Uniformity_and_nonuniformity

Bibliographic Details
Title: Uniformity_and_nonuniformity
Authors: Zhuravlov, V. M.
Publication Year: 2023
Collection: Mathematics
Subject Terms: Mathematics - Logic, 03B16
More Details: 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.
Comment: 21 pages
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2307.00069
Accession Number: edsarx.2307.00069
Database: arXiv