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WHAT CAN A CATEGORICITY THEOREM TELL US?

Published online by Cambridge University Press:  01 July 2013

TOBY MEADOWS
TOBY MEADOWS*
Affiliation:
School of Mathematics, University of Bristol
*
*SCHOOL OF MATHEMATICS, UNIVERSITY OF BRISTOL, E-mail: toby.meadows@gmail.com
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Abstractf

The purpose of this paper is to investigate categoricity arguments conducted in second order logic and the philosophical conclusions that can be drawn from them. We provide a way of seeing this result, so to speak, through a first order lens divested of its second order garb. Our purpose is to draw into sharper relief exactly what is involved in this kind of categoricity proof and to highlight the fact that we should be reserved before drawing powerful philosophical conclusions from it.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 6 , Issue 3 , September 2013 , pp. 524 - 544
Copyright
Copyright © Association for Symbolic Logic 2013 

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