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DEDEKIND AND HILBERT ON THE FOUNDATIONS OF THE DEDUCTIVE SCIENCES

Published online by Cambridge University Press:  07 November 2011

ANSTEN KLEV
ANSTEN KLEV*
Affiliation:
Institute for Philosophy, Leiden University
*
*INSTITUTE FOR PHILOSOPHY, LEIDEN UNIVERSITY, POSTBUS 9515, 2300 RA LEIDEN, THE NETHERLANDS. E-mail:: [email protected]
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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.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 4 , Issue 4 , December 2011 , pp. 645 - 681
Copyright
Copyright © Association for Symbolic Logic 2011

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