We propose a formal representation of objects, being them mathematical or empirical objects. The powerful framework inside which we represent them in a unique and coherent way is grounded, on the formal side, in a logical approach with a direct mathematical semantics in the well established field of constructive topology, and, on the philosophical side, in a neo-Kantian perspective emphasizing the knowing subject's role which is constructive for the mathematical objects and constitutive for the empirical ones.
OBJECTS A Study in Kantian Formal Epistemology
VALENTINI, SILVIO;
2012
Abstract
We propose a formal representation of objects, being them mathematical or empirical objects. The powerful framework inside which we represent them in a unique and coherent way is grounded, on the formal side, in a logical approach with a direct mathematical semantics in the well established field of constructive topology, and, on the philosophical side, in a neo-Kantian perspective emphasizing the knowing subject's role which is constructive for the mathematical objects and constitutive for the empirical ones.
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