ABSTRACT: This paper presents a model for the structure of universal frameworks in logic, mathematics, and physics that are closed to logical conclusion by the mechanism of paradox across a dualism of ...

The goal of global optimization is essentially to search for optimal solutions in various areas of human activity. The principal advantage of the diagonal approach compared to other methods is its ...

ABSTRACT: The paper summarizes the contributions of the three philosophies of mathematics—logicism, intuitionism-constructivism (constructivism for short) and formalism and their rectification—which ...