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Logicism Lite

Published online by Cambridge University Press:  01 January 2022

Richard Jeffrey
Richard Jeffrey*
Affiliation:
Department of Philosophy, Princeton University
*
Send requests for reprints to the author, Department of Philosophy, Princeton University, Princeton NJ 08544-1006; dickjeff@Princeton.edu.
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Abstract

Logicism Lite counts number-theoretical laws as logical for the same sort of reason for which physical laws are counted as as empirical: because of the character of the data they are responsible to. In the case of number theory these are the data verifying or falsifying the simplest equations, which Logicism Lite counts as true or false depending on the logical validity or invalidity of first-order argument forms in which no numbertheoretical notation appears.

Type
Research Article
Information
Philosophy of Science , Volume 69 , Issue 3 , September 2002 , pp. 447 - 451
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

This is a modification of Jeffrey (1996, 2002), prompted by work of Ferreira (1998–1999) and owing much to discussions with Penelope Maddy. The present data for truth or falsity of atomic sentences of number theory are modifications of Ferreira's “checking points”.

References

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