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ABSTRACT. Dummett argues that no part of an expression’s meaning can contain anything which is not manifest in the use made of it, laying solely in the mind of the individual who apprehends that meaning. Dummett points out that a theory of understanding should proceed by characterizing that knowledge whose possession is constitutive of mastery of the language in question. Dummett maintains that in the mathematical case it is necessary to distinguish between canonical or direct proofs and demonstrations or indirect proofs. Dummett states that a Platonist will admit that, for a given statement, there may be neither a proof nor a disproof of it to be found.

 

Written by ADRIAN CONSTANTINESCU
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Institute of Interdisciplinary Studies in
Humanities and Social Sciences, New York

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