Chapter 23. Logic and Ontology: Numbers and Sets

  1. Dale Jacquette
  1. José A. Benardete

Published Online: 26 NOV 2007

DOI: 10.1002/9780470996751.ch24

A Companion to Philosophical Logic

A Companion to Philosophical Logic

How to Cite

Benardete, J. A. (2006) Logic and Ontology: Numbers and Sets, in A Companion to Philosophical Logic (ed D. Jacquette), Blackwell Publishing Ltd, Oxford, UK. doi: 10.1002/9780470996751.ch24

Publication History

  1. Published Online: 26 NOV 2007
  2. Published Print: 1 JAN 2006

ISBN Information

Print ISBN: 9780631216711

Online ISBN: 9780470996751

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Keywords:

  • logic;
  • ontology;
  • Sher's weak logicism;
  • finiteness;
  • infinite sentence

Summary

This chapter contains sections titled:

  • Sher's Weak Logicism

  • Finiteness, an Infinite Sentence and Skolem

  • Back to Strong Logicism?

  • Benacerraf's Challenge

  • An Anti-realist Frege?

  • Second-order Logic and Sets

  • Skolem (Again) and Megethology