Computational Science Unimathematical Test Fundamental Metasciences System

by

© Ph. D. & Dr. Sc. Lev Gelimson

Academic Institute for Creating Fundamental Sciences (Munich, Germany)

Mathematical Journal

of the "Collegium" All World Academy of Sciences

Munich (Germany)

12 (2012), 6

Keywords: Computational science, megascience, revolution, megamathematics, overmathematics, unimathematical test fundamental metasciences system, knowledge, philosophy, strategy, tactic, analysis, synthesis, object, operation, relation, criterion, conclusion, evaluation, measurement, estimation, expression, modeling, processing, symmetry, invariance, bound, level, worst case, defect, mistake, error, reserve, reliability, risk, supplement, improvement, modernization, variation, modification, correction, transformation, generalization, replacement.

Introduction

There are many separate scientific achievements of mankind but they often bring rather unsolvable problems than really improving himan life quality. One of the reasons is that the general level of earth science is clearly insufficient to adequately solve and even consider many urgent himan problems. To provide creating and developing applicable and, moreover, adequate methods, theories, and sciences, we need their testing via universal if possible, at least applicable and, moreover, adequate test metamethods, metatheories, and metasciences whose general level has to be high enough. Mathematics as universal quantitative scientific language naturally has to play here a key role.

But classical mathematics [1] with hardened systems of axioms, intentional search for contradictions and even their purposeful creation cannot (and does not want to) regard very many problems in science, engineering, and life. This generally holds when solving valuation, estimation, discrimination, control, and optimization problems as well as in particular by measuring very inhomogeneous objects and rapidly changeable processes. It is discovered [2] that classical fundamental mathematical theories, methods, and concepts [1] are insufficient for adequately solving and even considering many typical urgent problems.

Mega-overmathematics [2] based on its uninumbers, quantielements, quantisets, and uniquantities with quantioperations and quantirelations provides universally and adequately modeling, expressing, measuring, evaluating, and estimating general objects. This all creates the basis for many further mega-overmathematics fundamental sciences systems developing, extending, and applying overmathematics. Among them are, in particular, science unimathematical test fundamental metasciences systems [3] which are universal.

Computational Science Unimathematical Test Fundamental Metasciences System

Computational science unimathematical test fundamental metasciences system in mega-overmathematics [2] is one of such systems and can efficiently, universally and adequately strategically unimathematically test any pure science. This system includes:

fundamental metascience of computational science test philosophy, strategy, and tactic including computational science test philosophy metatheory, computational science test strategy metatheory, and computational science test tactic metatheory;

fundamental metascience of computational science consideration including computational science fundamentals determination metatheory, computational science approaches determination metatheory, computational science methods determination metatheory, and computational science conclusions determination metatheory;

fundamental metascience of computational science analysis including computational subscience analysis metatheory, computational science fundamentals analysis metatheory, computational science approaches analysis metatheory, computational science methods analysis metatheory, and computational science conclusions analysis metatheory;

fundamental metascience of computational science synthesis including computational science fundamentals synthesis metatheory, computational science approaches synthesis metatheory, computational science methods synthesis metatheory, and computational science conclusions synthesis metatheory;

fundamental metascience of computational science objects, operations, relations, and criteria including computational science object metatheory, computational science operation metatheory, computational science relation metatheory, and computational science criterion metatheory;

fundamental metascience of computational science evaluation, measurement, and estimation including computational science evaluation metatheory, computational science measurement metatheory, and computational science estimation metatheory;

fundamental metascience of computational science expression, modeling, and processing including computational science expression metatheory, computational science modeling metatheory, and computational science processing metatheory;

fundamental metascience of computational science symmetry and invariance including computational science symmetry metatheory and computational science invariance metatheory;

fundamental metascience of computational science bounds and levels including computational science bound metatheory and computational science level metatheory;

fundamental metascience of computational science directed test systems including computational science test direction metatheory and computational science test step metatheory;

fundamental metascience of computational science tolerably simplest limiting, critical, and worst cases analysis and synthesis including computational science tolerably simplest limiting cases analysis and synthesis metatheories, computational science tolerably simplest critical cases analysis and synthesis metatheories, computational science tolerably simplest worst cases analysis and synthesis metatheories, and computational science tolerably simplest limiting, critical, and worst cases counterexamples building metatheories;

fundamental metascience of computational science defects, mistakes, errors, reserves, reliability, and risk including computational science defect metatheory, computational science mistake metatheory, computational science error metatheory, computational science reserve metatheory, computational science reliability metatheory, and computational science risk metatheory;

fundamental metascience of computational science test result evaluation, measurement, estimation, and conclusion including computational science test result evaluation metatheory, computational science test result measurement metatheory, computational science test result estimation metatheory, and computational science test result conclusion metatheory;

fundamental metascience of computational science supplement, improvement, modernization, variation, modification, correction, transformation, generalization, and replacement including computational science supplement metatheory, computational science improvement metatheory, computational science modernization metatheory, computational science variation metatheory, computational science modification metatheory, computational science correction metatheory, computational science transformation metatheory, computational science generalization metatheory, and computational science replacement metatheory.

The computational science unimathematical test fundamental metasciences system in megamathematics [2] is universal and very efficient.

References

[1] Encyclopaedia of Mathematics / Managing editor M. Hazewinkel. Volumes 1 to 10. Kluwer Academic Publ., Dordrecht, 1988-1994

[2] Lev Gelimson. Elastic Mathematics. General Strength Theory. The "Collegium" All World Academy of Sciences Publishers, Munich (Germany), 2004, 496 pp.

[3] Lev Gelimson. Science Unimathematical Test Fundamental Metasciences Systems. Mathematical Journal of the “Collegium” All World Academy of Sciences, Munich (Germany), 12 (2012), 1