Uniformity_and_nonuniformity
Logic
2023-07-04 v1
Abstract
The article introduces the concept of uniformity, which is formulated as a scheme of axioms. The connection of this concept with ordered sets is studied. The effectiveness of using axiom schemes as a convenient and short way of replacing axiom systems is shown. With such a replacement, the main idea of the system of axioms of the given mathematical theory immediately becomes clear. The reasons for using number systems in mathematics are also shown.
Cite
@article{arxiv.2307.00069,
title = {Uniformity_and_nonuniformity},
author = {V. M. Zhuravlov},
journal= {arXiv preprint arXiv:2307.00069},
year = {2023}
}
Comments
21 pages