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math.LO2010
Deciding the Continuum Hypothesis with the Inverse Powerset
Patrick St-Amant
We introduce the concept of inverse powerset by adding three axioms to the Zermelo-Fraenkel set theory. This extends the Zermelo-Fraenkel set theory with a new type of set which is…
math.RA2010
Number Theories
Patrick St-Amant
We will see that key concepts of number theory can be defined for arbitrary operations. We give a generalized distributivity for hyperoperations (usual arithmetic operations and op…