This chapter discusses the philosophical relevance of the interaction between mathematical physics and pure mathematics, and the role of computers in mathematics in this interaction.Expand

Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period with a sophisticated picture of the subtle dependencies between technical development and philosophical reflection.Expand

This article reviewing the contributions of some thinkers who argued in favor of the assignment of different sizes to infinite collections of natural numbers and some recent mathematical developments that generalize the part–whole principle to infinite sets in a coherent fashion show how these new developments are important for a proper evaluation of a number of positions in philosophy of mathematics.Expand

This chapter offers a broad survey of the literature on mathematical explanation, and shows the importance of this area of work for a philosophical understanding of mathematical practice and for… Expand

Nous vous presentons ici le colloque "Fondements et Justification des Pratiques en Mathematiques" qui s'est deroule a l'issu du groupe : Les fondations des mathematiques au XIXe siecle : entre… Expand

The article describes and explains the way in whichVisual thinking fell into desrepute, the renaissance of visual thinking in mathematics over recent decades, and the ways in which visual thinking has been rehabilitated in epistemology of mathematics and logic.Expand

IN 1641 EVANGELISTA TORRICELLI discovered that a certain solid of infinite length, which he called the "acute hyperbolic solid," has a finite volume. This paradoxical result created considerable… Expand

This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of… Expand