Hostname: page-component-848d4c4894-p2v8j Total loading time: 0.001 Render date: 2024-05-15T07:30:40.305Z Has data issue: false hasContentIssue false
  • English
  • Français

On Order in a Plane

Published online by Cambridge University Press:  20 November 2018

H. G. Forder
H. G. Forder*
Affiliation:
The University of Auckland, Auckland, New Zealand
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

When a set of axioms is laid down as the basis of any mathematical doctrine, it must be proved that this set never leads to a contradiction. In this note we turn the question around. A set of axioms is given and we wish to adjoin an axiom of a specified type. How far does the demand of non-contradiction limit the choice of the new axiom?

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 997 - 1000
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Forder, H. G., The foundations of Euclidean geometry (1927) (Dover reprint, 1958).Google Scholar
2. Geiger, M., Systematische Axiomatik (1924).Google Scholar