Abstract

The aim of this work is to elucidate the meaning of 'infinity' from a phenomenological perspective, especially within the framework of Husserl’s theory of knowledge and perception. In the first chapter I firstly sketch the basics of Husserl’s phenomenology of knowledge. Thereafter I delve into the questions concerning the reduction to the 'reellen Bestand', which is hold to be the ground of verification of purports in the "Logical Investigations". I then propose an interpretation of the categorial intuition as directed to the laws an 'Auffassung' follows when it organizes the sensual contents related to an object. In the second chapter I briefly expound Husserl’s phenomenology of perception and I show how perception can be hold as an intentional experience. Afterwards I concentrate on the constitution of space and of thing (Ding). I show in which sense the structures of both constitutions are dependent on the sensations and kinesthesis (i.e. proprioceptions) experienced by the subject. In the third chapter I finally deal with the problem of infinity. I face some recent interpretations of Husserl’s theory of perception according to which infinity is somehow intertwined in and even intuited through thing-perception (Dingwahrnehmung). I claim that thing-perception can not be hold as an access to infinity, i.e. no thing-perception is a perception of something as infinite. Following I show how some other kinds of sensual experience can correspond to a perception of infinity. On the base of some Husserl’s manuscripts and through a brief confrontation with Kant’s Analytic of the Sublime I sustain that infinity can be sensually intuited in the senses of limitlessness and of formlessness. I then show that categorial intuition is necessary in order to constitute the meaning of mathematical infinity, i.e. an endless whole of discrete parts. In fact, the idea of such an “entity” is dependent on the capacity of grasping the law of a serial production. In the conclusion I establish that mathematical infinity is the only kind of infinity which can not find any sensual correlate. This is due to the fact that it is a meaning composed by two contradictory prescriptions: 'reach the limitless' and 'go on without an end'. I consequently argue that the idea of infinity is grounded on sensual experience and does not need any supernatural origin