A Kantian Reading of Gödel’s Mathematical Object Cover Image

O lectură kantiană privind obiectul matematic la Gödel
A Kantian Reading of Gödel’s Mathematical Object

Author(s): Marius Augustin Drăghici
Subject(s): Metaphysics, Epistemology, Logic, Contemporary Philosophy
Published by: Editura Academiei Române
Keywords: mathematical object; Kant; pure intuition; mathematical intuition; certainty; axiom;

Summary/Abstract: In this study, I attempt to argue that there is a correspondence between Gödel’s way of grounding the „existence” of the mathematical object and the analytic-transcendental type of determination of the Kantian „pure a priori forms” (i.e., the categories and the pure a priori intuitions of space and time). One consequence of this correspondence is (in spite Gödel’s own opinion) a convergence of both Kant and Gödel with respect to the objectivity level of their justificative procedure. I have also emphasized two other similar analogies: on one hand, between Gödel’s mathematical intuition and Kant’s pure intuition and, on the other hand, between the Kantian synthetic a priori character and Gödel’s „non-empirical quality elements”. Moreover, this kind of similarities could be explained by the more substantial correspondence between the epistemic status of the three theoretical levels of Kant’s program and those of Gödel’s viewpoint on mathematics (i.e., the mathematical object, the truthfulness of mathematical axioms and the Euclidean model of geometry).

  • Issue Year: LXVIII/2021
  • Issue No: 1
  • Page Range: 13-28
  • Page Count: 16
  • Language: Romanian