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Single Idea 9822

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

Full Idea

Frege appeals to a general principle that nothing should be defined in terms of that to which it is conceptually prior.

Gist of Idea

Nothing should be defined in terms of that to which it is conceptually prior

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §64) by Michael Dummett - Frege philosophy of mathematics Ch.3

Book Ref

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.33

A Reaction

The point is that the terms of the definition would depend on the thing being defined. But of all the elusive concepts, that of 'conceptual priority' is one of the slipperiest. An example is the question of precedence between 'parallel' and 'direction'.

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

9845 We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
9844 Originally Frege liked contextual definitions, but later preferred them fully explicit [Frege, by Dummett]
9822 Nothing should be defined in terms of that to which it is conceptually prior [Frege, by Dummett]
21560 Any linguistic expression may lack meaning when taken out of context [Russell]
19047 Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine]
19048 Contextual definition shifted the emphasis from words to whole sentences [Quine]
8995 Definition by words is determinate but relative; fixing contexts could make it absolute [Quine]
9847 A contextual definition permits the elimination of the expression by a substitution [Dummett]
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
10142 The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
9961 'Contextual definitions' replace whole statements, not just expressions [Mautner]
10204 An 'implicit definition' gives a direct description of the relations of an entity [Shapiro]
18776 Contextual definitions eliminate descriptions from contexts [Linsky,B]
9955 Contextual definitions replace a complete sentence containing the expression [George/Velleman]