Philosophy Dictionary of Arguments

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Scope, range, logic, philosophy: range is a property of quantifiers or operators to be able to be applied to a larger or smaller range. For example, the necessity operator N may be at different points of a logical formula. Depending on the positioning, the resulting statement has a considerably changed meaning. E.g. great range "It is necessary that there is an object that ..." or small range "There is an object that is necessarily ....". See also quantifiers, operators, general invariability, stronger/weaker, necessity, Barcan Formula.
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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

D. Lewis on Scope - Dictionary of Arguments

IV 30
Scope/Lewis: If a quantifier is beyond the reach of the modal operator (MO), we have to limit its object area to the actual world - If modal operators occur within modal operators, we have to start working from the outside to the inside.
>Domain/Kripke
, >Operator, >Modal operator, >Quantifier/Lewis.
IV 33
Scope/De re/de dicto/Lewis: a) narrow scope: (only in actual world): here the modal operator is applied to the already closed sentence. - E.g. every possible world contains one single A so that the sentence ya is true in every possible world - de dicto - this is referentially opaque. - The translation of the apparent Leibnizian identity is invalid. - b) broad scope: here the modal operator is applied to an open sentence to form a new modal sentence f, and the attribute that is expressed by Nf is preceded by the real thing -That is de re - and is referentially transparent. - The translation of the apparent Leibnizian identity is valid here.
>de re/Lewis, >de dicto/Lewis.
IV 34
Medium scope/Lewis: for each description there are three scopes. Also a medium one: E.g. NM(h = z) - broad scope: de re, transparent: says that the attribute expressed by f is essential and is denoted by z.
>Description.

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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.

Lewis I
David K. Lewis
Die Identität von Körper und Geist Frankfurt 1989

Lewis I (a)
David K. Lewis
An Argument for the Identity Theory, in: Journal of Philosophy 63 (1966)
In
Die Identität von Körper und Geist, , Frankfurt/M. 1989

Lewis I (b)
David K. Lewis
Psychophysical and Theoretical Identifications, in: Australasian Journal of Philosophy 50 (1972)
In
Die Identität von Körper und Geist, , Frankfurt/M. 1989

Lewis I (c)
David K. Lewis
Mad Pain and Martian Pain, Readings in Philosophy of Psychology, Vol. 1, Ned Block (ed.) Harvard University Press, 1980
In
Die Identität von Körper und Geist, , Frankfurt/M. 1989

Lewis II
David K. Lewis
"Languages and Language", in: K. Gunderson (Ed.), Minnesota Studies in the Philosophy of Science, Vol. VII, Language, Mind, and Knowledge, Minneapolis 1975, pp. 3-35
In
Handlung, Kommunikation, Bedeutung, Georg Meggle, Frankfurt/M. 1979

Lewis IV
David K. Lewis
Philosophical Papers Bd I New York Oxford 1983

Lewis V
David K. Lewis
Philosophical Papers Bd II New York Oxford 1986

Lewis VI
David K. Lewis
Convention. A Philosophical Study, Cambridge/MA 1969
German Edition:
Konventionen Berlin 1975

LewisCl
Clarence Irving Lewis
Collected Papers of Clarence Irving Lewis Stanford 1970

LewisCl I
Clarence Irving Lewis
Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991


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> Counter arguments against Lewis
> Counter arguments in relation to Scope

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Ed. Martin Schulz, access date 2024-04-19
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