Jump to ContentJump to Main Navigation
EnactionToward a New Paradigm for Cognitive Science$
Users without a subscription are not able to see the full content.

John Stewart, Olivier Gapenne, and Ezequiel A. Di Paolo

Print publication date: 2010

Print ISBN-13: 9780262014601

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262014601.001.0001

Show Summary Details
Page of

PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 30 June 2022

Enacting Infinity: Bringing Transfinite Cardinals into Being

Enacting Infinity: Bringing Transfinite Cardinals into Being

(p.307) 11 Enacting Infinity: Bringing Transfinite Cardinals into Being

Rafael E. Núñez

The MIT Press

This chapter argues that cases wherein an empirically observable physical reality is lacking—when there is no pregiven world to be mentally re-presented—are provided by mathematics. In particular, it argues that mathematical infinity, as a form of cognition which by definition is not directly available to experience due to the finite nature of living systems, is an excellent candidate for fully exploring the power of enaction as a paradigm for cognitive science. The chapter focuses on a particular form of actual infinity—or infinity as a complete entity—namely, the transfinite cardinal numbers as they were conceived by one of the most controversial characters in the history of mathematics, the nineteenth-century mathematician Georg Cantor.

Keywords:   empirically observable, physical reality, mathematics, mathematical infinity, enaction, cognitive science, actual infinity, transfinite cardinal numbers, Georg Cantor

MIT Press Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs, and if you can't find the answer there, please contact us.