Incomplete Symbols — Definite Descriptions Revisited

Journal of Philosophical Logic 44 (5):489-506 (2015)
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Abstract

We investigate incomplete symbols, i.e. definite descriptions with scope-operators. Russell famously introduced definite descriptions by contextual definitions; in this article definite descriptions are introduced by rules in a specific calculus that is very well suited for proof-theoretic investigations. That is to say, the phrase ‘incomplete symbols’ is formally interpreted as to the existence of an elimination procedure. The last section offers semantical tools for interpreting the phrase ‘no meaning in isolation’ in a formal way

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References found in this work

Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
On Denoting.Bertrand Russell - 2005 - Mind 114 (456):873 - 887.

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