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Set Theory and its Philosophy$
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Michael Potter

Print publication date: 2004

Print ISBN-13: 9780199269730

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199269730.001.0001

Lines

Chapter:
(p. 117 ) Chapter 7 Lines
Source:
Set Theory and its Philosophy
Author(s):

Michael Potter

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199269730.003.0010

This chapter characterizes the ordering properties of the rational and real lines and to prove within ZU the existence of sets which satisfy these characterizations. The question of how points on these lines can be added or multiplied, and how they can be used to measure quantities, is set on one side to be dealt with in the following chapter.

Keywords:   ordering properties, rational line, real line, Souslin lines, Baire line

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