Chapter
Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite
Abstract
In this paper I present a fictional dialogue between Gottfried Leibniz and Georg Cantor on the actual infinite. The dialogue is set in the afterlife, and I use the authors’ own words to the extent I can. Leibniz, enlisting a distinction due to the Scholastics, denied the actual infinite in the sense of a collection or set of terms (the categorematic infinite) in favour of a syncategorematic understanding: an actually infinite multiplicity of …
Authors
Arthur RTW
Book title
Leibniz and the Structure of Sciences
Series
Boston Studies in the Philosophy and History of Science
Volume
337
Pagination
pp. 71-109
Publisher
Springer Nature
Publication Date
2019
DOI
10.1007/978-3-030-25572-5_3