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Single Idea 21727

[filed under theme 5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions ]

Full Idea

The theory of definite descriptions may eliminate apparent commitment to such entities as the present King of France, but certainly not to the present Queen of England.

Gist of Idea

Definite descriptions theory eliminates the King of France, but not the Queen of England

Source

Bernard Linsky (Russell's Metaphysical Logic [1999], 7.3)

Book Ref

Linsky,Bernard: 'Russell's Metaphysical Logic' [CSLI 1999], p.127


The 11 ideas from 'Russell's Metaphysical Logic'

'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]