Abstract
Scarcely any term connects art and science more closely than symmetry. This was already a theme in ancient times, as is found in Vitruvius, for example. On the beach of an unknown island, a shipwrecked traveler finds neatly arranged geometric figures. Can he conclude from this that there is an intelligent creator (perhaps even a god)?
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References
B. Pascal, Oeuvres complètes, L. Lafuma, ed. (Paris: Seuil, 1963) p. 582. In the ordinary numbering system this is Lafuma No. 580 or Brunschvick No. 28. The original quote is as follows: “Symétrie, en ce qu’on voit d’une vue, fondée sur ce qu’il n’y a pas de raison de faire autrement. Et fondée aussi sur la figure de l’homme. D’où il arrive qu’on ne veut la symétrie qu’en largeur, non en hauteur, ni profondeur.”
J.W. v. Goethe, The Collected Works. Selected Poems, Christopher Middleton, ed. and trans., vol. 1 (Princeton: Princeton UP, 1994) p. 179.
J. Burnet, Early Greek Philosophy, 4th ed., Fragment No. 109 (London: Black, 1945) pp. 246, 221
G.W.F. Hegel, Werke in zwanzig Bänden, vol. 18 (Frankfurt am Main: Suhrkamp, 1971) p. 347.
Hegel, vol. 18, pp. 180,320.
H. Weyl, Symmetry (Princeton, N.J.: Princeton University Press, 1952).
Leonardo da Vinci, Selections from the Notebooks, J.R. Richter, ed. (Oxford: Oxford University Press, 1952) pp. 145 ff.
Leonardo da Vinci, Notebooks, E. MacCurdy, ed. (New York: Reynal & Hitchcock, 1939) p. 206.
A. Dürer, Schriftlicher Nachlaß, 2nd ed., H. Faensen, ed. (Berlin: Union Verlag, 1963) p. 173 ff.
C.-L. de S. Montesquieu, Œuvres complètes, vol. 2, R. Gaillois, ed. (Paris: Pléiade, Gallimard, 1951) p. 1240.
D’Arcy E. Thompson, On Growth and Form (Cambridge: Cambridge University Press, 1942).
G.W. Leibniz, The Monadology and Other Philosophical Writings, R. Latta, ed. (London-New York: Oxford University Press, 1925).
E. Chargaff, Experientia 6 (1950) p. 201.
J.D. Watson and F.H.C. Crick, Nature 171 (1953) p. 737.
C.P Fitzgerald, China, A Short Cultural History (New York and London: Appleton-Century, 1938) p. 34.
References
Magdolna and Istvàn Hargittai, Symmetry through the Eyes of a Chemist (Weinheim: 1986).
Magdolna und István Hargittai, Symmetry: A Unifying Concept, (Bolinas,CA:1993).
References
Victor Vasarely, Vasarely (New York: 1978).
Gaston Diehl, Vasarely (1982).
Eva Hárs, Vasarely (1983).
References
Mimosen — Rosen — Herbstzeitlosen. Künstlerinnen. Positionen 1945 bis heute, exhibition cat. (Krems: Kunsthalle, 2003).
Des Eisbergs Spitze. Museum auf Abruf, Berthold Ecker, Wolfgang Hilger (eds.) (Vienna: 1998).
References
Retrospective, Simon Hantaï (Paris: MNAM, Centre Georges Pompidou, 1976).
Simon Hantaï (Venice: Venice Biennial, 1982).
Anne Baldasari, Simon Hantaï (Paris: Centre Georges Pompidou, éditions du MNAM, 1976).
Georges Didi-Huberman (ed.), L’Étoilement, conversation avec Hantaï (Paris: éditions di Miniut, 1998).
References
Hans-Ulrich Obrist, Gespräch mit Walter Obholzer (Vienna: Galerie Metropol, 1992).
Walter Obholzer (Salzburg: Salzburger Kunstverein, 1994).
References
Sabina Hörtner (Vienna: Casablanca Galerie, 1996).
Sabina Hörtner. 01 00 99 98 97, (Vienna: Triton, 2001).
Ulrike Lederer, Hannes Priesch (eds.), Death in the Studio (New York, 2002).
References
Gruber, Bérczi, Zoop (eds.), Symmetry in Science IV. Biological and biophysical systems, (New York: Plenum Press, 1990).
Szaniszló Bérczi, From Crystals to Planetary Bodies (Budapest: Academic Press, 1991).
References
Matthias Schramm, “Roger Bacons Begriff vom Naturgesetz,” in: Peter Weimar (ed.), “Die Renaissance der Wissenschaften im 12. Jahrhundert” (Zurich/Munich: Artemis 1981): 197.
Cf. Walter Thirring: “Do the Laws of Nature Evolve,” in M.P. Murphy and L.A.J O’Neill (eds.), What is Life? The Next Fifty Years. Speculations on the Future of Biology, Cambridge: Cambridge University Press): 131–136; and Michael Stöltzner & Walter Thirring: “Entstehen neuer Gesetze in der Evolution der Welt,” Naturwissenschaften 81 (1994), pp. 243–249; from a more philosophical perspective, cf. my “Levels of Physical Theories,” in: W. DePauli-Schimanovich, E. Köhler, F. Stadler (eds.): “The Foundational Debate,” Vienna Circle Institute Yearbook 3, Dordrecht: Kluwer, 1995): 47–64.
Cf. Wesley C. Salmon, Scientific Explanation and the Causal Structure of the World (Princeton: Princeton University Press, 1984).
Actually, Edgar Zilsel (1891–1944) counted himself among the Circle’s periphery. For an overview of his life and principal interest, see Section 3 of Nadja Rottner’s contribution in “Beyond Art.” Some of the few scholarly studies can be found in Rudolf Haller, Friedrich Stadler (eds.): Wien—Berlin—Prag. Der Aufstieg der wissenschaftlichen Philosophie (Vienna: Hölder-Pichler-Tempsky, 1993).
Edgar Zilsel: “The Genesis of the Concept of Physical Law,” Philosophical Review LI (1942), 246f.
ibid., 249.
ibid., 245.
Cf. Matthias Schramm: “Symmetrie—zur Geschichte von Wort und Sache,” in: Inga Hosp (ed.): Symmetrien, Dynamik, Strukturen—Bozner Treffen 1990 (Bozen: Athesiadruck, 1991).
Zilsel, op.cit, 267.
ibid., 255.
Schramm: “Roger Bacons...,” 197.
Schramm, “Roger Bacons...,” 203f.
Frank J. Tipler: The Physics of Immortality: modern cosmology God and the resurrection of the dead (London: Macmillan, 1995).
ibid., p. 21.
This holds true at least for Frank J. Tipler, op. cit.
Since the Sokal hoax, literature on this topic abounds. An interesting collection is Noretta Koertge (ed.): A House Built on Sand. Exposing Postmodernist Myths About Science (Oxford: Oxford University Press, 1998).
References
K. Gerbel and P. Weibel, ed., “Endo and Nano — The World from Within,” exhibit, cat. ars electronica 1992 (Linz, Austria: BVS-Verleger, 1992).
O.E. Roessler, “Endophysics-The World as an Interface,” P. Weibel, ed., World Scientific (Singapore 1998). Compare also O.E. Roessler, Endophysik — die Welt des inneren Beobachters, P. Weibel, ed. (Berlin: Merve-Verlag).
D. Goltz, “The Inner World of the Outer World as an Internal World” (in German), Documenta X (Kassel, 1997).
P. Weibel and O.E. Roessler, “Endophysics — New Perspectices of Physics” (in German), August 19, 1997, Documenta X, 100 Days — 100 Guests, C. David, ed., an hour-long video presentation on the Internet (http://www.mediawebtv.de/dx/0819/gaeste.frame.html)
K. Berrin, ed., Art of the Huichol Indians (New York: Harry N. Abrams Publishers, 1978) p. 132.
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Chargaff, E. et al. (2007). Symmetry breaking symmetry. In: Beyond Art: A Third Culture. Springer, Vienna. https://doi.org/10.1007/3-211-37846-4_3
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DOI: https://doi.org/10.1007/3-211-37846-4_3
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