Philosophy Dictionary of Arguments

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Logical form: The logical form of a statement describes its basic structure, regardless of its content. It shows how the components of the statement are connected to each other, for example by operators such as “and”, “or” or “not”. In formal logic, the logical form is used to analyze arguments and check their validity. The entries below deal with the special features of these forms. See also Logic, Operators, Connectives, Truth tables.
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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 Concept Summary/Quotes Sources

W.V.O. Quine on Logical Form - Dictionary of Arguments

IX 24
Def Identity/Quine: we can simplify now: instead of "y = z": - "y = z" stands for "∀x (x ε y ↔ x ε z)"- because we have identified the individuals with their unit classes.
X 48
Name/Quine: we cannot quantify over them, so they are a different category - no variables - names can be replaced by variables, but not always vice versa.
I 283
"No", "nobody", "nothing": equal "any" plus negation.
III 101
"Generalized Conditional"/Quine: Example "All F are G". (Categorical theorem).
Examples:
"Nowhere"/logical form/Quine: "no F is a G"

"Somewhere"/logical form/Quine: "some F are G"

"Always"/logical form/Quine: "All F are G".

"Whoever"/"whatever"/"whenever"/logical form/Quine: "all F are G". (or "generalized conditional": "if something is an F, it is a G".)

"Any"/logical form/Quine: "all F are G".

"Never"/logical form/Quine: "no F is a G".

III 102
"Everywhere"/logical form/Quine: e.g. "I go everywhere you go": "All F are G". Likewise: E.g. "she gets what she wants".

III 103
"Before"/"during"/logical form/Quine: "some F are G": e.g. "I knew him while he worked at the company": Some points of time are times I knew him and at which he worked at the company".


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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. 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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