Logic and arithmetic

Abstract

Since there are non-sortal predicates Frege’s attempt to derive Arithmetic from Logic stumbles at its very first step. There are properties without a number, so the contingency of that condition shows Frege’s definition of zero is not obtainable from Logic. But Frege made a crucial mistake about concepts more generally which must be remedied, before we can be clear about those specific concepts which are numbers.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,953

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

The logic of arithmetic.Noel Balzer - 1989 - Journal of Value Inquiry 23 (2):99-121.
Logic and Arithmetic.David Bostock - 1981 - Noûs 15 (4):551-559.
Frege, logic, and arithmetic.E. D. Klemke - 1970 - Philosophical Studies 21 (1-2):38 - 41.
Logic and Arithmetic.B. H. Slater - 2005 - In L. Behounek & M. Bilkova (eds.), The Logica Yearbook 2004. Praha: Filosofia.
Logic and Arithmetic: Natural Numbers. [REVIEW]Stanley C. Martens - 1976 - Philosophical Review 85 (1):102-105.
Logic and Arithmetic. Volume 1. Natural Numbers.Michael D. Resnik - 1982 - Journal of Symbolic Logic 47 (3):708-713.
Bostock, D., Logic and Arithmetic. [REVIEW]J. Janssens - 1981 - Tijdschrift Voor Filosofie 43:763.

Analytics

Added to PP
2009-01-28

Downloads
59 (#278,942)

6 months
7 (#491,772)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Hartley Slater
University of Western Australia

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references