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math.GM2006
Correcting a minor error in Cantor's calculation of the power of the continuum
Antonio Leon
Cantor's algebraic calculation of the power of the continuum contains an easily repairable error related to Cantor own way of defining the addition of cardinal numbers. The appropr…
math.GM2006
Recursion and the Axiom of Infinity
Antonio Leon
This paper examines the completion of an w-ordered sequence of recursive definitions which on the one hand defines an increasing sequence of nested set and on the other redefines s…
math.GM2006
Hilbert's machine and w-order
Antonio Leon
Hilbert's machine is a supertask machine inspired by Hilbert's Hotel whose functioning leads to a contradictory result involving w-ordering.