Topology: closeness between Mathematics and Philosophy. Introduction to the interview with Luciano Boi
DOI:
https://doi.org/10.35494/topsem.2020.1.43.681Keywords:
form, homology, connectivity, Form, Homology, ConnectivityAbstract
The following text is a critical introduction to an interview with
the philosopher and mathematician Luciano Boi. It has two
aims: On the first hand, to introduce central concepts of topology
referred to in the conversation and, om the second, to offer
philosophical interpretation of them.
Although the concept stems from the mathematical domain,
the extension given here to it is completely new.
The concept of topology referred to by Luciano Boi involves
epistemological and even ontological issues.
This introduction intends additionally to present topology as
a genuine philosophical issue, which deserves the highest consideration
in the light of current theoretical debate.
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References
BOI, L. (1995). « Le problème mathématique de l’espace : Une quête
de l’intelligible ». P reface d e R ené T hom. Hiedelberg/Berlín :
Springer/Verlag.
___________ (Ed.) (2000). Science et philosophie de la Nature: Un
nouveau Dialogue. Berna: Peter Lang.
___________ (2004). “Geometrical and Topological Foundations of
Theoretical Physics: From Gauge Theories to String Program”.
International Journal of Mathematics and Mathematical Sciences,
núm. 34, pp. 1777-1836.
___________ (Ed.). (2005). Geometries of Nature, Living Systems
and Human Cognition. New Interactions of Mathematics with
the Natural Sciences and Humanities. Singapur: World Scientific.
___________ (Ed.). (2005). “Topological Knots Models in Physics
and Biology”. Geometries of Nature, Living Systems and Human
Cognition. Singapur: World Scientific, pp. 203-278.
___________ (Ed.). (2006). Symétries, Brisures de Symétries et
Complexité, en mathématiques, physique et biologie. Berna: Peter
Lang.
___________ (2006). “Topological Knot Theory and Macroscopic
Physics”. En J.-P. Françoise, G. Naber & T.S. Sun (Eds.). Encyclopedia
of Mathematical Physics. Oxford: Elsevier, pp. 271-277.
___________ (2006). “The Aleph of Space. On Some Extensions of
Geometrical and Topological Concepts in the Twentieth-Century
Mathematics: from Surfaces and Manifolds to Knots and Links”.
En G. Sica (Ed.). What is Geometry? Milán: Polimetrica International
Scientific Publishers, pp. 79-152.
___________ (2007). “Geometrical and Topological Modelling of
Supercoiling in Supramolecular Structures”. En V. Di Gesù, G. &
Topología: vecindad entre matemáticas y filosofía... 211
M. C. Lo Bosco Maccarone (Eds.). Modelling and Simulation in
Science, Proceedings of the 6th International Workshop on Data
Analysis in Astronomy. Singapur: World Scientific, pp. 187-199.
BOI, L., KERSZBERG, P. & PATRAS, F. (Eds). (2007). Rediscovering
Phenomenology. Phenomenological essays on mathematical beings,
physical reality, perception and consciousness. Dordrecht:
Springer.
BOI, L. (2008). “Topological Ideas and Structures in Fluid Dynamics”.
JP Journal of Geometry and Topology, vol. 8, núm. 2, pp. 151-184.
___________ (2009). “Ideas of Geometrization, Geometric Invariants
of Low-Dimensional Manifolds and Topological Quantum Field
Theories”. International Journal of Geometric Methods in Modern
Physics, vol. 6, núm. 5. pp. 701-757.
___________ (2011). Morphologie de l’invisible. Limoges : Presses
Universitaires de Limoges.
___________ (2011). The Quantum Vacuum. A Scientific and Philosophical
Concept: From Electrodynamics to String Theory, and the
Geometry of the Microscopic World. Baltimore: The Johns Hopkins
University Press.
___________ (2012). Pensare l’impossibile. Dialogo infinito tra arte
e scienza. Milán: Springer-Verlag.
Referencias
BADIOU, A. (2000). El Ser y el Acontecimiento. Buenos Aires: Ediciones
Manantial.
CHILLIDA, E. (2016). Escritos. Madrid: La Fábrica.
GÓMEZ PIN, V. (1994). Diálogo con Eduardo Chillida y René Thom.
Actas del Primer Congreso Internacional de Ontología: categorías
e inteligibilidad global: el proyecto ontológico a través de la
reflexión contemporánea. Barcelona: Universitat Autònoma de
Barcelona/Servei de Publicacions.
HARMAN, G. (2002). Tool-Being: Heidegger and the Metaphyics of
Objects. Chicago, Illinois: Open Court Publishing Company.
THOM, R. (1987). Estabilidad estructural y morfogénesis: ensayo de
una teoría general de los modelos. Barcelona: Gedisa.
de l’intelligible ». P reface d e R ené T hom. Hiedelberg/Berlín :
Springer/Verlag.
___________ (Ed.) (2000). Science et philosophie de la Nature: Un
nouveau Dialogue. Berna: Peter Lang.
___________ (2004). “Geometrical and Topological Foundations of
Theoretical Physics: From Gauge Theories to String Program”.
International Journal of Mathematics and Mathematical Sciences,
núm. 34, pp. 1777-1836.
___________ (Ed.). (2005). Geometries of Nature, Living Systems
and Human Cognition. New Interactions of Mathematics with
the Natural Sciences and Humanities. Singapur: World Scientific.
___________ (Ed.). (2005). “Topological Knots Models in Physics
and Biology”. Geometries of Nature, Living Systems and Human
Cognition. Singapur: World Scientific, pp. 203-278.
___________ (Ed.). (2006). Symétries, Brisures de Symétries et
Complexité, en mathématiques, physique et biologie. Berna: Peter
Lang.
___________ (2006). “Topological Knot Theory and Macroscopic
Physics”. En J.-P. Françoise, G. Naber & T.S. Sun (Eds.). Encyclopedia
of Mathematical Physics. Oxford: Elsevier, pp. 271-277.
___________ (2006). “The Aleph of Space. On Some Extensions of
Geometrical and Topological Concepts in the Twentieth-Century
Mathematics: from Surfaces and Manifolds to Knots and Links”.
En G. Sica (Ed.). What is Geometry? Milán: Polimetrica International
Scientific Publishers, pp. 79-152.
___________ (2007). “Geometrical and Topological Modelling of
Supercoiling in Supramolecular Structures”. En V. Di Gesù, G. &
Topología: vecindad entre matemáticas y filosofía... 211
M. C. Lo Bosco Maccarone (Eds.). Modelling and Simulation in
Science, Proceedings of the 6th International Workshop on Data
Analysis in Astronomy. Singapur: World Scientific, pp. 187-199.
BOI, L., KERSZBERG, P. & PATRAS, F. (Eds). (2007). Rediscovering
Phenomenology. Phenomenological essays on mathematical beings,
physical reality, perception and consciousness. Dordrecht:
Springer.
BOI, L. (2008). “Topological Ideas and Structures in Fluid Dynamics”.
JP Journal of Geometry and Topology, vol. 8, núm. 2, pp. 151-184.
___________ (2009). “Ideas of Geometrization, Geometric Invariants
of Low-Dimensional Manifolds and Topological Quantum Field
Theories”. International Journal of Geometric Methods in Modern
Physics, vol. 6, núm. 5. pp. 701-757.
___________ (2011). Morphologie de l’invisible. Limoges : Presses
Universitaires de Limoges.
___________ (2011). The Quantum Vacuum. A Scientific and Philosophical
Concept: From Electrodynamics to String Theory, and the
Geometry of the Microscopic World. Baltimore: The Johns Hopkins
University Press.
___________ (2012). Pensare l’impossibile. Dialogo infinito tra arte
e scienza. Milán: Springer-Verlag.
Referencias
BADIOU, A. (2000). El Ser y el Acontecimiento. Buenos Aires: Ediciones
Manantial.
CHILLIDA, E. (2016). Escritos. Madrid: La Fábrica.
GÓMEZ PIN, V. (1994). Diálogo con Eduardo Chillida y René Thom.
Actas del Primer Congreso Internacional de Ontología: categorías
e inteligibilidad global: el proyecto ontológico a través de la
reflexión contemporánea. Barcelona: Universitat Autònoma de
Barcelona/Servei de Publicacions.
HARMAN, G. (2002). Tool-Being: Heidegger and the Metaphyics of
Objects. Chicago, Illinois: Open Court Publishing Company.
THOM, R. (1987). Estabilidad estructural y morfogénesis: ensayo de
una teoría general de los modelos. Barcelona: Gedisa.
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Published
2020-06-17
How to Cite
Contreras, A. R. (2020). Topology: closeness between Mathematics and Philosophy. Introduction to the interview with Luciano Boi. Tópicos Del Seminario, 1(43), 183–212. https://doi.org/10.35494/topsem.2020.1.43.681
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