Offers a new approach to the philosophy of mathematics

Presents a new version of mathematical structuralism

Provides a fresh perspective on the applicability of mathematics in science

Offers a new approach to the philosophy of mathematics Presents a new version of mathematical structuralism Provides a fresh perspective on the applicability of mathematics in science

Autorentext
Professor of Mathematics (retired) State University of São Paulo, my main interests are the philosophy of formal and empirical sciences, phenomenology and the foundations of mathematics, fields which concentrate my publications. I am the co-author, together with Claire Ortiz Hill, of the book The Road Not Taken On Husserl's Philosophy of Logic and Mathematics (London: College Publications, 2013). I am a member of the Centre of Philosophy of the University of Lisbon and a researcher at the National Council of Scientific and Technological Development (CNPq) of the Brazilian Ministry of Science and Technology.

Inhalt

1. The applicability of mathematics in science: a problem?.- 2. Form and Content. Mathematics as a formal science.- 3. Mathematical ontology: what does it mean to exist?.- 4. Mathematical structures: what are they and how do we know them?.- 5. Playing with structures: the applicability of mathematics.- 6. How to use mathematics to find out how the world is.- 7. Logical, epistemological, and philosophical conclusions.