TL;DR
This paper introduces the Euclidean Universe, a mathematical framework that underpins Non-Archimedean Mathematics and Nonstandard Analysis, offering a foundational structure for these advanced mathematical theories.
Contribution
It presents the Euclidean Universe as a new foundational structure for Non-Archimedean Mathematics and Nonstandard Analysis.
Findings
Provides a formal framework for Non-Archimedean Mathematics
Establishes the Euclidean Universe as a foundational structure
Facilitates further research in Nonstandard Analysis
Abstract
In this paper, we introduce a mathematical structure called Euclidean Universe. This structure provides a basic framework for Non-Archimedean Mathematics and in particular for Nonstandard Analysis.
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