René Thom’s topological theory of meaning and semiotics
DOI:
https://doi.org/10.23925/2316-5278.2024v25i1:e65590Keywords:
Meaning, René Thom, Semiotics, TopologyAbstract
This paper represents a second step of my research on the work of the French mathematician René Thom. I primarily focus on two papers by Thom’s theory of the sign: From icon to symbol (De l’icône au symbole), 1973, and Space and Signs (L’espace et les signes), 1980b. In this paper, exploring Thom’s topological conception of meaning, I expound on his idea that all forms of semiosis (as meaning processes) develop a spatial form. It is from his working on the reconstruction of global forms in topology that Thom sets his semiotic program. In particular, as I will show, Thom converts Charles S. Peirce’s triadic classification of signs (icons, indexes and symbols) into a space-vector interpretation. Advancing my study of René Thom’s work (Araujo, 2022), I explore his topological theory of meaning according to which semiosis can be understood as a topological space. In parallel with his work on morphodynamics in biology, Thom redefines the dynamics of sign, object and interpretant (according to their mutual interconnections) that topologically configure the very space of semiosis.Metrics
References
ARAUJO, Arthur. René Thom, Reader of Jakob von Uexküll (Meaning as Topological Space) (2022). Biosemiotics, v. 15, p. 555-573. https://doi.org/10.1007/s12304-022-09503-w
ARAUJO, Arthur. Uexküll and Whitehead on meaning, process and life. (2020) Σημειωτκή-Sign Systems Studies, v. 48, n. 2-4, p. 415-449. https://doi.org/10.12697/SSS.2020.48.2-4.11
BUNDGAARD, Peer F.; STJERNFELT, Frederik. René Thom’s Semiotics and its Sources. In: WILDGEN; BRANDT (Eds.). Semiosis and Catastrophes: René Thom’s Semiotic Heritage. Bern: Peter Lang, 2010. p. 43-78.
CASSIRER, Ernst. The Philosophy of Symbolic Forms. New Haven: Yale University Press, 1957.
FAVAREAU, Donald. Essential readings in biosemiotics: Anthology and commentary (50 Vol.). Dordrecht: Springer, 2010.
HAVENEL, Jérôme. Peirce’s Topological Concepts. In: MOORE, M. E. (Ed.). New Essays on Peirce’s Philosophy of Mathematics. Open Court, 2010.
HIGUERA, Claudio Julio Rodríguez; KULL, Kalevi. The Biosemiotic Glossary Project: The Semiotic Threshold. Biosemiotics, v. 10, p. 109-126, 2017. https://doi.org/10.1007/s12304-017-9289-4
HOFFMEYER, Jasper. Semiotic freedom: an emerging force. In: DAVIES, P.; GREGERSEN, N.; HENRIK (Eds.). Information and the Nature of Reality: From Physics to Metaphysics. Cambridge: Cambridge University Press, 2010.
JOHNSON, Mark. Embodied Mind, Meaning, and Reason. Chicago: The University of Chicago Press, 2017.
KLING, Sheri D. Avoiding a Fatal Error: Extending Whitehead’s Symbolism Beyond Language. In: FABER, R.; BELL, J. A.; PETEK, J. (Eds.). Rethinking Whitehead’s Symbolism: Thought, Language, Culture. Edinburgh: Edinburgh University Press, 2017.
KULL, Kalevi; EMMECHE, Claus. Towards a semiotic biology: Life is the action of signs. World Scientific, 2011.
MARCOS, Isabel; MORIER, Clément. Centenaire de René Thom (1923-2023): hommage sémiotique et morphodynamique. Estudos Semióticos, v. 19, n.1, p. i-xxviii, 2023. https://doi.org/10.11606/issn.1980-4016.esse.2023.210388
MERRELL, Floyd. Sensing Corporeally: Toward a Posthuman Understanding. Toronto: University of Toronto Press, 2003.
ORDEN, van G. C. Nonlinear Dynamics and Psycholinguistics. Ecological Psychology, v. 14, n. 1-2, p. 1-4, 2002. https://doi.org/10.1080/10407413.2003.9652749
ØSTERGAARD, Svend. René Thom: The Recognition of Forms. An Apologia for Realism. In: WILDGEN, W.; BRANDT, P. A. (Eds.). Semiosis and Catastrophes: René Thom’s Semiotic Heritage. Bern: Peter Lang, 2010.
PAPADOPOULOS, Athanase. Topology and biology: from Aristotle to Thom. In: DANI, S. G.; PAPADOPOULOS, A (Eds.). Geometry in History. Springer Verlag, 2019. p. 89-128.
PEIRCE, C. S. Collected Papers of Charles Sanders Peirce. 8 vols. CHARLES, H.; WEISS, P.; BURKS, A. (Eds.). Cambridge, MA. Harvard University Press. 1931-35 e 1958. (Citado como CP).
PETITOT-CORCODA, Jean. Morphogenèse du Sens. Paris: Presses Universitaires de France, 1985.
RINI, Matteo. Knots for All Occasions. Physics, [s. l.], v. 7, n. 96, ago. 2014. https://doi.org/10.1103/Physics.7.s96
SEBEOK, Thomas. The Forms of Meaning: Modeling Systems Theory and Semiotic Analysis. New York/Berlin: Mouton de Gruyter, Mouton, 2001.
THOM, René. Topological Models in Biology. In: WADDINGTON, C. H. (Ed.). Towards a Theoretical Biology III. Edinburgh: Edinburgh University Press, 1969.
THOM, René. Modèles Mathématiques de la Morphogenèse. Paris: Union Généraçe d’Édtion, 1974.
THOM, René. From a letter to Claire Lejeune, February 20. In: LEJEUNE, C. (Ed.). Du point de vue du tiers. Cahiers de recherche sur l’imaginaire, 8-9, Éditions Lettres Modernes, Paris, 1980a, p. 91-118.
THOM, René. Stabilité Structuralle et Morphogénèse. Paris: InterEdtions, 1977.
THOM, René. L’espace et les signes. Semiotica, v. 29, n. 3/4, p. 193-208, 1908b. https://doi.org/10.1515/semi.1980.29.3-4.193
THOM, René. O espaço e os signos. Trad. Arthur Araujo. Cognitio - Revista de Filosofia, v. 25, n. 1, p. 1-14, 2024. https://doi.org/10.23925/2316-5278.2024v25i1:e64207
THOM, René. Paraboles et Catastrophes: entretiens sur les mathématiques, la science et la philosophie réalisés par Giulio Giorello et Simona Morini. Milan: ChampsSciences, 1983.
THOM, René. Structural Stability and Morphogenesis. Fowler, Massachusetts: W. A. Benjamin, 1975.
THOM, René. Prédire n’est pas expliquer: entretiens avec Emile Noël. Paris: Flammarion, 1993.
THOM, René. Aristote Topolgue. Revue de Synthese, v.4, n. 1, p. 39-47, jan./mars, 1999. https://doi.org/10.1007/BF03182078
WHITEHEAD, Alfred N. Process and Reality: an Essay in Cosmology. New York: The Free Press, 1978.
WILDGEN, Wolfgand; BRANDT, Per A. Semiosis and Catastrophes: René Thom’s Semiotic Heritage. Bern: Peter Lang, 2010.
WILDGEN, Wolfgand. Catastrophe Theory and Semiophysics: With na Application to “Movie Physics”. Language and Semiotic Studies, v. 1, n. 2, 2015. https://doi.org/10.1515/lass-2015-010204
WILDGEN, Wolfgand. L’apport de l’épistémologie de René Thom à la sémiotique. Estudos Semióticos, v. 16, n. 3, 2020a. https://doi.org/10.11606/issn.1980-4016.esse.2020.172221
WILDGEN, Wolfgand. Mathematics, Biology, and Meaning. Semiosis and Catastrophes: René Thom’s Semiotic Heritage. Bern: Peter Lang, 2020b.
WILDGEN, Wolfgand. René Thom’s contribution to linguistics and his semiophysics applied to art and music: A retrospective on behalf of the centenary of his birth [Conference Session]. 1923-2023, Centenaire de René Thom, IHES (Paris), 2023.
WITTGENSTEIN, Ludwig. Philosophical investigations (PI). Macmillan, 1968.
VEHKAVAARA, Tommi. From the Logic of Science to the Logic of the Living. The Relevance of Charles Peirce to Biosemiotics. In: BARBIERI, M. (Ed.). Introduction to Biosemiotics: The New Biological Synthesis. Dordrecht: Springer, 2007.
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