Libro del Prof. Pedro M. Rosario Barbosa: The Relation between Formal Science and Natural Science
.The Relation between Formal Science and Natural Science
proposes Husserl's philosophy and epistemology of mathematics as viable platonist alternatives to Willard Van Orman Quine's and Hilary Putnam's views on science and is relationship with logic and mathematics.
The author shows that Quine's rejection of the analytic and synthetic dichotomy does not offer an adequate understanding of formal science and natural science. The author uses Husserl's philosophy, and explores the nature of logic and mathematics, their relationship, and how they provide the a priori
basis for any science whatsoever. He also replies to many objections against platonism, and refutes some alternatives such as fictionism and semiplatonism. Once he shows that a platonist epistemology of mathematics is possible, he refutes Quine's and Putnam's assertions that it is possible to revise formal science in light of recalcitrant experience, and that formal science exists because it is indispensable for science.