A nonstandard proof for Szpilrajn's theorem
Logic
2016-03-09 v1
Abstract
Recall that Szpilrajn (1930) ([4], [5]) states that on a given set, any partial order can be extended to a total order on the same set. In this work we give, in the context of the IST theory ([2],[3],[6]), a more constructive proof for this theorem. In addition, we benefit of the tools used to give some other results.
Cite
@article{arxiv.1603.02469,
title = {A nonstandard proof for Szpilrajn's theorem},
author = {Abdelmadjid Boudaoud},
journal= {arXiv preprint arXiv:1603.02469},
year = {2016}
}
Comments
International Conference in Mathematics 2012, Mar 2012, Al - Ain (United Arab Emirates University ), United Arab Emirates. Proceedings of the International Conference in Mathematics 2012, 2016, Proceedings of the International Conference in Mathematics 2012