On the Hausdorff and the Banach-Tarski paradox
Gyula Magyarkuti
TL;DR
This paper presents an elementary approach to the Banach-Tarski paradox, requiring minimal algebra and measure theory, making the complex paradox more accessible and understandable.
Contribution
It introduces a simplified, elementary method for understanding the Banach-Tarski paradox, reducing the need for advanced mathematical background.
Findings
Simplified proof of Banach-Tarski paradox
Minimal algebra and measure theory required
Enhanced accessibility for mathematical education
Abstract
An elementary approach to Banach-Tarski paradox is presented. Very small amount of algebra and measure theory is required. -- A Hausdorff- \'es a Banach-Tarski paradoxon elemi megk\"ozel\'it\'ese.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Advanced Topology and Set Theory · Mathematical Dynamics and Fractals