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October 16, 2025Open Access

A Structural Analysis of Infinity in Set Theory and Modern Algebra

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Authors

NBNoah Betz

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Overview

This analysis investigates infinity in set theory and algebra, highlighting set-theoretic and algebraic interactions.

Key Points

  • The examination of cardinal and ordinal numbers reveals significant insights into the nature of infinity.
  • Key results, including the Schröder-Bernstein theorem and the continuum hypothesis, explore foundational aspects of set theory.
  • Connections between infinite algebraic structures and set theory illustrate the interplay between finite and infinite mathematics.
  • Results such as Hilbert's basis theorem emphasize the important relationships between algebraic and set-theoretic concepts of infinity.

Cite This Study

Noah Betz (2025) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd0fahttps://doi.org/10.48550/arxiv.2505.09626
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