|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._____________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. |
|EMD II 313
Necessity/necessary/modification of predicates/Wiggins/Peacocke: Problem: 'big' cannot modify like 'nec' predicates of any fine degree - that means, we get a finite axiomatized theory for 'big' but not for 'nec'. - There can only be an infinite number of modifications here. 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').
Then the truth conditions turn the predications into sequences - so the theory is not entirely homophonic.
EMD II 324
Necessity/performance/language/Peacocke: the fulfillment 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._____________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.
Chr. R. Peacocke
Sense and Content Oxford 1983
G. Evans/J. McDowell
Truth and Meaning Oxford 1977
The Varieties of Reference (Clarendon Paperbacks) Oxford 1989