Mathematical Infinities and Axiomatic Structures

This monograph is intended for Mathematics students that plan to continue their mathematical education at University, as well as students with interests in Analytic Philosophy or Theoretical Computer Science.

Topics include Countable and Uncountable sets, Finite and Infinite sets, the sizes of Infinities, Countable Rational and Uncountable Real numbers, Power Set, Cantor’s theorem, Cantor’s Paradox, Russell’s paradox, Zermelo axioms for set theory, Essentials of Axiomatic method, Continuum H...