Solid Mechanics Unimathematical Test Fundamental Metasciences System

by

© Ph. D. & Dr. Sc. Lev Gelimson

Academic Institute for Creating Fundamental Sciences (Munich, Germany)

Physical Journal

of the "Collegium" All World Academy of Sciences

Munich (Germany)

12 (2012), 9

Keywords: Solid mechanics, megascience, revolution, unimechanics, 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.

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 including 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 megamathematics fundamental sciences systems developing, extending, and applying overmathematics. Among them are, in particular, science unimathematical test fundamental metasciences systems [3] which are universal.

Solid mechanics unimathematical test fundamental metasciences system in mega-overmathematics, unimechanics, and unistrength [2] is one of such systems and can efficiently, universally and adequately strategically unimathematically test solid mechanics. This system includes:

fundamental metascience of solid mechanics test philosophy, strategy, and tactic including solid mechanics test philosophy metatheory, solid mechanics test strategy metatheory, and solid mechanics test tactic metatheory;

fundamental metascience of solid mechanics consideration including solid mechanics fundamentals determination metatheory, solid mechanics approaches determination metatheory, solid mechanics methods determination metatheory, and solid mechanics conclusions determination metatheory;

fundamental metascience of solid mechanics analysis including solid mechanics subscience analysis metatheory, solid mechanics fundamentals analysis metatheory, solid mechanics approaches analysis metatheory, solid mechanics methods analysis metatheory, and solid mechanics conclusions analysis metatheory;

fundamental metascience of solid mechanics synthesis including solid mechanics fundamentals synthesis metatheory, solid mechanics approaches synthesis metatheory, solid mechanics methods synthesis metatheory, and solid mechanics conclusions synthesis metatheory;

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

fundamental metascience of solid mechanics evaluation, measurement, and estimation including solid mechanics evaluation metatheory, solid mechanics measurement metatheory, and solid mechanics estimation metatheory;

fundamental metascience of solid mechanics expression, modeling, and processing including solid mechanics expression metatheory, solid mechanics modeling metatheory, and solid mechanics processing metatheory;

fundamental metascience of solid mechanics symmetry and invariance including solid mechanics symmetry metatheory and solid mechanics invariance metatheory;

fundamental metascience of solid mechanics bounds and levels including solid mechanics bound metatheory and solid mechanics level metatheory;

fundamental metascience of solid mechanics directed test systems including solid mechanics test direction metatheory and solid mechanics test step metatheory;

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

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

fundamental metascience of solid mechanics test result evaluation, measurement, estimation, and conclusion including solid mechanics test result evaluation metatheory, solid mechanics test result measurement metatheory, solid mechanics test result estimation metatheory, and solid mechanics test result conclusion metatheory;

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

The solid mechanics 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.