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Doctoral Thesis
DOI
10.11606/T.8.2014.tde-28112014-191337
Document
Author
Full name
Veronica Ferreira Bahr Calazans
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2014
Supervisor
Committee
Plastino, Caetano Ernesto (President)
Barra, Eduardo Salles de Oliveira
Bertato, Fabio Maia
Bezerra, Valter Alnis
Pessoa Junior, Osvaldo Frota
Title in Portuguese
A filosofia da matemática nos Principia de Newton e suas implicações ontológicas
Keywords in Portuguese
Filosofia da matemática
Abstract in Portuguese
O programa newtoniano de matematização da natureza fornece os elementos necessários para a investigação de uma filosofia da matemática no pensamento de Isaac Newton, especialmente ao se considerar a relação entre as práticas matemáticas de Newton e Descartes. Tal relação suscita uma gama bastante ampla de problemas os quais interessam para esta pesquisa, particularmente, aqueles que dizem respeito ao realismo matemático. O que pretendemos é extrair dessa discussão aspectos relevantes da filosofia e da prática matemática de Newton, com vistas a esclarecer em que medida suas opções matemáticas o comprometem com a ontologia dos objetos matemáticos
Title in English
The philosophy of mathematics in Isaac Newtons Principia and its ontological implications
Keywords in English
Philosophy of mathematics
Abstract in English
The Newtonian program of mathematization of nature provides the necessary elements for investigating the philosophy of mathematics in Isaac Newtons thought, especially when considering the relationship between the mathematical practices of Newton and Descartes. This relationship evokes a wide range of problems which are of interest for this research, in particular issues concerning mathematical realism. The goal is to extract from this discussion relevant aspects of the Newtons mathematical philosophy and practice, with a view to clarify how his mathematical options commit him to the ontology of mathematical objects
 
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Publishing Date
2014-11-28
 
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