not.
Stalnmaker I 65
Wyman: Thesis: contradictions are meaningless - VsWyman: Stalnaker Quine, Lewis. Cf. >Unicorn example.

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


Q XI
H. Lauener
Willard Van Orman Quine München 1982

Stalnaker I
R. Stalnaker
Ways a World may be Oxford New York 2003
Truth Value Gaps Quine I 307
Truth Value Gap/Non-existence/Quine: We interpreted "exists" as (Ex)(y=x) which applies to everything just like "x=x". But also with this procedure anomalies result. It seems strange that "Pegasus exists" should be wrong if "(x)(x exists)" is true and "Pegasus" takes a purely descriptive position. Something is wrong if Pegasus is granted the purely descriptive position. >Descriptive position.
I 308
The sense should be that the term concerned is used exclusively to indicate an object about which the rest of the sentence can say something. We can call this "truth value gaps" (the expression comes from Strawson). With open sentences we have not been disturbed by the fact that they have no truth value, but they can already be recognized by the way they are written. Here the gaps are disturbing precisely because they are not recognizable. Perhaps best with trivalent logic ("undecidable")?
QuineVs: one does not assume that the difficulties come from a pedantic distinction between what is true and what is neither true nor false. If one were to summarize both categories under the rubric of the false, nothing would be gained.
For they are distinguished from one another by the fact that one category contains the negations of all their elements, while the other does not contain a single negation of their elements.
I 318
Singular descriptions "the", e.g. "the setting of the sun" Iota operator "i" (inverted, without dot) (ix)(...x...) "This x, for that applies" Here no synonymy is claimed by additional information (as in § 33). The logical theory made possible by the canonical framework treats ambiguous terms and indicator words as if they had fixed objects of reference.
I 319
Let us now compare the identity statement "y = (ix)(...x...)" with the quantification:
(1) (x)(...x...if and only if x = y)

can be read briefly as
"...y...and exclusively y".
If either (1) or the reformulation applies to an object y, both are probably true. Nevertheless, both may differ in their conditions of falsity with respect to truth values!
Because one can understand these gaps in such a way that "y = (ix)(...x...)" in relation to each object y has no truth value, if it applies to none,
while "...y....and exclusively y" is simply wrong in relation to any object, if it doesn't apply to any.
So we can simply put our aversion to gaps into action and equate "y = (ix)( ...x...) with "...y... and exclusively y" and accordingly fill the truth value gaps of "y = (ix)(...x..)" with the truth value incorrectly.
This step enables us to make the singular identifications disappear at all.
I 327
Definition/singular terms/truth value gaps/Quine: if we interpret definitions as instructions for the transformation of singular terms, we can avoid the annoyance of truth value gaps:
I 328
The definition of the singular descriptions is then simple as follows: Def Singular Description: Write
"y = (ix)(...x...)" and "(ix)(...x...) exists"
as notation variants of
"...y...and exclusively y."
And with recourse to §37: Write "(ix)(...x...) " as abbreviation of

(7) (Ey)[y = (ix)(...x...) and y ],

(In this representation, we have " y " as any open sentence.) If we apply the three parts of the above definition successively and repeatedly, they are sufficient to make "(ix)(...x...)" accessible again to any position where free variables may occur.
I 389/90
Conditional: the indicative conditional is unproblematic. In unquantified form "if p then q" it is perhaps best expressed as containing a truth value gap (§ 37) if its antecedence is false.(See also EFQ (ex falso quodlibet): ex falso quodlibet).
I 449
In the case of the indicative conditional, the initial problems are the truth value gaps and the ambiguity of the truth conditions. They are solved by being able to dispense with the indicative conditional in favor of a truth function.
I 447
StrawsonVsRussell: Strawson has misnamed Russell's theory of descriptions because of their treatment of truth value gaps.
III 282
Truth Value Gap/Quine: comes from everyday language, in logic we have to fill it. And be it arbitrary. Every sentence should have a truth value (true or false). >Everyday language.

XI 39
Canonical Notation/Quine/Lauener: closes truth value gaps.

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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