Signo e sentido interno na filosofia da matemática pré-crítica

Abstract

In this article it is argued that, in the Inquiry concerning the Principles of natural theology and of morals, the concept of “inner sense” is central to Kant´s theses about mathematics. It must not, however, be taken in its critical meaning, corresponding rather to a loosely lockean influx, trough Crusius, indicating only that mental reflexion about mathematical objects or concepts is involved in mathematical knowledge. The concept of inner sense incorporates, inparticular, the symbolic aspect of mathematical knowledge, and, in so doing, allows Kant to ignore what would become one of the central problems of his mature tought, namely how, in mathematics, the inspection of particulars provides us with proofs and laws which are general in character. This indicates to some relevant differences between the critical and pre-critical theory of mathematics which have been regularly overlooked.

Keywords

• Kant
• Philosophy of mathematics
• Inner sense
• Pre-critical period