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math.GM2010
Nested-set inconsistency
Antonio Leon
This paper examines a denumerable version of the nested-set theorem and derives from it a contradiction involving the formal consistency of the actual infinity assumed by the Axiom…
math.GM2010
On Bifurcated supertasks and related questions
Antonio Leon
Bifurcated supertasks entail the actual infinite division of time (accelerated system of reference) as well as the existence of half-curves of infinite length (supertask system of…
math.GM2010
Cantor versus Cantor
Antonio Leon
This paper examines the possibilities of extending Cantor's two arguments on the uncountable nature of the set of real numbers to one of its proper denumerable subsets: the set of…