NECESSARY STRUCTURES FOR KNOWLEDGE AND LOGICAL-MATHEMATICAL STRUCTURES: A STUDY IN GENETIC EPISTEMOLGY.

• Grant number: 11/16344-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2013
• End date: September 30, 2013
• Field of knowledge: Humanities - Philosophy - Epistemology
• Principal Investigator: Ricardo Pereira Tassinari
• Grantee: Alexandre Augusto Ferraz
• Host Institution: Faculdade de Filosofia e Ciências (FFC). Universidade Estadual Paulista (UNESP). Campus de Marília. Marília , SP, Brazil
• Associated research grant: 10/52627-9 - Sistemics, self-organization and information, AP.TEM

Abstract

This research project falls within the area of epistemology, specifically in the area of Genetic Epistemology. The objective of this research project is to study the correlation between psychological-epistemic structures necessary for knowledge and mathematical structures studied in the areas of logic and mathematics. The objective is based on studies made by Jean Piaget with the psychological-epistemic structures necessary for scientific knowledge. The specific objectives of this research project are: (1) To explain the notion of epistemic necessary structures for knowledge, (2) to give examples of necessary structures for knowledge, in particular, the Practical Group of Displacement and System of Transfiguration Schemes, (3) To study usual definitions of mathematical and logical structures present in the literature, such as, for example, Algebraic Structures (Group, Body, Ring), "Arithmetic" Structures and Topological Structures, (4 ) to study and explain the correlation between the notion of epistemic necessary structures for knowledge and logical-mathematical structures, (5) to exemplify this correlation by means of the four structures mentioned above, in particular, the psychological-epistemic structures and the System of Transfiguration Schemes. Keywords: Genetic Epistemology, Genetic Psychology; psychological-epistemic structures, Mathematical Structures.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FERRAZ, Alexandre Augusto. Como é possível o conhecimento matemático: uma análise a partir da epistemologia genética. 2014. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Filosofia e Ciências. Marília Marília.