Rinat M. Nugayev

A methodological model of origin and settlement of theory-choice situations (previously tried on the theories of Einstein and Lorentz in electrodynamics) is applied to modern Theory of Gravity. The process of origin and growth of empirically-equivalent relativistic theories of gravitation is theoretically reproduced. It is argued that all of them are proposed within the two rival research programmes – (1) metric (A. Einstein et al.) and (2) nonmetric (H. Poincare et al.). Each programme aims at elimination of the cross-contradiction between the special theory of relativity and Newton’s theory of gravitation. New arguments in favor of Einstein’s programme are given. Nevertheless, this does not imply the necessity to rule out all the nonmetric theories, since Einstein’s and Poincare’s programmes are alternative only as different tools of the cross-contradiction elimination. In the other respects these programmes are complementary: description, explanation and prediction of gravitational experimental data entails the usage of the languages of nonmetric theories as well as of metric ones. The part of the present investigation elucidating the necessity of nonmetric theories is an implementation of the ideas of A.Z. Petrov, the founder of Kazan University Relativity Department. Late Alexei Zinovievich had frequently punctuated that the notion of Riemann space-time continuum common for all metric theories obfuscates all the gravitational notions considerably and hampers the analogies with other physical theories at hand. Since the ambiguity is a hallmark of all the general relativism notions, approach to their definitions “should be determined not by analogies and contingent facts, but by general considerations linked the physical measurements theory… No matter how far the events lie out of the frames of classical physical explanations, all the experimental data should be described by classical notions” (Petrov, 1965,pp. 59,66). Key words: Kip S. Thorne, A.P. Lightman, Stepin, theory of gravity .

Arguments pro and contra convergent realism – underdetermination of theory by observational evidence and pessimistic meta-induction from past falsity – are considered. It is argued that, to meet the counter-arguments challenge, convergent realism should be considerably changed with a help of modification of the propositions from this meta-programme “hard core” or “protecting belt”. Two well-known convergent realism rivals – “entity realism” of Nancy Cartwright and Ian Hacking and John Worrall’s “structural realism” – are considered. Entity realism’s main drawback is fundamental laws underestimation. As for structural realism, its limitation of theoretical propositions by pure structural ones is ineffective. One always can transform propositions about objects into propositions about structures and vice versa. Both conceptions are kinds of “metaphysical revisionism” that tries to reformulate the good old convergent realism propositions using more decent language and applying ad hoc modifications of the solutions first obtained within the anti-realist epistemological meta-programmes. It is stated that to overcome the troubles of convergent realism one has to turn from classical or “metaphysical” realism to nonclassical or “internal” one and to coherent theory of truth. Internal realism has no troubles in solving the problem of empirically-equivalent theoretical descriptions and historical meta-induction problem, but gets the problem of scientific knowledge objectivity instead. Where does this objectivity come from? One of the answers is proposed by the scientific knowledge growth model elaborated by Rinat Nugayev and by Peter Galison. Each paradigm is a local viewpoint determined by the peculiarities of a culture into which its creator . was submerged. However, the meeting of the different paradigms leads to their interaction; as a result, the crossbred theoretical objects are constructed. Through these systems the infiltration of one paradigm on the other’s domain takes place. After the old paradigms’ grinding the new ones emerge that reconcile to each other much better than the old ones. Scientific theories reconcile results in elimination of many contingent details. In the process of competition more universal components survive. It is demonstrated that the process of objective knowledge genesis takes place in modern superstring theory too. The list of its drawbacks is rather long; it is clear that the theory cannot pretend on the role of the Theory of Everything. Nevertheless the process of argumentation pro and contra convergent realism – underdetermination of theory by observational evidence and pessimistic meta-induction from past falsity – are considered. It is argued that, to meet the counter-arguments challenge, convergent realism should be considerably changed with a help of modification of the propositions from this meta-programme “hard core” or “protecting belt”. It is stated that to overcome the troubles of convergent realism one has to turn from classical or “metaphysic” of quantum field theory and general relativity interpenetration have already begun.

A comprehensible model is proposed aimed at an analysis of the reasons for theory change in science. According to model the origins of scientific revolutions lie not in a clash of fundamental theories with facts, but of “old” fundamental theories with each other, leading to contradictions that can only be eliminated in a more general theory. The model is illustrated with reference to physics in the early 20th century, the three “old” theories in this case being Maxwellian electrodynamics, statistical mechanics and thermodynamics. Modern example, referring to general relativity and quantum field theory, is considered. Key words: Popper, Kuhn, Stepin, Einstein

What were the reasons of the Copernican Revolution ? How did modern science (created by a bunch of ambitious intellectuals) manage to force out the old one created by Aristotle and Ptolemy, rooted in millennial traditions and strongly supported by the Church? What deep internal causes and strong social movements took part in the genesis, development and victory of modern science? The author comes to a new picture of Copernican Revolution on the basis of the elaborated model of scientific revolutions that takes into account some recent advances in philosophy, sociology and history of science. The model was initially invented to describe Einstein’s Revolution of the XX century beginning. The model considers the growth of knowledge as interaction, interpenetration and unification of the research programmes, springing out of different cultural traditions. Thus, Copernican Revolution appears as a result of revealation and (partial) resolution of the dualism , of the gap between Ptolemy’s mathematical astronomy and Aristotelian qualitative physics. The works of Copernicus, Galileo, Kepler and Newton were all the stages of mathematics descendance from skies to earth and reciprocal extrapolation of earth physics on skies. The model elaborated enables to reassess the role of some social factors crucial for the scientific revolution. It is argued that initially modern science was a result of the development of Christian Weltanschaugung . Later the main support came from the absolute monarchies. In the long run the creators of modern science appeared to be the “apparatchics” of the “regime of truth” built-in state machine. Natural science became a part of ideological state apparatus providing not only scientific education but the internalization of values crucial for the functioning of state.

Abstract. The theory-change epistemological model, tried on maxwellian revolution and special relativity genesis, is unfolded to apprehend general relativity genesis. It is exhibited that the dynamics of general relativity (GR) construction was largely governed by internal tensions of special relativity and Newton’s theory of gravitation. The research traditions’ encounter engendered construction of the hybrid domain at first with an irregular set of theoretical models. However, step by step, on revealing and gradual eliminating the contradictions between the models involved, the hybrid set was put into order with a help of equivalence principle. A hierarchy of theoretical models starting from the crossbreeds and up to usual hybrids was moulded. The claim to put forward is that Einstein’s unification design could be successfully implemented since his programme embraced the ideas of the Nordström research programme, as well as the presuppositions of the programme of Max Abraham. By and large Einstein’s victory over his rivals became possible because the core of his research strategy was formed by the equivalence principle comprehended in the light of Kantian epistemology. It is stated that the theories of Nordström and Abraham contrived before November 25, 1915, were not merely the scaffolds to construct the GR basic model. They are still the necessary part of the whole GR theory necessary for its common use. Key words: Einstein, Nordstrom, Abraham, general relativity.

This book presents an elaborate analysis of the widely discussed problem of reconstruction of scientific theory change, based on material from theoretical physics. It gives a detailed , although not complete, analysis of the ideas of such authors as T. Kuhn, I. Lakatos, P. Feyerabend, E. Zahar and G. Holton, the empiristic account of the notion of “crucial experiment”, as well as of some leading Russian philosophers of science such as V. Stepin, E. Mamchur and V. Branskii. On the positive side, the book offers an original model of reconstruction of scientific theory change. As the author himself insists on several occasions, his model does not pretend to completeness. Nugayev’ s model of scientific theory change is extensively tested on the example of the Lorentz-Einstein transition. The result is an empirical justification of his model, which shows not only that it works quite well in this particular reconstruction, but also that it explains some historical facts that have been left aside by some other authors.

It is argued that the origins of modern science can be revealed due to joint account of external and internal factors. The author tries to keep it in mind applying his scientific revolution model according to which the growth of knowledge consists in interaction, interpenetration and even unification of different scientific research programmes. Hence the Copernican Revolution as a matter of fact consisted in realization and elimination of the gap between the mathematical astronomy and Aristotelian qualitative physics in Ptolemaic cosmology. Yet the very realization of the contradictions became possible because at the first stages European science was a result of Christian Weltanschaugung evolution with its gradual elimination of pagan components. Key words: modern European science, Christian Weltanschaugung.

In his book “Reconstruction of Scientific Change” R.M. Nugayev proposes a new model of theory change by analyzing the reasons for theory change in science. Nugayev’s theoretical concept is based on a realist’s philosophical attitude. The most important notions of Nugayev’ s conception of theory change are “theories’ cross” and “crossbred objects”, which he takes from the terminology of other Russian philosophers of science (Bransky, Podgoretzky, Smorodinsky). His investigations often refer to several famous Western philosophers. Yet his study is not free of some drawbacks. Nevertheless, Nugayev’s book is worth reading and discussing within the current debate about the structure of scientific revolution and theory changes.

Maxwellian electrodynamics genesis is considered in the light of the author’s theory change model previously tried on the Copernican and the Einstein revolutions. It is shown that in the case considered a genuine new theory is constructed as a result of the old pre-maxwellian programmes reconciliation: the electrodynamics of Ampere-Weber, the wave theory of Fresnel and Young and Faraday’s programme. The “neutral language” constructed for the comparison of the consequences of the theories from these programmes consisted in the language of hydrodynamics with its rich content of analogous models ranging from the uncompressible fluid up to molecular vortices. The programmes’ meeting led to construction of the whole hierarchy of crossbred objects beginning from the displacement current and up to common hybrids. After that the interpenetration of the pre-maxwellian programmes began that marked the beginning of theoretical schemes of optics and electromagnetism unification. Maxwell’s programme did assimilate some ideas of the Ampere-Weber programme, as well as the presuppositions of the programmes of Fresnel and Faraday; and the significance of this fact for further methodology of scientific research programmes development is discussed. It is argued that the core of Maxwell’s unification strategy was formed by Kantian epistemology looked through the prism of William Whewell and such representatives of Scottish Enlightenment as Thomas Reid and William Hamilton. All these enabled Maxwell to start to unify not only optics and electromagnetism, but British and continental research traditions as well. Maxwell’s programme did supersede the Ampere-Weber one because Maxwell did put forward as a synthetic principle the idea, that differed from that of Ampere-Weber by its flexible and contra-ontological, strictly epistemological, Kantian character. For Maxwell, ether was not the last building block of physical reality, from which fields and charges should be constructed . “Action at a distance”, “incompressible fluid”, “molecular vortices” were only analogies for Maxwell, capable to direct the researcher on the “right” mathematical relations. From the “representational” point of view all this hydrodynamical models were doomed to failure efforts to describe what can not be described in principle – things in themselves, the “nature” of electrical and magnetic phenomena. On the contrary, Maxwell aimed his programme to find empirically meaningful mathematical relations between the electrodynamics basic objects, i.e. the creation of inter - coordinated electromagnetic field equations system. Namely the application of this epistemology enabled Hermann von Helmholtz and his pupil Heinrich Hertz to arrive at such a version of Maxwell’s theory that served a heuristical basis for the radiowaves discovery.

The aim of the paper is to demonstratethat Special Relativity and the Early Quantum Theory were created within the same programme of statisticalmechanics, thermodynamics and maxwellianelectrodynamics reconciliation. I shall try to explainwhy classical mechanics and classicalelectrodynamics were ``refuted'''' almost simultaneouslyor, in more suitable terms for the present congress,why did the quantum revolution and the relativisticone both took place at the beginning of the 20-thcentury. I shall argue that the quantum andrelativistic revolutions were simultaneous since theyhad a common origin -- the clash between thefundamental theories of the second half of the 19-thcentury that constituted the ``body'''' of ClassicalPhysics. The revolution''s most dramatic pointwas Einstein''s 1905 photon paper that laid thefoundations of both Special Relativity and OldQuantum Theory. Hence the dialectic of the oldtheories is crucial for theory change. Modern physicsbegan with Einstein''s reconciliation ofelectrodynamics, mechanics and thermodynamics in 1905and his unification of Special Relativity andNewtonian Theory of Gravity. Or, in a more generalsocial context: progressive scientific change can bedescribed not in Weberian terms of zweckrationalaction forcing out all the other forms of action onlybut in terms of Habermas''s communicative rationalityencouraging the establishment of mutual understandingbetween the various scientific communities also.Einstein''s programme constituted a progressive stepwith respect to its rivals not because it couldexplain more ``facts'''' or was more ``mathematical''''. Itwas better than its rivals because it constituted abasis of communication and interpenetration betweenthree main paradigms of 19-th century physics. Ofcourse in the long run it resulted in empiricalsuccesses.

What are the reasons of the second scientific revolution that happened at the beginning of the XX century? Why did the new physics supersede the old one? The author tries to answer the subtle questions with a help of the epistemological model of scientific revolutions that takes into account some recent advances in philosophy, sociology and history of science. According to the model, Einstein’s Revolution took place due to resolution of deep contradictions between the basic classical research traditions: Newtonian mechanics, maxwellian electrodynamics, thermodynamics and statistical mechanics. As a result, two new research programmes – relativistic and quantum- had been constructed. It was the interaction between them that formed the interdisciplinary context of Einstein’s Revolution.

The aim of this book, written by a researcher at the Tatarstan Academy of Sciences, is to examine how and why theories change in science. Nugayev’s analysis, and his many examples, are confined to mathematically formalized theories of physics. Nugayev’s ideas are inspired by, and relate to, Russian scholars. His approach is primarily philosophical and clearly in the analytical tradition of Popper, Kuhn, Lakatos, Feyerabend, Stegmuller and others. Although Nugayev’s book is primarily addressed to philosophers, it is also of interest to the philosophically inclined historian of science.

The model of scientific revolution genesis and structure, extracted from Einstein’s revolution and considered in my previous publications, is applied to the Copernican one . According to the model, Einstein’s revolution origins can be understood due to occurrence and partial resolution of the contradictions between main rival classical physics research programmes : newtonian mechanics, maxwellian electrodynamics, thermodynamics and Boltzmann’s statistical mechanics. In general the growth of knowledge consists in interaction, interpenetration and even unification of different scientific research programmes. It is argued that the Copernican revolution also happened due to realization of a certain dualism – now between mathematical astronomy and Aristotelian qualitative physics in Ptolemy’s cosmology and the corresponding efforts to eliminate it. The works of Copernicus, Galileo, Kepler and Newton all were the stages of the mathematics descendance from skies to earth and reciprocal extrapolation of earth physics on divine phenomena. Yet the very realization of the gap between physics and astronomy appeared to be possible because at least at its first stages modern science was a result of Christian Weltanschaugung development with its aspiration for elimination of pagan components. -/- Key words: scientific revolution, modernity, Christian Weltanschaugung, Copernicus, Ptolemy.