Essay examines errors in reasoning about infinite sets' magnitudes, questioning their ontological legitimacy.
This essay examines the standard arguments used to claim that infinite sets can differ in magnitude, exposing a fallacious form of reasoning that permits the derivation of contradictory conclusions, and calling into question the ontological legitimacy of attributing a defined final output to a non-terminating function.
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Iván Alfredo Solana (2026) studied this question.
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