. W.V.O. Quine on Excluded Middle - Dictionary of Arguments

# Philosophy Dictionary of Arguments

Home

Law of the Excluded Middle: an assertion is either true or false. "There is no third possibility."See also bivalence, anti-realism, multivalued logic.
_____________
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 Excluded Middle - Dictionary of Arguments

XIII 55
Sentence of the Excluded Middle/excluded middle/Quine: Thesis: each sentence is either true or false. You can say a lot about that, pro and contra.
Set Theory/Quine: 1. Much in it does not satisfy most standards of intuitionism, i.e. it is assumed that it is neither true nor false (without truth value). This leads from classical logic to intuitionism.
>Set Theory/Quine
.
QuineVsDummett/QuineVsAnti-Realism: the requirement that there must be direct evidence for or against an assertion, but it also obscures the clarity and simplicity of the sciences.
QuineVsIntuitionism: is obscure, especially when extended to mathematics.
Bivalence/Logic/Quine: the bivalence with the Sentence of the Excluded Middle is the minimal, most streamlined thing that logic has to offer. It comes from the number two, the smallest and simplest number rising from the ground.
Assertiveness/Truth/QuineVsIntuitionism: assertiveness is one thing, truth another.
XIII 56
Realism/Quine: pro: some truths can be found out, others not.
N.B.: then we are also free to call the rest of the (undetectable) sentences false.
Future/Sentence of the Excluded Middle/VsSentence of the Excluded Middle/Bivalence/Quine: 3. The Sentence of the Excluded Middle has also come under fire from another side: Thesis: Contingents of predictions are neither true nor false. (See future/Quine).
VsSentence of the Excluded Middle/Quine: a further objection is: non-designating terms such as e.g. Pegasus: sentences containing such terms are neither true nor false.
Empty singular terms/Quine: we can accept this for everyday language, but not in science or logic. (See singular terms).
Vagueness/VsSentence of the Excluded Middle/Sorites/Quine: 4. Objection: vague expressions: here again I would plead for a double standard: in logic we simply want to proceed in such a way that we assume that all expressions are precise.
Determination/Quine: we can even introduce an additional convention.
XIII 57
Sorites/Quine: we save the mathematical (complete) induction by setting exact limits for what a heap is. Even if we do not specify where it goes!
Sentence of the Excluded Middle/Quine: pro: the first two objections are ignored, the other two are overcome by a double standard.
Proposition/Sentence of the Excluded Middle/Quine: some authors resort to propositions to explain. Thesis: The lack would concern sentences, but not the corresponding propositions.
QuineVsPropositions: this is an empty game with words (see >truth).
Sentence of the Excluded Middle/Quine: is not a fact of life, but a norm that governs efficient logical regimentation.

_____________
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:

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

> Counter arguments against Quine
> Counter arguments in relation to Excluded Middle

Ed. Martin Schulz, access date 2024-05-21