Abstract
In this chapter, we look at the problem of abductive inference as refracted through a mathematical context quite different from the topological areas and cuts of Peirce’s graphs as analyzed in the previous chapter. Rather than the relational nestings of areas within graphs and the categorical structures induced in a holistic way through the relations holding among the graphs conceived as a deductive system, we will examine the model of abduction that emerges from Alain Badiou’s provocative conflating of philosophical ontology and Zermelo–Fraenkel set theory in Being and Event.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A. Badiou, Being and Event (Continuum, London, 2005)
K. Gödel, The Consistency of the Continuum Hypothesis (Princeton University Press, Princeton, 1940)
P. Cohen, Set Theory and the Continuum Hypothesis (Dover, Mineola, 2008)
F. Zalamea, Peirce’s logic of continuity: existential graphs and non-cantorian continuum. Rev. Mod. Log. 9(29), 115–162 (2003)
J. Bell, Toposes and Local Set Theories: An Introduction (Dover, Mineola, 2008)
S. Mac Lane, Moerdijk, Sheaves in Geometry and Logic: A First Introduction to Topos Theory. (Universitext) (Springer, New York, 1994)
L. Kauffman, Peirce’s existential graphs. Cybern. Hum. Knowing 18, 49–81 (2001)
F. Zalamea, Peirce’s Continuum: A Methodological and Mathematical Approach. http://www.scribd.com/doc/16392109/Zalamea-Peirces-Continuum-Part-1
F. Gironi, Naturalizing Badiou: Mathematical Ontology and Structural Realism (Palgrave Macmillan, New York, 2015)
S. French, Structure as a weapon of the realist. Proc. Aristot. Soc. 106, 167–185 (2006)
J. Ladyman, What is structural realsim? Stud. Hist. Philos. Sci. 29, 409–424 (1998)
E.M. Landry, D.P. Rickles (eds.), Structural Realism: Structure, Object and Causality (Springer, Berlin, 2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this chapter
Cite this chapter
Caterina, G., Gangle, R. (2016). Ontology and Abduction in Badiou’s Being and Event . In: Iconicity and Abduction. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-319-44245-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-44245-7_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-44244-0
Online ISBN: 978-3-319-44245-7
eBook Packages: Religion and PhilosophyPhilosophy and Religion (R0)