Abductive Realism in Topos Theory

  • Gianluca CaterinaEmail author
  • Rocco Gangle
Part of the Studies in Applied Philosophy, Epistemology and Rational Ethics book series (SAPERE, volume 29)


The foundation of Badiou’s ontological schema relies on the notion of a transcendental T. As emerged from the analysis in the last chapter, T is in fact best understood as a two-fold entity: It is used to measure the degree of identity of relations between objects in the world, and, on the other hand, is a structured system of relations by itself, namely a complete distributive lattice (Heyting algebra), with the property of being essentially optimal with respect to the contexts it is meant to model.


Quantum Mechanic Quantum Theory Heyting Algebra Realist Interpretation Partition Logic 
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© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Department of MathematicsEndicott CollegeBeverlyUSA
  2. 2.Department of Humanities and PhilosophyEndicott CollegeBeverlyUSA

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