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Single Idea 9844

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

Full Idea

In his middle period, Frege became hostile to contextual definitions, and any definition other than an explicit one, ..but at the time of the 'Grundlagen' he conceived of his context principle as licensing contextual definitions.

Clarification

His middle period is 1891-1906

Gist of Idea

Originally Frege liked contextual definitions, but later preferred them fully explicit

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Michael Dummett - Frege philosophy of mathematics Ch.11

Book Ref

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.125


A Reaction

His context principle says words only have a meaning in a context. Intuitively, I would say that there is no correct answer to how something should be defined. Totally circularity is hopeless, but presuppositions just weaken a definition.


The 14 ideas with the same theme [definition relying wholly on facts about context]:

We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
Originally Frege liked contextual definitions, but later preferred them fully explicit [Frege, by Dummett]
Nothing should be defined in terms of that to which it is conceptually prior [Frege, by Dummett]
Any linguistic expression may lack meaning when taken out of context [Russell]
Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine]
Contextual definition shifted the emphasis from words to whole sentences [Quine]
Definition by words is determinate but relative; fixing contexts could make it absolute [Quine]
A contextual definition permits the elimination of the expression by a substitution [Dummett]
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
'Contextual definitions' replace whole statements, not just expressions [Mautner]
An 'implicit definition' gives a direct description of the relations of an entity [Shapiro]
Contextual definitions eliminate descriptions from contexts [Linsky,B]
Contextual definitions replace a complete sentence containing the expression [George/Velleman]