[maths:pourciauDigitalOcean2022]citation

Pourciau, On the Digital Ocean (2022)

Citation
Type
article
Author
Pourciau, Sarah
Title
On the Digital Ocean
Journal
Critical Inquiry
Publisher
The University of Chicago Press
Volume
48
Number
2
Pages
233--261
Year
2022
Month
jan
DOI
10.1086/717319
ISSN
0093-1896
Abstract
The article investigates the mathematical and philosophical backdrop of the digital ocean as contemporary model, moving from the digitalized ocean of Georg Cantor's set theory to that of Alan Turing's computation theory. It examines in Cantor what is arguably the most rigorous historical attempt to think the structural essence of the continuum, in order to clarify what disappears from the computational paradigm once Turing begins to advocate for the structural irrelevance of this ancient ground.