12 papers
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…
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…
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…
Extending Cantor Paradox
Antonio Leon
The inconsistencies involved in the foundation of set theory were invariably caused by infinity and self-reference; and only with the opportune axiomatic restrictions could them be…
Recursion and w-order
Antonio Leon
This paper has been withdrawn by the author due to an error.
Beyond Chaos
Antonio Leon
The first part of this paper defines recursive interactions by means of logistic functions and derives a general result on the way interacting systems evolve in attractors. It also…