María Carolina Álvarez Puerta

Hintikka considers that the “Transcendental Deduction” includes finding the role that concepts in the effort is meant by human activities of acquiring knowledge; and it affirms that the principles governing human activities of knowledge can be objective rules that can become transcendental conditions of experience and no conditions contingent product of nature of human agents involved in the know. In his opinion, intuition as it is used by Kant not be understood in the traditional way, ie as producer of mental images, but rather as that which the mind represents an individual. To support this interpretation refers to the lessons of Kant´s Logics, to individuality space time and the thesis, submitted the winning essay in 1764, characterizing the mathematical method by the use of particular representatives of general concepts. Thus, his exegesis considers the Kantian conceptions of the “Doctrine of Method” not later conceptions, as traditionally interpreted, but prior conceptions to the processing of “Transcendental Aesthetic”. This article reconstructs some of their arguments that eventually will equal the Kantian intuition with the Euclidean ecthesis.

The purpose of this article is to present Lisa Shabel's interpretive proposal that relates algebra to symbolic constructions. This briefly covers the problem of the status of algebra and how some of the interpretations given relate it to the numerical calculation. Subsequently, by the hand of Shabel and with an eye on the mathematical practice of Cristian Wolff, the ways of proceeding algebraically in the eighteenth century will be identified and then analyze the two meanings of the term “magnitude”. Finally, algebra is related to a construction in accordance with the a priori concepts, certain rules and which it has its referent. Such a type of construction defines what Kant understands by symbolic construction.