Descriptions in mathematical logic

Studia Logica 43 (3):281-294 (1984)
Abstract
After a discussion of the different treatments in the literature of vacuous descriptions, the notion of descriptor is slightly generalized to function descriptor , so as to form partial functions which satisfy . We use (intuitionistic, classical or intermediate) logic with existence predicate, as introduced by D. S. Scott, to handle partial functions, and prove that adding function descriptors to a theory based on such a logic is conservative. For theories with quantification over functions, the situation is different: there the addition of yields new theorems in the -free fragment, but an axiomatisation is easily given. The proofs are syntactical.
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DOI 10.1007/BF02429843
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References found in this work BETA
Principia Mathematica.A. N. Whitehead - 1926 - Mind 35 (137):130.
Set Theory and its Logic.Willard V. Quine - 1963 - Harvard University Press.
Principia Mathematica. [REVIEW]Morris R. Cohen - 1912 - Philosophical Review 21 (1):87-91.

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