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A Peircean typology of cultural prime symbols: Culture as category

  • Steven Bonta EMAIL logo
From the journal Semiotica

Abstract

Oswald Spengler first showed that every macroculture can be conceived of as an accretion of signs representing in various contexts a single abstract Prime Symbol. But this semiotic model of culture is not confined to the so-called “great civilizations”; it is applicable to every culture. In seeking a typology of Prime Symbols (and hence, a semiotic typology of cultures), we show that that the Peircean Categories Firstness, Secondness, and Thirdness (including the “degenerate” Categories Firstness of Secondness, Firstness of Thirdness, and Secondness of Thirdness) are exemplified in the great range of cultural semiotic types, and that, because of their universality and generality, these Categories are the best semiotic lens through which cultural Prime Symbols can be understood.

References

Biggs, N. L.1979. The roots of combinatorics. Historia Mathematica6. 109136.10.1016/0315-0860(79)90074-0Search in Google Scholar

Bonta, Steven.2014. Towards a semiotic theory of historico-cultural cycles: The semiotic contours of Spengler’s “prime symbols. Semiotica202(1/4). 589607.10.1515/sem-2014-0048Search in Google Scholar

Bressoud, David.2002. Was calculus invented in India?College Mathematics Journal33(11). 213.10.1080/07468342.2002.11921911Search in Google Scholar

Dauben, Joseph W.2007. Chinese mathematics. In VictorKatz (ed.), The mathematics of Egypt, Mesopotamia, China, India, and Islam, 187384. Princeton & Oxford: Princeton University Press.10.1515/9780691235394-006Search in Google Scholar

Durkheim, Emile.1995 [1912]. The elementary forms of religious life. New York: Free Press.Search in Google Scholar

Durkheim, Emile & MarcelMauss.1963 [1903]. Primitive classification. Chicago: University of Chicago Press.Search in Google Scholar

Eliade, Mircea.1960. Myths, dreams, and mysteries. New York: Harper & Row.Search in Google Scholar

Eliade, Mircea.1964. Shamanism: Archaic techniques of ecstasy. Princeton: Princeton University Press.Search in Google Scholar

Kant, Immanuel.1991 [1781]. Critique of pure reason, Vasilis Politis (trans.). London: Dent.Search in Google Scholar

Katz, Victor J.1995. Ideas of calculus in Islam and India. Mathematics Magazine68(3). 163174.10.1080/0025570X.1995.11996307Search in Google Scholar

Krishnamurti, Bhadriraju.2003. The Dravidian languages. Cambridge: Cambridge University Press.10.1017/CBO9780511486876Search in Google Scholar

Lawlor, Robert.1991. Voices of the first day: Awakening in the Aboriginal dreamtime. Rochester,VT: Inner Traditions International,.Search in Google Scholar

LaTourette, Kenneth Scott. 1967 [1934]. The Chinese: Their history and culture. New York: Macmillan.Search in Google Scholar

Lévi-Strauss, Claude. 1963. Totemism. Boston: Beacon Press.Search in Google Scholar

Matvievskaya, Galina.1987. The theory of quadratic irrationals in medieval Oriental mathematics. Annals of the New York Academy of Sciences500. 253277.10.1111/j.1749-6632.1987.tb37206.xSearch in Google Scholar

Myers, Fred R.1986. Pintupi country, Pintupi self. Washington, DC: Smithsonian Institution Press.Search in Google Scholar

Peirce, Charles S.1931–1966. The collected papers of Charles S. Peirce, 8 vols., C.Hartshorne, P.Weiss & A. W.Burks (eds.). Cambridge: Harvard University Press. [Reference to Peirce’s papers will be designated CP followed by volume and paragraph number.]Search in Google Scholar

Peirce, Charles S.1998. Essential Peirce: Selected philosophical writings, vol. 2, Peirce Edition Project (eds.). Bloomington: Indiana University Press. [Reference to vol. 2 of Essential Peirce will be designated EP 2.]Search in Google Scholar

Robertson, John S.1994. Linguistic implications of the Peircian sign and an analysis of the English inflectional morphemes –ing, –ed, and –s. Semiotica102(3/4). 179223.Search in Google Scholar

Robertson, John S. & Jeffrey S.Turley. 2003. A Peircean analysis of the American-Spanish clitic pronoun system. Semiotica145(1/4). 2170.10.1515/semi.2003.052Search in Google Scholar

Salomon, Richard.1995. On the origin of the early Indian scripts. Journal of the American Oriental Society115(2). 271279.10.2307/604670Search in Google Scholar

Singh, Parmanand.1985. The so-called Fibonacci numbers in ancient and medieval India. Historia Mathematica12. 229244.10.1016/0315-0860(85)90021-7Search in Google Scholar

Spengler, Oswald.1926. The decline of the West, 2 vols. New York: Alfred A. Knopf.10.2307/3901804Search in Google Scholar

Stanner, W. E. H.1989. On aboriginal religion. Sydney: University of Sydney.Search in Google Scholar

Thom, René. 1985. From the icon to the symbol. In Robert E.Innis (ed.), Semiotics: An introductory anthology, 272291. Bloomington: Indiana University Press.Search in Google Scholar

Thom, René. 1990. Semio physics: A sketch. California: Addison-Wesley.Search in Google Scholar

Verran, Helen.2000. Aboriginal Australian mathematics: Disparate mathematics of land ownership. In HelaineSelin (ed.), Mathematics across cultures: The history of non-Western mathematics, 289312. Dordrecht: Kluwer.10.1007/978-94-011-4301-1_15Search in Google Scholar

Published Online: 2015-7-11
Published in Print: 2015-10-1

©2015 by De Gruyter Mouton

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