31 Pages Posted: 30 Apr 2009
Date Written: April 29, 2009
A systems theoretical thinking on the categorial object and morphism is developed, leading to a reflection on the philosophical and mathematical foundations of category theory, which allows for the introduction of a formal language for category theory and of a categorial calculus as a morphic web-based logical calculus. A formal system, built from such calculus, is proposed and the logical semantics is addressed. Both syntax and semantics are independent from set theory.
Keywords: System, object, morphism, morphic web, individuation, entity, identity, categories, n-categories
JEL Classification: C00, C02
Suggested Citation: Suggested Citation
Gonçalves, Carlos Pedro dos Santos and Madeira, Maria Odete, A Systems Theoretical Formal Logic for Category Theory (April 29, 2009). Available at SSRN: https://ssrn.com/abstract=1396841 or http://dx.doi.org/10.2139/ssrn.1396841