July 21, 2025Open Access

Unfolding Infinity: Fractal Counterarguments to Cantorian Formalism

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This article reveals how fractal geometry offers a counterargument to Cantorian formalism, suggesting a new understanding of infinity in set theory.

MAIN FINDING: Fractal geometry challenges the primacy of Cantorian formalism in the understanding of infinity.
KEY EVIDENCE: Fractals exhibit infinite self-similarity and complex structures that counter static infinite sets.
APPROACH: The article contrasts Cantorian abstract frameworks with the dynamic nature of fractals in understanding infinity.
SIGNIFICANCE: This perspective promotes a pluralistic view of infinity, enriching mathematical discourse beyond traditional confines.

Ismail A Mageed (2025) studied this question.

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July 21, 2025Open Access

View Full Paper

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Authors

This article reveals how fractal geometry offers a counterargument to Cantorian formalism, suggesting a new understanding of infinity in set theory.

MAIN FINDING: Fractal geometry challenges the primacy of Cantorian formalism in the understanding of infinity.
KEY EVIDENCE: Fractals exhibit infinite self-similarity and complex structures that counter static infinite sets.
APPROACH: The article contrasts Cantorian abstract frameworks with the dynamic nature of fractals in understanding infinity.
SIGNIFICANCE: This perspective promotes a pluralistic view of infinity, enriching mathematical discourse beyond traditional confines.

Ismail A Mageed (2025) studied this question.

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