4 papers · 1 filter
Hegel and Modern Topology
Clarence Protin
In this paper we sketch how some fundamental concepts of modern topology (as well as logic and category theory) can be understood philosophically in the light of Hegel's Science Lo…
Aristotle's Second-Order Logic and Natural Deduction
Clarence Protin
This paper has two goals. The first goal is to show how an extension of second-order logic is a natural framework to formalize portions of Aristotle's \emph{Topics} and to bring to…
Modern incarnations of the Aristotelian concepts of Continuum and Topos
Clarence Protin
The aim of this paper is i) to argue for the feasibility and fruitfulness of a balance between the phenomenological method seeking intuitive evidence and the axiomatic-deductive me…
Modern Definition and Ancient Definition
Clarence Protin
In this essay we examine some aspects of the classical theory of definition as codified in Aristotle's \emph{Topics} and Porphyry's \emph{Eisagogê} in the light of the way definit…