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Single Idea 18776

[filed under theme 2. Reason / D. Definition / 7. Contextual Definition ]

Full Idea

A 'contextual' definition shows how to eliminate a description from a context.

Gist of Idea

Contextual definitions eliminate descriptions from contexts

Source

Bernard Linsky (Quantification and Descriptions [2014], 2)

Book Ref

'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.85


A Reaction

I'm trying to think of an example, but what I come up with are better described as 'paraphrases' than as 'definitions'.


The 13 ideas from Bernard Linsky

Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
Contextual definitions eliminate descriptions from contexts [Linsky,B]
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]