Advanced 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), 3

Keywords: Advanced 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.

Advanced Science Unimathematical Test Fundamental Metasciences System

Advanced 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 advanced science test philosophy, strategy, and tactic including advanced science test philosophy metatheory, advanced science test strategy metatheory, and advanced science test tactic metatheory;

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

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

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

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

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

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

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

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

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

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

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

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

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

Advanced 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