Principles of Overmathematics

by

© Ph. D. & Dr. Sc. Lev Gelimson

Universal expressibility (of each urgent object).

Intuitivism (instead of axiomatic approaches).

Nonstrict essence (without strictness in presentations).

Decision delays (by estimating sense and existence).

Symbolic sense (of each urgent contradictory object).

Unrestricted operability (each operation on an arbitrary set of operands).

Quasiequivalent reduction (by an equivalent parameter).

Natural generalizations (not formal but essential and useful).

Structural considering (systems as objects with structures).

Quasicritical phenomena (in the structures of systems).

Practical tendencies (of infinite processes).

Simplest corrections (if they are reasonable in a certain quantisense).

Subtle estimation (to discriminate noncoinciding objects).

Reasonable control (by possibly inexact knowledge).

Quasisolving and supersolving (a problem by determining its quasisolution as the best possibly inexact pseudosolution, its supersolution as the best exact solution, and its contradictoriness measure).

Reserve determination (estimating the exactness of each exact object or model by its confidence and reliability).

Unified presentation (of bounded concepts).