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Necessity, philosophy: different kinds of necessity are distinguished, differing in their strength. For example, physical, logical or metaphysical necessity. See also necessity de dicto, necessity de re.
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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

Christopher Peacocke on Necessity - Dictionary of Arguments

II 313
Necessity/necessary/modification of predicates/Wiggins/Peacocke: Problem: 'big' cannot modify like 'nec' predicates of any fine degree.
((s) "nec" : Operator for necessary").
>Operators
.
That means, we get a finite axiomatized theory for 'big' but not for 'nec'. - There can only be an infinite number of modifications here.
>Axioms, >Axiom systems, >Axiomatizability.
Problem: 'nec' can be iterated in the object language, but Grandy's representational content cannot treat the iterations because the performance is not defined.
Solution:
1. syntactical variabel 't>' is about series of terms of the form (t1 ... tn)
2. separate recursion for abstracts of the object language in the theory, that specifies inductively the conditions under which a sequence has the property correlated with the abstract('Corr').
II 316
Then the truth conditions turn the predications into sequences - so the theory is not entirely homophonic.
>Homophony, >Truth conditions, >Predication.
II 324
Necessity/satisfaction/language/Peacocke: the satisfaction and evaluation axioms not only express contingent truths about the language - necessarily in German each sequence fulfils x1 'is greater than Hesperus' in L, if their first element is greater than Hesperus.
>Satisfaction.

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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.

Peacocke I
Chr. R. Peacocke
Sense and Content Oxford 1983

Peacocke II
Christopher Peacocke
"Truth Definitions and Actual Languges"
In
Truth and Meaning, G. Evans/J. McDowell, Oxford 1976


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