David Hume's Critique On Infinite Divisibility Of 'Space' And 'Time'

This study discusses David Hume's critique of the concept of infinite divisibility. According to Hume, the idea of infinite divisibility of space and time destroys the possibility of the knowledge of geometry. The first part of the thesis introduces the epistemological and ontological views held by a number of rationalist philosophers, such as Descartes and Leibniz. Next, the foundations of Hume's empiricist epistemology are laid bare. The comparison of two different theories of knowledge provides an insight into the different interpretations of the concept of infinity. For rationalist thought, infinite divisibility of matter and space is possible, yet Hume rejects this possibility on grounds of his own philosophy. The second part of the study examines the origins of the concept of infinity in Hume's philosophy. Next, the question is raised as to where Hume finds the foundations of his ideas of space and time, which in turn brings up the question whether there is a necessary connection between the concepts of infinity and divisibility. Finally, the views held by Hume, who thinks that infinite divisibility is impossible, are discussed in detail, and the deficiencies that Hume sees in the definitions and demonstrations of geometry are put forth. In the conclusion, Hume's critique of infinite divisibility is examined within the context of the possibility of the knowledge of geometry.