The conclusion of the deduction of taste in the dialectic of the power of judgment aesthetic in Kant

In this paper, it is argued that only in the section on dialectic in the Critique of Judgment does Kant reach a definitive and conclusive version of deduction, after discovering the concept of the supersensible. In the section on the deduction of pure aesthetic judgments, Kant does not satisfactorily explain the critical distinction between the sensible nature of humanity and the supersensible nature of human reason presupposed in the concept of universal communicability. While the concept of the supersensible illustrates this distinction, it is only through this concept that Kant that can justify the specific possibility of claiming subjective validity in taste. The priority of the solution found in the dialectic is illustrated not only by a comparative analysis of the two sections, but also by a historical reconstruction of the process of the formation of the work, which shows that the first formulation of the concept of validity coincides with the use of the concept of the supersensible.

COMPREENSÃO MATEMÁTICA DA DIFUSÃO NO CONTEXTO ELETROQUÍMICO

The aim of this study was to explain in detail the mathematical methods used to deal with diffusion equations, mainly for students and researchers interested in electrochemistry and related areas. Emphasis was placed on the deduction and resolution of diffusion equations, as well as addressing cartesian, spherical and cylindrical coordinates. Different aspects of mass transfer processes were discussed including the importance of the resolution of Fick's laws equations to understand and derive parameters of the electroactive species (e.g., diffusion coefficients, formal electrode potentials) from the electrochemical techniques. As an example, the resolution of diffusion equations for a reversible reduction process of soluble oxidized species was presented for the chronopotentiometry technique. This study is envisaged to broaden the understanding of these frequently used methods, in which mathematical deductions are not always completely understood.

Incerteza e não ergodicidade: crítica aos neoclássicos

The starting point of this essay is to show that, in our view, the problem of the traditional economics is not in the deductive method nor the mathematical methods used, but to attribute to economic agents "power" on the future and prescribe the existence of ergodic stochastic processes in their economic analyzes. Thus, building a theory on the ground whose bases are not able to sustain a proper understanding of the world, mainstream economics has difficulties in using the modeling for establishing deductions and conclusions that help understanding the system. Thus, the logical-mathematical rigor in economic models and deduction can be used with appropriate axioms, which is not the case of mainstream economics. Our hypothesis is that the inability of the mainstream in predicting economic crisis is due to the non-recognition of some principles that best describe the dynamics of financialized contemporary capitalism, as the principles of non-ergodicity and Keynesian uncertainty.