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Human Culture and Science: Equality and Inequality as Foundations of Scientific Thought

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Abstract

We argue that the concepts of `human equality' and `inequality' play an important role in the structure of science and philosophy. When the value of `human inequality' predominates, scientific categories are formed in accordance with the principle of `hierarchical differentiation' and concepts remain closely tied to the objects they are referring to. Following Mirowski we define this as the `anthropometric stage' of human thought and development. Contrary, Mirowski's `syndetic stage' refers to societies where the value of `human equality' prevails. Here concepts appear that are universally applicable. However, because of their conventional nature these concepts cannot be `grasped' any longer by human intuition. Between the `anthropometric' and `syndetic' stages, a `lineamentric stage' appears, a period of transition from `human equality' to `human inequality'. Being both a bridge and gap between the two other stages, the `lineamentric' stage contains many contradictions between an `abstract attitude' and `concrete categories'. In this paper we examine the anthropometric, lineamentric and syndetic stages and discuss several examples taken from philosophy, logic, mathematics and physics.

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REFERENCES

  • Achterhuis, H.: 1988, Het rijk van de schaarste. Van Thomas Hobbes tot Michel Foucault. Baarn: Ambo.

    Google Scholar 

  • Aristotle. 1963. The Physics. 2 Vols. London: Heinemann.

    Google Scholar 

  • Aristotle: 1967. Texte zur Logik. München: Rowohlt.

    Google Scholar 

  • Aristotle: 1968. The Nichomachean Ethics. London: Heinemann.

    Google Scholar 

  • Aristotle: 1971. Politik. Zürich und Stuttgart: Artemis.

    Google Scholar 

  • Aristotle: 1983. Oikonomikos. Köonigstein: Verlag Anton Hain.

    Google Scholar 

  • Aristotle: 1993. Metaphysik. Stuttgart: Reclam.

    Google Scholar 

  • Augustin, A.: 1959, La cité de Dieu. Paris: Desclee de Brouwer.

    Google Scholar 

  • Bacon, F.: [1605] 1951, The Advancement of Learning and New Atlantis. London: Oxford University Press.

    Google Scholar 

  • Bacon, F.: [1620] 1986, Novum Organom. Paris: Presses Universitaires.

    Google Scholar 

  • Bartelink, G.J.M.: 1986, Het vroege christendom en de antieke cultuur. Muiderberg: Coutinho.

    Google Scholar 

  • Bell, E.T.: [1937] 1965, Men of Mathematics. 2 vols. Harmondsworth: Penguin Books.

    Google Scholar 

  • Bochenski, I.M.: [1956] 1970, Formale Logik. Freiburg: Verlag Karl Alber.

    Google Scholar 

  • Brown, P.: 1996, The Rise of Western Christendom, Triumph and Diversity AD 200-1000. Oxford: Blackwell.

    Google Scholar 

  • Charles, D.: 1991, Teleological Causation in the Physics. In L. Judson (ed.), Aristotle's Physics. A Collection of Essays. Oxford: Clarendon Press, 101–28.

    Google Scholar 

  • De Ley, H.: 1983, Geschiedenis van de wijsbegeerte der oudheid. Band I Deel I: De Ioniërs, Rijksuniversiteit Gent-Vrije Universiteit Brussel.

  • De Pater, W. and R. Vergauwen: 1992, Logica: Formeel en Informeel. Universitaire Pers: Leuven.

    Google Scholar 

  • Descartes, R.: [1637] 1991, Discours de la méthode. Saint-Amand: Editions Gallimard.

    Google Scholar 

  • Dethier, H.: 1993, Het gezicht en het raadsel. Profielen van Plato tot Derrida. Brussel: VUB-Press.

    Google Scholar 

  • Farrell, F.B.: 1994, Subjectivity, Realism, and Postmodernism – The Recovery of the World. Cambridge: Cambridge University Press.

    Google Scholar 

  • Feyerabend, P.: 1975, Against Method. London: NLB.

    Google Scholar 

  • Finley, M.I. (ed.): 1973, Problèmes de la terre en Grèce ancienne. Paris: Mouton.

    Google Scholar 

  • Flam, L.: 1952, Plato Descartes Kant. Antwerpen: Uitgeverij Ontwikkeling.

    Google Scholar 

  • Fukuyama, F.: 1992, The End of History and the Last Man. Harmondsworth: Penguin.

    Google Scholar 

  • Gehlen, A.: [1940, 1972] 1978, Der Mensch. Seine Natur und seine Stellung in der Welt. Wiesbaden: Akademische Verlagsgesellschaft Athenaion.

    Google Scholar 

  • Girard, R.: 1972, La violence et le sacré. Paris: Grasset.

    Google Scholar 

  • Girard, R.: 1978. Des choses cachées depuis la fondation du monde. Paris: Grasset.

    Google Scholar 

  • Girard, R.: 1982. Le bouc émissaire. Paris: Grasset.

    Google Scholar 

  • Grattan-Guinness, I: 1988, Living Together and Living Apart. On the Interactions between Mathematics and Logics from the French Revolution to the FirstWorld War. South African Journal of Philosophy7(2): 73–82.

    Google Scholar 

  • Greenberg, M.J.: [1972] 1974, Euclidean and Non-Euclidean Geometries. Development and History. San Francisco: W.H. Freeman and Company.

    Google Scholar 

  • Grene, M.: 1985, Descartes. Brighton, Sussex: The Harvester Press.

    Google Scholar 

  • Guthrie, W.K.C.: [1962] 1969, A History of Greek Philosophy. 5 vols.Cambridge: Cambridge University Press.

    Google Scholar 

  • Hanfling, O.: 1981, Logical Positivism. Oxford: Basil Blackwell.

    Google Scholar 

  • Harrison, C. and P. Woods (eds.): [1992] 1993, Art in Theory 1900–1990. An Anthology of Changing Ideas. Oxford: Blackwell Publishers, 123–213.

  • Heath, T.L. (ed.): [1908] 1956, The Thirteen Books of Euclid's Elements. New York: Dover Publications.

    Google Scholar 

  • Jaspers, K.: [1965] 1966, Descartes und die Philosophie. Berlin: Walter De Gruyter.

    Google Scholar 

  • Kaptein, R. and P. Tijmes: 1986, De ander als model en obstakel. Een inleiding in het werk van René Girard. Kampen: Kok Agora.

    Google Scholar 

  • Kneale, W. and M. Kneale: [1962] 1968, The Development of Logic. Oxford: Clarendon Press.

    Google Scholar 

  • Kuhn, T.S.: [1962] 1973, The Structure of Scientific Revolutions. Cambridge: Cambridge University Press.

    Google Scholar 

  • Kula, W.: 1986, Measures and Man. Princeton: Princeton University Press.

    Google Scholar 

  • Laudan, L.: 1977, Progress and its Problems. Towards a Theory of Scientific Growth. Henley: Routledge and Kegan Paul.

    Google Scholar 

  • Lovejoy, O.: 1978, The Great Chain of Being. Cambridge and London: Harvard University Press.

    Google Scholar 

  • Marx, K.: [1867, 1872] 1971, Das Kapital. Kritik der politischen Ökonomie. Band I: Der Produktionsprozeß des Kapitals. Frankfurt am Main: Ullstein.

    Google Scholar 

  • Mathijs, E. and B. Mosselmans: 1997, Van herbelevende waarheid naar afgebeelde schoonheid: de versluiering van het oorspronkelijk geweld bij Plato en Aristoteles. In L. Pijnenburg (ed.), Vijandbeelden in de filosofie. Wageningen: Landbouwuniversiteit, 67–71.

    Google Scholar 

  • Mathijs, E. and B. Mosselmans: 1998, Van Daedalus tot Pygmalion: Kunst en mimesis in het antropometrische stadium, Tijdschrift voor Filosofie60(3): 521–53.

    Google Scholar 

  • Mathijs, E. and B. Mosselmans: 1999, Art and Science in a Fragmented World: Einstein meets Magritte as a Forum for Communication. In D. Aerts, E. Mathijs and B. Mosselmans (eds.), Science and Art: The Red Book Einstein of Meets Magritte. Dordrecht: Kluwer, xvii–xxiii.

    Google Scholar 

  • Mathijs, E. and B. Mosselmans: 2000, Mimesis and the Representation of Reality: a Historical Worldview, Foundations of Science5(1): 3–41.

    Google Scholar 

  • Michel, P.-H.: 1950, De Pythagore à Euclide. Contribution à l'histoire des mathématiques préeuclidiennes. Paris: Les belles lettres.

    Google Scholar 

  • Mirowski, P.: 1984, Macro Economic Instability and the ‘Natural’ Processes in Early Neoclassical Economics, Journal of Economic History44(2): 345–354.

    Google Scholar 

  • Mirowski, P.: 1989, More Heat than Light. Economics as Social Physics: Physics as Nature's Economics. Cambridge: Cambridge University Press.

    Google Scholar 

  • Mosselmans, B. and E. Mathijs: 1998a,René Girard, het zondebokmechanismeen het denken van Aristoteles, De Uil van Minerva. Tijdschrift voor Geschiedenis en Wijsbegeerte van de Cultuur14(3): 179–194.

    Google Scholar 

  • Mosselmans, B. and E. Mathijs: 1998b. Natuurlijke ongelijkheid en hiërarchische differentiatie in de antropometrische wetenschappen van Aristoteles. In Hoenen, J.F.M. Maarten and M. Schijvenaars (red.), Metamorphose. Acten 20ste Nederlands-Vlaamse Filosofiedag. Nijmegen: Katholieke Universiteit, 299–306.

    Google Scholar 

  • Mosselmans, B. and E. Mathijs: 1999a. Similarity or Difference: the Case for Interdisciplinarity in Natural Sciences, Social Sciences, and Art and Aesthetics. In D. Aerts, E. Mathijs and B. Mosselmans (eds.), Science and Art: The Red Book of Einstein Meets Magritte. Dordrecht: Kluwer, 11–20.

    Google Scholar 

  • Mosselmans, B. and E. Mathijs: 1999b, Jevons's Music Manuscript and the Political Economy of Music, forthcoming in History of Political Economy31: 121–156.

    Google Scholar 

  • Mosselmans, B. and E. Mathijs: 2000, Science and Philosophy in the Anthropometric Stage, forthcoming in Proceedings of the XX. World Congress of History of Science, Liège.

  • Muijen, A.S.C.A.: 1988. Inleiding. In: F. Bacon (ed.), Het nieuwe Atlantis. Baarn: Ambo.

    Google Scholar 

  • Nietzsche, F.: [1889] 1988, Wie die ‘wahre Welt’ endlich zur Fabel wurde. Götzen-Dämmerung oder Wie man mit dem Hammer philosophirt. Kritische Studienausgabe Vol.6. München/Berlin/New York: Deutscher Taschenbuch Verlag/de Gruyter, 80–81.

    Google Scholar 

  • Pekary, T.: 1979, Die Wirtschaft der griechisch-römischen Antike. Wiesbaden: Franz Steiner.

    Google Scholar 

  • Pelckmans, P. and G. Vanheeswijck (eds.): 1996, René Girard: het labyrint van verlangen. Kapellen-Kampen: Pelckmans-Kok Agora.

    Google Scholar 

  • Plato.: [1957] 1988, Phaidros. Stuttgart: Reclam.

    Google Scholar 

  • Plato: 1984, Lysis. Verzameld werk Deel 3, Amsterdam: De Driehoek, 61–103.

    Google Scholar 

  • Plato: 1987, Parmenides. Stuttgart: Reclam.

    Google Scholar 

  • Plato: 1991, Politeia. Wat is rechtvaardigheid? Verzameld werk Deel 10. Amsterdam: De Driehoek.

    Google Scholar 

  • Popper, K.R.: [1963] 1969, Conjectures and Refutations. The Growth of Scientific Knowledge. London: RKP.

    Google Scholar 

  • Richards, J.L.: 1979, The Reception of a Mathematical Theory: Non-Euclidean Geometry in England, 1868–1883. In B. Barnes and S. Shapin (eds.), Natural Order. Historical Studies of Scientific Culture. Beverly Hills/London: Sage, 143–166.

    Google Scholar 

  • Röd, W.: 1976, Die Philosophie der Neuzeit 1. Von Francis Bacon bis Spinoza. München: C.H. Beck.

    Google Scholar 

  • Ruccio, D., J. Graham and J. Amariglio: 1996, The Good, the Bad and the Different: Reflections on Economics and Aesthetic Value. In Klamer, A. (ed.), The Value of Culture. On the Relationship between Economics and Art. Amsterdam: Amsterdam University Press, 56–73.

    Google Scholar 

  • Russell, B.: [1946] 1979, History of Western Philosophy. London: Unwin Paperbacks.

    Google Scholar 

  • Schurig, V.: 1976, Die Entstehung des Bewußtseins. Frankfurt am Main: Campus-Verlag.

    Google Scholar 

  • Smith, D.E. and M.L. Latham (eds.): [1637] 1954, The Geometry of René Descartes. With a Facsimile of the First Edition. New York: Dover.

    Google Scholar 

  • Tijmes, P.: 1995, De romaneske waarheid, Tijdschrift voor Filosofie57: 667–691.

    Google Scholar 

  • Tijmes, P.: 1996, Sacraliteit en schaarste. De dubbele huishouding van demimese. In P. Pelckmans and G. Vanheeswijck (red.), René Girard. Het labyrinth van het verlangen. Kapellen-Kampen: Pelckmans-Kok Agora, 31–49.

    Google Scholar 

  • Tijmes, P.: 1997, Repliek, Tijdschrift voor Filosofie59: 102–106.

    Google Scholar 

  • Toulmin, S.: 1990, Cosmopolis: the Hidden Agenda of Modernity. New York: Free Press.

    Google Scholar 

  • Trampnell, W.H.: 1988, The Treatment of Christian Doctrine by Philosophers of the Natural Light from Descartes to Berkeley. Oxford: The Voltaire Foundation.

    Google Scholar 

  • Van Bendegem, J.P.: 1991, Inleiding tot de moderne logica en wetenschapsfilosofie: een terreinverkenning. Brussel: VUB Press.

    Google Scholar 

  • Van Der Waerden, B.L.: 1979, Die Pythagoreer. Religiöse Bruderschaft und Schule der Wissenschaft. Zürich: Artemis.

    Google Scholar 

  • Vanheeswijck, G.: 1997. Discussie: De romaneske waarheid bij René Girard, Tijdschrift voor Filosofie59: 89–101.

    Google Scholar 

  • Vergote, A.: 1996, Rene Girards absolute theorie, Tijdschrift voor Filosofie58: 128–141.

    Google Scholar 

  • Weyembergh, M.: 1991, Entre politique et technique. Aspects de l'utopisme contemporain. Paris: Librairie Philosophique J. Vrin.

    Google Scholar 

  • Whitehead, A.N.: 1925, Science and the Modern World. Utrecht/Antwerpen: Het Spectrum, 140–142. New York: New American Library.

    Google Scholar 

  • Wittgenstein, L.: [1953] 1967, Philosophische Untersuchungen. Frankfurt am Main: Suhrkamp.

    Google Scholar 

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Mosselmans, B., Mathijs, E. Human Culture and Science: Equality and Inequality as Foundations of Scientific Thought. Foundations of Science 5, 339–378 (2000). https://doi.org/10.1023/A:1011331321486

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