The Copernican Long Awaited Breakthrough

Reconciliation of the Blunt Earth Physics and the Immaculate Mathematics of the Skies


  • Rinat Nugayev Volga Region State Academy


Aristotelian qualitative physics, Ptolemaic mathematical astronomy, monotheistic  Weltanschauung, Copernican breakthrough


The Copernican inextricable revolution is scrutinized in the distinctive context of intense interaction and profound interpenetration of Aristotelean and Ptolemaic subtle theoretical languages. It is elicited that already within the Ptolemaic sophisticated research program the mathematical exactness increasingly deviated from the blunt tenets of Aristotelean qualitative physics though well-grounded empirically. Aristotelian - Ptolemaic heathen cosmology could not help but be exposed to repeated severe attacks during the European Middle Ages since it  apparently confronted the stout principles of monotheism not admitting the strict demarcation line between the celestial and mundane realms. All seemingly different worlds should have one and the same Creator. Henceforth the Copernican startling breakthrough should be evaluated in the refined scope of further clarification of the tremendous gap between astronomy and physics and the subsequent commencement of effective efforts to eradicate it in the favorable monotheistic social-cultural context of Christian Weltanschauung enforcement. The posterior indispensable  contributions of Galileo Galilei, Johann Kepler, Rene Descartes and Isaac Newton incarnated  the stiff milestones of the mathematics descent from sublime  Skies to sinful Earth and the reciprocal ascent of Earth physics in comprehending  the   distinctive Divine phenomena.


Ariew, Roger, ‘The phases of Venus before 1610’, Studies in History and Philosophy of Physical Science, vol. 18, 1989, pp. 81-92.

Aristotle, Physics, trans. R.P. Hardy and R.K. Goye, eBooks @ Adelaide, 2007a.

Aristotle , Metaphysics, trans. W.D. Ross, eBooks @ Adelaide, 2007b.

Barker, Peter and Goldstein, Bernard R., ’Theological Foundations of Kepler’s Astronomy’, Osiris, vol. 16, 2001, pp.88-113.

Blackwell, Richard, ‘Descartes’s Laws of Motion’, Isis, vol.57, no 2, 1966.

Burtt, Edwin Arthur, The Metaphysical Foundations of Modern Science. N.Y., Dover Publications,2003.

Chaunu, Pierre, La Civilisation de l’Europe Classique. Paris, Les Editions Arthaud,1984.

Copernicus, Nicholas, On the Revolutions of the Heavenly Bodies, trans. Edward Rosen, London, Macmillan, [1543], 1972’

Danilov, Yu.A., Smorodinsky, J.A., ‘Johannes Kepler: from ‘Misterium’ to ‘Harmony’’, Soviet Science : Uspekhi, vol.109, 1,1973, pp. 175-209 (in Russian).

Feyerabend, Paul, Against Method.4th ed. NY, Verso Books, [1975] . 2010.

Fitzpatrick, Richard, A Modern Almagest. An Updated Version of Ptolemy’s Model of the Solar System, Lulu Enterprises, 2010.

Galileo, Galilei, The Assayer, trans. Stillman Drake. New York, Doubleday, [1623]. 1957.

Galileo, Galilei, Dialogue Concerning the Two Chief Systems – Ptolemaic and Copernican, trans. Stillman Drake, New York, The Modern Library, [1632] .2001.

Gingerich, Owen ,The Eye of Heaven. Berlin : Springer, 1997.

Gingerich, Owen Jay, The Book Nobody Read, New York: Walker, 2004.

Husserl, Edmund, The Crisis of European Sciences and Transcendental Phenomenology, trans. David Carr, Northwestern University Press, [1936] ,1970.

Jones, Alexander, ‘Ptolemy’s Mathematical Models and their Meaning’, in: M. Kinyon and G. van Brummelen (eds.) Mathematics and the Historian’s Craft. Springer, pp.23-42, 2005.

Kepler, Johannes, Mysterium Cosmographicum, trans. F.M. Duncan as ‘The Secret of the Universe’, New York, Abaris, [1596], 1981.

Kepler, Johannes, Astronomia Nova, in: Selections from Kepler’s Astronomia Nova: A Science Classics Module for Humanities Studies, trans.W.H. Donahue, Santa Fe, NM: Green Lion Press, [1609], 2005.

Kline, Morris, Mathematics and the Search for Knowledge, Oxford, Oxford University Press, 1986.

Koyré, Alexander, From the Closed World to the Infinite Universe. Baltimore: John Hopkins Press, 1957.

Kuhn, T.S., The Copernican Revolution: Planetary Astronomy in the Development of Western Thought. Cambridge: Harvard University Press, 1957.

Kuhn, T.S., The Structure of Scientific Revolutions. Cambridge, Harvard University Press, 1961.

Kuhn, T.S., The Function of Dogma in Scientific Research, in A.C. Crombie (ed.) Scientific Change, London, Heinemann, 1963.

Kuhn, Thomas, Objectivity, Value Judgement and Theory Choice, in The Essential Tension, Chicago, University of Chicago Press, 1977. Lakatos, Imre & Zahar, Elie, ’Why did Copernicus’s Research Program Supersede Ptolemy’s?’ in The Copernican Achievement, University of California, Los Angeles, ch. X, 1974, pp.168-192.

Lakatos, Imre, ‘Falsification and the Methodology of Scientific Research Programs’, in: I. Lakatos & A. Musgrave (eds.) Criticism and the Growth of Knowledge, Cambridge, CUP,1970, pp.91-195.

Lakatos, Imre, The Methodology of Scientific Research Programmes. Philosophical Papers, volume 1. Edited by J. Worral & G. Currie, Cambridge, Cambridge University Press, 1978.

Lial, Margaret L., Miller Charles David, Hornsby John E. , Beginning Algebra , Harper Collins College Publishers, 1995.

Linton, Cristopher M. From Eudoxes to Einstein: a history of mathematical astronomy. Cambridge University Press, 2010.

Lloyd, G.E.R., Methods and Problems in Greek Science. Cambridge: Cambridge University Press, 1999.

Lorentz, H.A., The theory of electrons and its applications to the phenomena of light and radiant heat. New York, G.F. Stechart & Co, 1909.

Mach, Ernst, The Science of Mechanics: A Critical and Historical Account of its Developments. Lightning Source Inc., [1883] , 2007.

Murschel, A., ‘The structure and function of Ptolemy's physical hypotheses of planetary motion’. Journal for the History of Astronomy, vol. XXVI, 1985, pp.33-61.

Neugebauer, Otto, A History of Ancient Mathematical Astronomy. 3 vols. Berlin ,Springer, 1975. Newton, Isaac, The Mathematical Principles of Natural Philosophy, trans. Andrew Motte. With the preface of Mr. Roger Cotes. New York, Daniel Ades, [1687], 1846. Nugayev, Rinat, ‘A Study of Theory Unification’, The British Journal for the Philosophy of Science, vol. 36, 1985a, pp.159 – 73. Nugayev, Rinat M., Reconstruction of Mature Theory Change: A Theory –Change Model. Frankfurt am Main, Peter Lang, 1999.

Nugayev, Rinat, ‘Communicative Rationality of the Maxwellian Revolution’, Foundations of Science, vol. 20(4), 2015, pp.447 – 478. Nugayev, Rinat M., The Planck-Einstein Breakthrough: Reconciliation of the Pivotal Research Programs of Classical Physics. Montreal, The Minkowski Institute Press, 2020.

Planck, M., Acht Vorlesungen über theoretische Physik. Leipzig: Hirzel. Originally delivered at Columbia University, 1909, and translated as ‘Eight Lectures on Theoretical Physics’ by A.P. Wills. New York, Columbia University Press, 1915. Plato, Timaeus, trans. D.J. Zeyl, Indianapolis and Cambridge, Massachusetts: Hackett Publishing Co., [386 BC], 2000. Popper, Karl, The Logic of Scientific Discovery. London and New York, Routledge, [1935].2002. Ptolemy, Claudius, The Almagest, trans. G.J. Toomer with a foreword by Owen Gingerich, Princeton University Press, 1998. Ptolemy, Claudius, Tetrabiblos, trans. J.M. Ashmand, Astrology Center of America, 2005.

Zahar, E. ‚Did Einstein’s program supersede Lorentz’s?’, The British Journal for the Philosophy of Science, vol.24, 1973, pp. 95-123, 226-262.




How to Cite

Nugayev, R. (2023). The Copernican Long Awaited Breakthrough: Reconciliation of the Blunt Earth Physics and the Immaculate Mathematics of the Skies. Cosmos and History: The Journal of Natural and Social Philosophy, 19(2), 255–278. Retrieved from