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The derivation leading to the formulation of Lorentzian transformation in special relativity is actually a duplication of an ancient “miracle” in algebra: 2x−x=0, 2x=x, 2=1. Dominated by such a mathematical confusion, relativity displays fundamental uncertainty in understanding physics. As such, with equations, it claims to have “discovered” two speed limits in nature: the speed of light in the vacuum space and the speed of light at the mass center of a material body. Needless to say, these two speed limits repel each other, not to mention that the second speed limit is even against nature. Relativity then further extends this confusion and uncertainty in physics to make up many self‐contradicting concepts. These concepts include the so‐called homogeneous gravitational field and the idea of having (circumference/diameter)>3.1415926… for a spinning circle. With the same mathematics guiding to its “success”, however, relativity presents no homogeneous gravitational field, but a monster that must be called a homogeneously inhomogeneous field for its appropriation. Based on the same erroneous mathematics, relativity must force itself to have (circumference/diameter)<3.1415926… for a spinning circle. With the idea of a homogeneous gravitational field, relativity believes that it can establish the validity of the so‐called Principle of Equivalence for the legitimacy of general relativity. However, Newtonian mechanics, supported by the close orbital movements of numerous heavenly objects, must witness the nonexistence of such a “principle” in nature.

A new expression of the panorama of pansystems relativity is stated. Some modes and related principles or applications are developed. Concrete contents include: new forms of the framework 784e of pansystems theory and its connections with relativity. The paper introduces eight classes of relativity topics, and further research presents many new models of pansystems relativity such as: 23456R, super‐23456R, SSOS, SOMERQ, pansystems dialectics, clustering quotient, field‐net, meta‐topology, image‐boundary, cognition and practice, thinking experiment, etc. These modes present some new understanding to systems, society, methodology, epistemology, wisdom, psychology, hi‐tech, paradox, anthropology, ego, literature, arts, poetics and aesthetics, etc. There are 60 or more related references listed in the paper.

Presents the first chapter in this work with regard to the search for new ideas and better interpretations in the growth and development of new ideas. Investigates the exchange of views between thinkers of different points of view. Invites co‐operation between various factions to investigate unification of all known sciences (natural and economic) and to include the arts. Mentions all the great thinkers in these areas and unreservedly discusses their contribution in the school of thought. Proffers that modern technology cannot and should not be slowed down and that for the social economy of human solidarity should be aimed for, to begin a new era for humanity.

Looks at the differences in new and old methodology with regard to economics and discusses the theories laid down by Quesnay and Smith in the eighteenth century, and also the modern revolution started by Malthus (1820). Further discusses the variations in thought by all the great thinkers in this discipline and shows improvements or errors made by them. Concludes that there will be further breakthroughs and that there are no boundaries involved in this sphere.

The purpose of this paper is to present an academic programme of pansystems research with a lot of new concepts, principles, methods. Universal consideration of philosophy‐mathematics‐technology is set forth with mega‐combination. The emphasis on the transfield internet‐like investigations is developed. Many theory‐methods of pansystems get further concise optimization.

The concrete contents of the paper include: historical megawave, philosophical stratagems, meta‐mathematics, meta‐methodology, technological realistic principles, unification and differentiation of encyclopedic branches, systems science, information theory, cybernetics, biosystems, generalized vitality, computer and IT, thinking science, logic, OR, AI, PR, DM, modernization of yinyang analysis combining dialectics, sociology, economics, meta‐relativity, generalized quantification and scale theory, general process of birth‐growth‐ageing‐disease‐death, the inheritance and development of 300 scholars' researches, etc.

All of the topics concerned with are reduced to the actualizations of PVOR – pansystems variational OR: V−d(xy)=^*0^*/PRR′P′/0^**, which is an integrated synthesis of 20‐PanStemCells of PanConcepts and PanMethod, and embodies a specific pansystems summarization for the core of the true and the good. Furthermore, the formula “Pansystems Researches=^*(PVOR/0^**/Pan54787721/Everything)+^*0^*=^*Pan–netlike connections of thoughts and methods” is expanded with concrete applications.

Provides information on pansystems research.

The first Principia Mathematica (1686) by Sir Isaac Newton with reference to natural philosophy and his system of the world has largely contributed to the first revolution in scientific thinking in modern times. It has created the conceptual basis of modern science in the classical tradition by providing the tools of analysis and the technique of reasoning in terms of stability—from—within or, as we would say today, the model of stable equilibrium conditions.

The unity of our spirit makes it impossible to work toward a certain end without thinking that this end can and must be achieved, even if only in the distant future and through the work of later generations… Objective examination in the ups and downs in the history of law cannot and must not extinguish our faith in justice as a supreme human ideal. Even in the face of events which represent a setback or a deviation, that ideal remains unshaken as a criterion of value; without it, deviation would be meaningless. Even if contradicted by empirical facts, this ideal does not lose its ethical and deontological truth. These contradictions between “is” and “ought to be” can be neither permanent nor general. Giorgio del Vecchio, Man and Nature

States that a more humane society is the ultimate goal of modern society, along with economy and form of government. Posits that in this study the theory of cheating the masses under capitalism and socialism‐communism, is valid ipso facto under fascism and any form of dictatorship. Looks at the problem of methodology and history and discusses: the use of deception; accumulation of illegitimate power; and the spreading of instability, and the exploitation of the masses. Concludes that the great transformation in the West and the East may develop of its own accord, but not necessarily without help, for the betterment of mankind unless pointed in the right direction.

Melting universality, quantification and relative computability into a meta‐synthesis, pansystems theory develops an investigation on W‐fuzziness and 0*‐fuzziness connected with generalized conceptions such as derivative, equation, variational principle and OR. The purpose of this paper is to unify various mathematical structures, fuzziness categories, definitions of systems are unified within a general framework.

The paper includes topics: pansystems approach to fuzzy systems and relations, pansystems variational principle and Zadeh's extension principle, pansystems clustering and its fuzzy embodiment, pansystems topology and approximation to fuzziness, relative unification of fuzziness and roughness.

Zadeh extension principle about fuzziness transmission can be considered as a specific model of pansystems extremum principle, and so the more modes can be developed. Based on them a further investigation is present on pansystems clustering, which is a W‐fuzzy clustering, an extension or sublation of traditional one and fuzzy one.

Pansystems clustering embodies mutuality of many logoi of different subbraches with classification‐styled OR, including related interpromotions of the principles among knowledge rediscovery, data mining, mathematical reasoning and the investigations of fuzzy systems. W‐fuzziness and 0*‐fuzziness realize a relative unification for many logoi and principles.

The purpose of this paper is to ask whether a first‐order‐cybernetics concept, Shannon's Information Theory, actually allows a far‐reaching mathematics of perception allegedly derived from it, Norwich et al.'s “Entropy Theory of Perception”.

All of The Entropy Theory, 35 years of publications, was scrutinized for its characterization of what underlies Shannon Information Theory: Shannon's “general communication system”. There, “events” are passed by a “source” to a “transmitter”, thence through a “noisy channel” to a “receiver”, that passes “outcomes” (received events) to a “destination”.

In the entropy theory, “events” were sometimes interactions with the stimulus, but could be microscopic stimulus conditions. “Outcomes” often went unnamed; sometimes, the stimulus, or the interaction with it, or the resulting sensation, were “outcomes”. A “source” was often implied to be a “transmitter”, which frequently was a primary afferent neuron; elsewhere, the stimulus was the “transmitter” and perhaps also the “source”. “Channel” was rarely named; once, it was the whole eye; once, the incident photons; elsewhere, the primary or secondary afferent. “Receiver” was usually the sensory receptor, but could be an afferent. “Destination” went unmentioned. In sum, the entropy theory's idea of Shannon's “general communication system” was entirely ambiguous.

The ambiguities indicate that, contrary to claim, the entropy theory cannot be an “information theoretical description of the process of perception”.

Scrutiny of the entropy theory's use of information theory was overdue and reveals incompatibilities that force a reconsideration of information theory's possible role in perception models. A second‐order‐cybernetics approach is suggested.