Broad Reflections on the Relationship betweenPhenomenology and Category Theory
Keywords:
Category Theory, Theory of Manifold, Morphisms, Pure LogicAbstract
According to Peruzzi (2006), Category Theory (CT) aims to unify various branches of mathematics through a common language. Experts such as Cheng (2023) also consider CT to be a fundamental tool for understanding and generalizing the relationships between mathematical objects. Moreover, based largely on the assertions made by Husserl in the Prolegomena to Pure Logic and Formal and Transcendental Logic regarding the proposal of a transcendental phenomenology—specifically the ideas of a theory of manifolds, intentionality, and pure logic—scholars such as A. Peruzzi, Patras, Benoist, and Król have sought to relate phenomenology to category theory, aiming at a comprehensive review of their mathematical-philosophical implications. Consequently, the objective of this article is to evaluate the feasibility of this relationship by presenting the proposals of these researchers, with special emphasis on their approach to what these ideas represent for them, interspersed with some critical reflections based on Husserl’s expositions on the matter.
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