Dialectics and Mathematics

Tactics, Dialectics, Representation Theory

This article is devoted to the tactical game theoretical interpretation of dialectics. Dialectical games are considered as abstractly as well as models of the internal dialogue and reflection. The models related to the representation theory (representative dynamics) are specially investigated in detail, they correlate with the hypothesis on the dialectical features of human thinking in general ...

Defeasible Dialectics: A Controversy-Oriented Approach Towards Defeasible Argumentation

Defeasible argumentation is concerned with studying plausible but, at the same time, fallible patterns of reasoning. Because plausible arguments can easily be developed, and not all of them can be in force at the same time, the main thrust of the theory is in deriving sound principles for adjudicating among conflicting lines of argumentation. In this paper, we propose to resolve such conflicts ...

Dialectics as Method and Approach in Educational Research

The Dialectics of Differentiation: Marx's Mathematical Manuscripts and Their Relation to His Economics

The notion that Marx neither understood nor advocated the use of mathematics is a persistent one. His interest in both commercial and abstract mathematics spanned more than two decades, however, and culminated in two \contributions" to the foundations of the calculus: \On the Concept of the Derived Function" (1881) and \On the Concept of the Di erential" (1881). A detailed examination of these ...

Methods of Economics: A Survey of Matters and Methods

In spite of sonic pessimistic attitudes towards methodology of economics, it has succeeded as a central theme in numerous books, refereed journals, international conferences and symposiums whose volume is increasing at an unprecedented rate. The proliferation of methodological literature also is accompanied by a proliferation of issues that concern: the goals of economics, realism of economics,...