I processi di oggettivazione mediante la matematizzazione

Since the Scientific Revolution of the 16th and 17th centuries, objectivation and mathematization have been considered two sides of the same coin. The debate over the nature of their relationship is an issue of the first importance in epistemology and it has also been taken into account by E. Husserl in his last work The Crisis of European Sciences. According to Galileo, the book of nature is written in mathematical language and only those who know that language can fathom its secrets. Galileo’s view is not shared by Husserl because, in his opinion, it has led to the false belief that the only objective world is the one described by modern science. Referring in particular to geometry, the aim of this paper is to show two different levels of objectivity: the former concerning the internal organization of the intuitive given world, the latter, pursued by science, gained through its idealization. Mathematization is now seen as possible on the base of the invariant structure of the world.