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

M.J. Cresswell on Scope - Dictionary of Arguments

I, 179f
Scope/Cresswell: E.g. everyone loves someone:
a) everyone is such that someone is so that the former loves the second
b) someone - someone is so that everyone is so that he, the second named, loves him, the former - game theoretical semantics/CresswellVsHintikka: has brought nothing new, what Kamp/Heim did not already have - game theory: sequence of choice.
>Hans Kamp
, >Irene Heim, >File change semantics, >Game-theorical semantics.
II 48
Scope/description/propositional attitudes/Cresswell: sentences about propositional attitudes can always give descriptions a wide range. That is, to make them rigid.
>Narrow/Wide, >Rigidity.
II 126
He*/scope/Cresswell: wide scope: then it can also be interpreted as "I".
Narrow scope: allows "he", "she" or "it".
Gods-example/solution/Cresswell:> - speaker index.
>Two omniscient Gods/Cresswell, more authors on >"Two omniscient Gods".
II 126
"Now"/scope/Cresswell: analog to the case of "I".
Narrow scope: here "now" becomes "then".
"Here"/Cresswell: Problem: that "people coordinates" could lead to an infinite list - because of the context dependency.
CresswellVs: instead I use (Cresswell, 1973a(1), pp. 110-119.) properties of utterances.
II 143
Hob/Cob/Nob-Example/Geach/Cresswell: (Geach 1957(2), 628): Cresswell: needs a quantifier, which is simultaneously inside and outside the scope of the attitude-verb. - Solution/Hill/Kraut: intensional objects as surrogates for individuals and a further quantifier.
>Cob/Hob/Nob-case.
II 150
Names/scope/Cresswell: normally names have a wider reach than modal operators - this is the "modal objection" VsKripke.
KripkeVsVs: (Kripke, 1972(3), p. 279.)


1. Cresswell, M. J. (1973). Logics and Languages. London: Methuen.
2. Geach, P. (1957). Mental Acts. London: Routledge and Kegan Paul.
3. Kripke S. A. (1972). Naming and Necessity, in: Davidson/Harmann
(eds.) (1972), 253-355

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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.

Cr I
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988

Cr II
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984


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