A Semi Number-Theoretic Approach and Proposed proof that CH is false.

Jyothiniranjan Pillay (1)

1 Institute of Actuaries Scotland

We introduce number theoretic systems for use in the study of subsets associated with the reals via its association with fractional portions of real numbers. Our techniques will then highlight properties associated with such fractionals that render these as part of the reals. We will then show that subsets of such fractionals can be formed, and finally we will then show that such sets-subsets possess different cardinalities, whilst having cardinality greater than that of the naturals.

Mots clés: Continuum Hypothesis

Domaines: Mathématiques générales [math.GM]

Jyothiniranjan Pillay. A Semi Number-Theoretic Approach and Proposed proof that CH is false.. 2013. ⟨hal-00801581v2⟩