David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Infinity and infinite sets, as traditionally defined in mathematics, are shown to be logical absurdities. To maintain logical consistency, mathematics ought to abandon the traditional notion of infinity. It is proposed that infinity should be replaced with the concept of “indefiniteness”. This further implies that other fields drawing on mathematics, such as physics and cosmology, ought to reject theories that postulate infinities of space and time. It is concluded that however indefinite our calculations of space and time become, the Universe must nevertheless be finite.
|Keywords||Infinity Infinite Philosophy of Mathematics Space and Time Cosmology Finitism|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Denys A. Turner (2011). A Partially Skeptical Response to Hart and Russell. [REVIEW] In Michał Heller & W. H. Woodin (eds.), Infinity: New Research Frontiers. Cambridge University Press
Michael Heller (2011). Part IV. Perspectives on Infinity From Physics and Cosmology : 7. Some Considerations on Infinity in Physics / Carlo Rovelli ; 8. Cosmological Intimations of Infinity / Anthony Aguirre ; 9. Infinity and the Nostalgia of the Stars/ Marco Bersanelli ; 10. Infinities in Cosmology. [REVIEW] In Michał Heller & W. H. Woodin (eds.), Infinity: New Research Frontiers. Cambridge University Press
Ernest J. Welti (1987). The Philosophy of Strict Finitism. Theoria 2 (2):575-582.
Manuel Bremer (2007). Varieties of Finitism. Metaphysica 8 (2):131-148.
Brian Clegg (2003). Infinity: The Quest to Think the Unthinkable. Distributed by Publishers Group West.
Edward Nelson (2011). Part II. Perspectives on Infinity From Mathematics : 2. The Mathematical Infinity / Enrico Bombieri ; 3. Warning Signs of a Possible Collapse of Contemporary Mathematics. [REVIEW] In Michał Heller & W. H. Woodin (eds.), Infinity: New Research Frontiers. Cambridge University Press
Eli Maor (1987). To Infinity and Beyond: A Cultural History of the Infinite. Princeton University Press.
Michał Heller & W. H. Woodin (eds.) (2011). Infinity: New Research Frontiers. Cambridge University Press.
Added to index2010-07-23
Total downloads1,063 ( #360 of 1,934,933 )
Recent downloads (6 months)213 ( #378 of 1,934,933 )
How can I increase my downloads?