The aim of the article is to present a few criticisms of the foundations of Leon Chwistek’s philosophy. Completeness postulate, imposed on all correct philosophical systems by Chwistek, and which is supposed to be in conflict with conventionalism, is criticised. Correctness of some Chwistek’s axioms is called into question. Axioms for six intermediate realities are given. I argue in favour of model theory interpretation of manifold reality.