Set Theory and Logic

A Premise for the Natural Density of Prime Number Power Multisets: Continuum Hypothesis and Canonical Countability Assertions Refuted

Authors: Derek Tucker
Comments: 2 Pages.

The current canonical treatment of multisets to our knowledge does not discuss their powersets, but such powersets have a natural connection linking prime and natural numbers. Using the natural definition of continuity, and the natural extension of the formula for counting elements in a powerset to count power multisets, we find prime numbers are countably infinite, with an infinitude of infinities with natural density specified by the Riemann zeta function, between the primes and the continuous natural numbers.
Category: Set Theory and Logic