Abstract
We offer an interpretation of the words and works of Richard Dedekind and the David Hilbert of around 1900 on which they are held to entertain diverging views on the structure of a deductive science. Firstly, it is argued that Dedekind sees the beginnings of a science in concepts, whereas Hilbert sees such beginnings in axioms. Secondly, it is argued that for Dedekind, the primitive terms of a science are substantive terms whose sense is to be conveyed by elucidation, whereas Hilbert dismisses elucidation and consequently treats the primitives as schematic.
Publisher
Cambridge University Press (CUP)
Subject
Logic,Philosophy,Mathematics (miscellaneous)
Reference111 articles.
1. Frege's Elucidatory Holism
2. Über den Begriff der Zahl;Keferstein;Mitteilungen der Mathematische Gesellschaft zu Hamburg,1890
3. Dedekind’s Analysis of Number: Systems and Axioms
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