Foundations of Science 22 (3):539-555 (2017)

Abstract
The Mathematical Intelligencer recently published a note by Y. Sergeyev that challenges both mathematics and intelligence. We examine Sergeyev’s claims concerning his purported Infinity computer. We compare his grossone system with the classical Levi-Civita fields and with the hyperreal framework of A. Robinson, and analyze the related algorithmic issues inevitably arising in any genuine computer implementation. We show that Sergeyev’s grossone system is unnecessary and vague, and that whatever consistent subsystem could be salvaged is subsumed entirely within a stronger and clearer system. Lou Kauffman, who published an article on a grossone, places it squarely outside the historical panorama of ideas dealing with infinity and infinitesimals.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10699-016-9485-8
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 53,047
External links

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

Non-Standard Analysis.Gert Heinz Müller - 1969 - Journal of Symbolic Logic 34 (2):292-294.

View all 21 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

A Mathematical Analysis of the Sleeping Beauty Problem.Jeffrey Rosenthal - 2009 - The Mathematical Intelligencer 31:32-33.
Ugly Mathematics.Ulianov Montano - 2012 - Mathematical Intelligencer.
Hypersets.J. Barwise & L. Moss - 1991 - The Mathematical Intelligencer 13:31-41.
The Catastrophe Controversy.J. Guckenheimer - 1978 - The Mathematical Intelligencer 1.
Review of “Kurt Gödel: Das Album”,.Juliette Kennedy - 2007 - The Mathematical Intelligencer 29 (3): 73-75,.
Review of D. Aeheson, 1089 and All That[REVIEW]John Mighton - 2004 - Mathematical Intelligencer 26 (2):70.

Analytics

Added to PP index
2016-03-17

Total views
13 ( #688,542 of 2,344,283 )

Recent downloads (6 months)
2 ( #331,934 of 2,344,283 )

How can I increase my downloads?

Downloads

My notes