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Abstract

According to Ernst Cassirer, the transition from the concept of substance to that of mathematical function as a guide of knowledge coincided with the end of ancient and the beginning of modern theoretical thought. In the first part of this article we argue that a similar transition has also taken place in the practical sphere, where mathematical function occurs in one of its specific forms, which is that of the algorithm concept. In the second part we argue that with the rise of modernity the idea of substance and the related concepts of category and classification, which are deeply embedded in western culture, have not been totally supplanted by that of function. The intertwining of the concepts of substance and function has generated contradictory hybrids. These hybrids are used as a key for the understanding of the different repercussions of algorithmic logic on society in terms of social integration.

Keywords

modernity rationality sociological theory

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References

Bauman

(1995) Modernity and Ambivalence, Cambridge: Polity Press.

Blau

(1956) Bureaucracy in Modern Society, New York: Random House.

Blau

Scott

(1962) Formal Organization, San Francisco: Chandler Publishing.

Bohr

(1928) The quantum postulate and the recent development of the atomic theory. Nature 121(Supplement): 580–590.

Bourdieu

(1984) Distinction, London: Routledge.

Bythell

(1983) Cottage industry and the factory system. History Today 33(4): 17–23.

Cassirer

(1953) Substance and Function and Einstein’s Theory of Relativity, New York: Dover.

Cassirer

(1999) Das Erkenntnisproblem in der Philosophie und Wissenschaft der neueren Zeit, Vol. 1, Hamburg: Meiner.

Castells

(2000) The Rise of the Network Society, Oxford: Blackwell.

10.

Cooper

Sorbi

(2011) Computability in Context, London: Imperial College Press.

11.

Crosby

(1998) The Measure of Reality, Cambridge: Cambridge University Press.

12.

Crozier

(1963) Le Phénomène bureaucratique, Paris: Seuil.

13.

Davis

(1958) Computability and Unsolvability, New York: McGraw-Hill.

14.

Galilei G (1980) Opere, Vol. 1. Torino: Utet.

15.

Giddens

(1984) The Constitution of Society: Outline of the Theory of Structuration, Cambridge: Polity Press.

16.

Giddens

(1990) The Consequences of Modernity, Cambridge: Polity Press.

17.

Green

(1999) The Elegant Universe, New York: Norton.

18.

Habermas

(1984) The Theory of Communicative Action: Reason and Rationality of Society, Boston: Beacon Press.

19.

Harvey

(1990) The Condition of Postmodernity, Cambridge: Blackwell.

20.

Hayek

FA von

(1945) The use of knowledge in society. The American Economic Review 4(35): 519–530.

21.

Heisenberg

(1949) The Physical Principles of the Quantum Theory, New York: Dover.

22.

Hobsbawm

(1996) The Age of Revolution, 1789–1848, New York: Vintage Books.

23.

Hofstadter

(1979) Gödel, Escher, Bach: An Eternal Golden Braid, New York: Basic Books.

24.

Jevons

(1970) The Theory of Political Economy, Middlesex: Penguin.

25.

Johnston

Lawrence

(1988) Beyond vertical integration: The rise of the value-adding partnership. Harvard Business Review 66(4): 94–101.

26.

Kaku

(1994) Hyperspace, Oxford: Oxford University Press.

27.

Kriedte

Medick

Schlumbohm

(1981) Industrialization before Industrialization, Cambridge: Cambridge University Press.

28.

Lambert

Peppard

(2000) The information technology–organizational design relationship. In: Galliers

Leidner

Baker

BSH

(eds) Challenges and Strategies in Managing Information Systems, Oxford: Butterworth Heinemann.

29.

Lanier

(2010) You Are Not a Gadget, New York: A. Knopf.

30.

Lyotard J (1979) La condition postmoderne. Paris: Les Editions de Minuit.

31.

Mach

(1919) The Science of Mechanics, Chicago: Open Court Publishing.

32.

Mantoux

(1961) The Industrial Revolution in the Eighteenth Century: An Outline of the Beginnings of the Modern Factory System in England, London: Jonathan Cape.

33.

Marx

(1952) Capital, Chicago: Encyclopaedia Britannica.

34.

Maturana

Varela

(1998) The Tree of Knowledge, Boston: Shambhala Publications.

35.

Mendelson

(1964) Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand.

36.

Minsky

(1967) Computation: Finite and Infinite Machines, Englewood Cliffs, NJ: Prentice-Hall.

37.

Moore

(1996) Recursion theory on the reals and continuous-time computation. Theoretical Computer Science 162(1): 23–44.

38.

Nicolescu

(1996) La transdisciplinarité, Monaco: Èdition du Rocher.

39.

Odifreddi

(1992) Classical Recursion Theory, Amsterdam: Elsevier.

40.

Patterson

(1957) Spinning and weaving. In: Singer

(eds) A History of Technology, Vol. III, Oxford: Oxford University Press.

41.

Porter

(1985) Competitive Advantage, New York: Free Press.

42.

Ricardo

(1971) On the Principles of Political Economy, and Taxation, Middlesex: Penguin.

43.

Rifkin

(2009) The Empathic Civilization, New York: Tarcher.

44.

Rorty

(1999) Philosophy and Social Hope, New York: Penguin Books.

45.

Santos

(1993) A urbanização brasileira, São Paulo: Hucitec.

46.

Selznick

(1948) Foundations of the theory of organization. American Sociological Review 13(1): 25–35.

47.

Simmel

(2004) The Philosophy of Money, London: Routledge & Kegan Paul.

48.

Smith

(1952) An Inquiry into the Nature and Causes of the Wealth of Nations, Chicago: Encyclopaedia Britannica.

49.

Taylor

(1911) The Principles of Scientific Management, New York: Harper & Brothers.

50.

Thrift

(2008) Non-representational Theory, New York: Routledge.

51.

Totaro

(2009) Le origini logiche della disaggregazione sociale. Rassegna Italiana di Sociologia 50(2): 227–250.

52.

Totaro P (2010) A cultura do cálculo e a desagregação social. PhD thesis. Available at: http://biblioteca.asav.org.br/vinculos/tede/PaoloTotaroCienciasSociais.pdf (accessed 13 September 2013).

53.

Trautteur

Tamburrini

(2007) A note on discreteness and virtuality in analog computing. Theoretical Computer Science 371(1–2): 106–114.

54.

Turing

(1937) On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society s2–42(1): 230–265.

55.

Unwin

(1904) Industrial Organization in the Sixteenth and Seventeenth Centuries, Oxford: The Clarendon Press.

56.

Walker PG (1966) The origins of the machine age. History Today, 16 September: 591–600.

57.

Walras

(1938) Abrégé des éléments d'économie politique pure, Paris: Librairie Générale de Droitet de Jurisprudence.

58.

Weatherford

(1997) The History of Money, New York: Three Rivers Press.

59.

Weber

(1978) Economy and Society, Berkeley: University of California Press.

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