5 papers · 1 filter
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This paper has been withdrawn by the author due to an error.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…
A disturbing supertask
Antonio Leon
This paper examines the consistency of w-order by means of a supertask that functions as a supertrap for the assumed existence of w-ordered collections, which are simultaneously co…
The Aleph-zero or zero dichotomy
Antonio Leon
This paper proves the existence of a dichotomy which being formally derived from the topological successiveness of w-order leads to the same absurdity of Zeno's Dichotomy II. It al…