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The Mathematical Intelligencer Flunks the Olympics. / Gutman, Alexander E.; Katz, Mikhail G.; Kudryk, Taras S. et al.

In: Foundations of Science, Vol. 22, No. 3, 01.09.2017, p. 539-555.

Research output: Contribution to journal › Article › peer-review

Harvard

Gutman, AE, Katz, MG, Kudryk, TS & Kutateladze, SS 2017, 'The Mathematical Intelligencer Flunks the Olympics', Foundations of Science, vol. 22, no. 3, pp. 539-555. https://doi.org/10.1007/s10699-016-9485-8

APA

Gutman, A. E., Katz, M. G., Kudryk, T. S., & Kutateladze, S. S. (2017). The Mathematical Intelligencer Flunks the Olympics. Foundations of Science, 22(3), 539-555. https://doi.org/10.1007/s10699-016-9485-8

Vancouver

Gutman AE, Katz MG, Kudryk TS, Kutateladze SS. The Mathematical Intelligencer Flunks the Olympics. Foundations of Science. 2017 Sept 1;22(3):539-555. doi: 10.1007/s10699-016-9485-8

Author

Gutman, Alexander E. ; Katz, Mikhail G. ; Kudryk, Taras S. et al. / The Mathematical Intelligencer Flunks the Olympics. In: Foundations of Science. 2017 ; Vol. 22, No. 3. pp. 539-555.

BibTeX

@article{2c561decac8440b5b8ee73547fcaf74b,
title = "The Mathematical Intelligencer Flunks the Olympics",
abstract = "The Mathematical Intelligencer recently published a note by Y. Sergeyev that challenges both mathematics and intelligence. We examine Sergeyev{\textquoteright}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{\textquoteright}s grossone system is unnecessary and vague, and that whatever consistent subsystem could be salvaged is subsumed entirely within a stronger and clearer system (IST). Lou Kauffman, who published an article on a grossone, places it squarely outside the historical panorama of ideas dealing with infinity and infinitesimals.",
author = "Gutman, {Alexander E.} and Katz, {Mikhail G.} and Kudryk, {Taras S.} and Kutateladze, {Semen S.}",
note = "Funding Information: We are grateful to Rob Ely for helpful suggestions. We thank the anonymous referee for Foundations of Science for helpful comments. M. Katz was partially funded by the Israel Science Foundation Grant No. 1517/12. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht..",
year = "2017",
month = sep,
day = "1",
doi = "10.1007/s10699-016-9485-8",
language = "English",
volume = "22",
pages = "539--555",
journal = "Foundations of Science",
issn = "1233-1821",
publisher = "Springer Netherlands",
number = "3",

}

RIS

TY - JOUR

T1 - The Mathematical Intelligencer Flunks the Olympics

AU - Gutman, Alexander E.

AU - Katz, Mikhail G.

AU - Kudryk, Taras S.

AU - Kutateladze, Semen S.

N1 - Funding Information: We are grateful to Rob Ely for helpful suggestions. We thank the anonymous referee for Foundations of Science for helpful comments. M. Katz was partially funded by the Israel Science Foundation Grant No. 1517/12. Publisher Copyright: © 2016, Springer Science+Business Media Dordrecht..

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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 (IST). Lou Kauffman, who published an article on a grossone, places it squarely outside the historical panorama of ideas dealing with infinity and infinitesimals.

AB - 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 (IST). Lou Kauffman, who published an article on a grossone, places it squarely outside the historical panorama of ideas dealing with infinity and infinitesimals.

UR - http://www.scopus.com/inward/record.url?scp=84961145161&partnerID=8YFLogxK

U2 - 10.1007/s10699-016-9485-8

DO - 10.1007/s10699-016-9485-8

M3 - Article

AN - SCOPUS:84961145161

VL - 22

SP - 539

EP - 555

JO - Foundations of Science

JF - Foundations of Science

SN - 1233-1821

IS - 3

ER -

ID: 9048930