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Psychology Dictionary of Arguments

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Description Levels: Levels result from dividing a domain into sub-domains, for which different rules for making statements are valid. Thus, e.g. other statements are made about sets than about their elements. See also metalanguage, object language, theories, metatheory, metalogic, metasemantics, meta-ethics, meta-level, paradoxes, order, 2nd order logic, higher order logic, HOL, completeness.
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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

Peter Geach on Description Levels - Dictionary of Arguments

I 202
Order/levels/GeachVsStrawson: statements about variables are not always of "higher order".
"p" entails "q" could be only an assertion that the variable "p" entails the variable "q", which is certainly nonsense.
We must provide the name of statements by quotes.
>Levels/Order
, >Quotation marks, >Name of a sentence, cf. >Equivalence/Geach.
Negation "~" forms a sentence out of a sentence or a name of a sentence out of a name of a sentence if the name is preceded by: E.g. "~ Q".
>Negation, cf. >interior/exterior/Carnap.

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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.

Gea I
P.T. Geach
Logic Matters Oxford 1972


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