Philosophy Lexicon 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.

 
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I 118
Range/scope: Tradition: Tmesis, logically indivisible operator: either or: E.g. either both: young and stupid or evil - or either young or stupid and evil
I 144
Range: problem with descriptions, not with names - E.g. it is (logically) chronologically possible that Caesar was the father of Brutus - description: Caesar = man who not begat Brutus - then: narrow scope: logical impossibility; the whole sentence is wrong - long scope: someone who is described among other things as non-producer of Brutus ... the sentence remains true.


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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.

Gea I
P.T. Geach
Logic Matters Oxford 1972


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Ed. Martin Schulz, access date 2017-10-22