2 papers
math.LO2021
Logic of paradoxes in classical set theories
Boris Čulina
Set theoretical paradoxes have a common root -- lack of understanding of why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of…
math.HO2021
An Elementary System of Axioms for Euclidean Geometry based on Symmetry Principles
Boris Čulina
In this article, I develop an elementary system of axioms for Euclidean geometry. On one hand, the system is based on the symmetry principles which express our a priori ignorant ap…