Jump to ContentJump to Main Navigation
Oxford Studies in Medieval Philosophy Volume 5$
Users without a subscription are not able to see the full content.

Robert Pasnau

Print publication date: 2017

Print ISBN-13: 9780198806035

Published to Oxford Scholarship Online: August 2017

DOI: 10.1093/oso/9780198806035.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 19 January 2020

Ockham on the Parts of the Continuum

Ockham on the Parts of the Continuum

Chapter:
(p.181) Ockham on the Parts of the Continuum
Source:
Oxford Studies in Medieval Philosophy Volume 5
Author(s):

Magali Roques

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198806035.003.0006

This paper argues that, for Ockham, the parts of the continuum exist in act in the continuum: they are already there before any division of the continuum. Yet, they are infinitely many in that no division of the continuum will exhaust all the existing parts of the continuum taken conjointly. This reading of Ockham takes into account the crucial place of his new concept of the infinite in his analysis of the infinite divisibility of the continuum. Like many of his fellow anti-atomists, Ockham stresses that the concept of a potential infinite seems to contradict Aristotle’s modal logic, in particular the central assumption that there is no potency that will never be realized. Ockham, like other fourteenth-century anti-atomists, tried not only to refute atomism, but also to propose an analysis of the infinite divisibility of the continuum that is not incompatible with their modal logic.

Keywords:   William of Ockham, anti-atomism, continuum, infinite divisibility, paradoxes of the infinite

Oxford 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 .