Infinity (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Infinity" in English language version.

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18books.google.com

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16web.archive.org

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6doi.org

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6archive.org

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5worldcat.org

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2semanticscholar.org

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2stanford.edu

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1harvard.edu

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1symmetrymagazine.org

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1oracle.com

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1arxiv.org

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acmsonline.org

Dauben, Joseph (1993). "Georg Cantor and the Battle for Transfinite Set Theory" (PDF). 9th ACMS Conference Proceedings: 4.

ams.org

mathscinet.ams.org

Martin-Löf, Per (1990), "Mathematics of infinity", COLOG-88 (Tallinn, 1988), Lecture Notes in Computer Science, vol. 417, Berlin: Springer, pp. 146–197, doi:10.1007/3-540-52335-9_54, ISBN 978-3-540-52335-2, MR 1064143
Aliprantis, Charalambos D.; Burkinshaw, Owen (1998), Principles of Real Analysis (3rd ed.), San Diego, CA: Academic Press, Inc., p. 29, ISBN 978-0-12-050257-8, MR 1669668, archived from the original on 2015-05-15

ams.org

Schattschneider, Doris (2010). "The Mathematical Side of M. C. Escher" (PDF). Notices of the AMS. 57 (6): 706–718.

archive.org

Hutten, Ernest Hirschlaff (1962). The origins of science; an inquiry into the foundations of Western thought. Internet Archive. London, Allen and Unwin. pp. 1–241. ISBN 978-0-04-946007-2. Retrieved 2020-01-09.
Cajori 1993, Sec. 421, Vol. II, p. 44 Cajori, Florian (1993) [1928 & 1929], A History of Mathematical Notations (Two Volumes Bound as One), Dover, ISBN 978-0-486-67766-8
"Arithmetica Infinitorum".
Cajori 1993, Sec. 435, Vol. II, p. 58 Cajori, Florian (1993) [1928 & 1929], A History of Mathematical Notations (Two Volumes Bound as One), Dover, ISBN 978-0-486-67766-8
These uses of infinity for integrals and series can be found in any standard calculus text, such as, Swokowski 1983, pp. 468–510 Swokowski, Earl W. (1983), Calculus with Analytic Geometry (Alternate ed.), Prindle, Weber & Schmidt, ISBN 978-0-87150-341-1
Weeks, Jeffrey (2001). The Shape of Space. CRC Press. ISBN 978-0-8247-0709-5.

arxiv.org

"Infinite Chess, PBS Infinite Series" Archived 2017-04-07 at the Wayback Machine PBS Infinite Series, with academic sources by J. Hamkins (infinite chess: Evans, C.D.A; Joel David Hamkins (2013). "Transfinite game values in infinite chess". arXiv:1302.4377 [math.LO]. and Evans, C.D.A; Joel David Hamkins; Norman Lewis Perlmutter (2015). "A position in infinite chess with game value $ω^4$". arXiv:1510.08155 [math.LO].).

books.google.com

Heath, Sir Thomas Little; Heiberg, Johan Ludvig (1908). The Thirteen Books of Euclid's Elements. Vol. v. 1. The University Press. p. 212.
Cauchy, Augustin-Louis (1821). Cours d'Analyse de l'École Royale Polytechnique. Libraires du Roi & de la Bibliothèque du Roi. p. 124. Retrieved October 12, 2019.
Ian Stewart (2017). Infinity: a Very Short Introduction. Oxford University Press. p. 117. ISBN 978-0-19-875523-4. Archived from the original on April 3, 2017.
Cajori, Florian (2007). A History of Mathematical Notations. Vol. 1. Cosimo, Inc. p. 214. ISBN 9781602066854.
Grattan-Guinness, Ivor (2005). Landmark Writings in Western Mathematics 1640-1940. Elsevier. p. 62. ISBN 978-0-08-045744-4. Archived from the original on 2016-06-03. Extract of p. 62
Scott, Joseph Frederick (1981), The mathematical work of John Wallis, D.D., F.R.S., (1616–1703) (2 ed.), American Mathematical Society, p. 24, ISBN 978-0-8284-0314-6, archived from the original on 2016-05-09
O'Flaherty, Wendy Doniger (1986), Dreams, Illusion, and Other Realities, University of Chicago Press, p. 243, ISBN 978-0-226-61855-5, archived from the original on 2016-06-29
Toker, Leona (1989), Nabokov: The Mystery of Literary Structures, Cornell University Press, p. 159, ISBN 978-0-8014-2211-9, archived from the original on 2016-05-09
Aliprantis, Charalambos D.; Burkinshaw, Owen (1998), Principles of Real Analysis (3rd ed.), San Diego, CA: Academic Press, Inc., p. 29, ISBN 978-0-12-050257-8, MR 1669668, archived from the original on 2015-05-15
Rao, Murali; Stetkær, Henrik (1991). Complex Analysis: An Invitation : a Concise Introduction to Complex Function Theory. World Scientific. p. 113. ISBN 9789810203757.
Eric Schechter (2005). Classical and Nonclassical Logics: An Introduction to the Mathematics of Propositions (illustrated ed.). Princeton University Press. p. 118. ISBN 978-0-691-12279-3. Extract of page 118
A.W. Moore (2012). The Infinite (2nd, revised ed.). Routledge. p. xiv. ISBN 978-1-134-91213-1. Extract of page xiv
Rudolf V Rucker (2019). Infinity and the Mind: The Science and Philosophy of the Infinite (illustrated ed.). Princeton University Press. p. 85. ISBN 978-0-691-19125-6. Extract of page 85
Felix Hausdorff (2021). Set Theory. American Mathematical Soc. p. 44. ISBN 978-1-4704-6494-3. Extract of page 44
Michael Frame; Benoit Mandelbrot (2002). Fractals, Graphics, and Mathematics Education (illustrated ed.). Cambridge University Press. p. 36. ISBN 978-0-88385-169-2. Extract of page 36
Brake, Mark (2013). Alien Life Imagined: Communicating the Science and Culture of Astrobiology (illustrated ed.). Cambridge University Press. p. 63. ISBN 978-0-521-49129-7.
Koupelis, Theo; Kuhn, Karl F. (2007). In Quest of the Universe (illustrated ed.). Jones & Bartlett Learning. p. 553. ISBN 978-0-7637-4387-1. Extract of p. 553
Morris Kline (1985). Mathematics for the Nonmathematician (illustrated, unabridged, reprinted ed.). Courier Corporation. p. 229. ISBN 978-0-486-24823-3. Extract of page 229, Section 10-7

cambridge.org

McLarty, Colin (15 January 2014) [September 2010]. "What Does it Take to Prove Fermat's Last Theorem? Grothendieck and the Logic of Number Theory". The Bulletin of Symbolic Logic. 16 (3): 359–377. doi:10.2178/bsl/1286284558. S2CID 13475845 – via Cambridge University Press.

chessvariants.com

Infinite chess at the Chess Variant Pages Archived 2017-04-02 at the Wayback Machine An infinite chess scheme.

compart.com

AG, Compart. "Unicode Character "∞" (U+221E)". Compart.com. Retrieved 2019-11-15.

doi.org

Jesseph, Douglas Michael (1998-05-01). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science. 6 (1&2): 6–40. doi:10.1162/posc_a_00543. ISSN 1063-6145. OCLC 42413222. S2CID 118227996. Archived from the original on 11 January 2012. Retrieved 1 November 2019 – via Project MUSE.
McLarty, Colin (15 January 2014) [September 2010]. "What Does it Take to Prove Fermat's Last Theorem? Grothendieck and the Logic of Number Theory". The Bulletin of Symbolic Logic. 16 (3): 359–377. doi:10.2178/bsl/1286284558. S2CID 13475845 – via Cambridge University Press.
Goodman, Nicolas D. (1981). "Reflections on Bishop's philosophy of mathematics". In Richman, F. (ed.). Constructive Mathematics. Lecture Notes in Mathematics. Vol. 873. Springer. pp. 135–145. doi:10.1007/BFb0090732. ISBN 978-3-540-10850-4.
Sarton, George (March 1928). "The Thirteen Books of Euclid's Elements. Thomas L. Heath, Heiberg". Isis. 10 (1): 60–62. doi:10.1086/346308. ISSN 0021-1753 – via The University of Chicago Press Journals.
Martin-Löf, Per (1990), "Mathematics of infinity", COLOG-88 (Tallinn, 1988), Lecture Notes in Computer Science, vol. 417, Berlin: Springer, pp. 146–197, doi:10.1007/3-540-52335-9_54, ISBN 978-3-540-52335-2, MR 1064143
Cohen 1963, p. 1143 Cohen, Paul (1963), "The Independence of the Continuum Hypothesis", Proceedings of the National Academy of Sciences of the United States of America, 50 (6): 1143–1148, Bibcode:1963PNAS...50.1143C, doi:10.1073/pnas.50.6.1143, PMC 221287, PMID 16578557.

doriclenses.com

Doric Lenses Archived 2013-01-24 at the Wayback Machine – Application Note – Axicons – 2. Intensity Distribution. Retrieved 7 April 2014.

free-online.co.uk

rogerstokes.free-online.co.uk

Stokes, Roger (July 2012). "19.2.1". Learning J. Archived from the original on 25 March 2012. Retrieved 6 September 2012.

gnu.org

"Infinity and NaN (The GNU C Library)". www.gnu.org. Retrieved 2021-03-15.

harvard.edu

ui.adsabs.harvard.edu

Cohen 1963, p. 1143 Cohen, Paul (1963), "The Independence of the Continuum Hypothesis", Proceedings of the National Academy of Sciences of the United States of America, 50 (6): 1143–1148, Bibcode:1963PNAS...50.1143C, doi:10.1073/pnas.50.6.1143, PMC 221287, PMID 16578557.

jhu.edu

muse.jhu.edu

Jesseph, Douglas Michael (1998-05-01). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science. 6 (1&2): 6–40. doi:10.1162/posc_a_00543. ISSN 1063-6145. OCLC 42413222. S2CID 118227996. Archived from the original on 11 January 2012. Retrieved 1 November 2019 – via Project MUSE.

mit.edu

classics.mit.edu

Aristotle. Physics. Translated by Hardie, R. P.; Gaye, R. K. The Internet Classics Archive. Book 3, Chapters 5–8.

nasa.gov

map.gsfc.nasa.gov

"Will the Universe expand forever?". NASA. 24 January 2014. Archived from the original on 1 June 2012. Retrieved 16 March 2015.

nautil.us

McKee, Maggie (25 September 2014). "Ingenious: Paul J. Steinhardt – The Princeton physicist on what's wrong with inflation theory and his view of the Big Bang". Nautilus. No. 17. NautilusThink Inc. Retrieved 31 March 2017.

nih.gov

ncbi.nlm.nih.gov

Cohen 1963, p. 1143 Cohen, Paul (1963), "The Independence of the Continuum Hypothesis", Proceedings of the National Academy of Sciences of the United States of America, 50 (6): 1143–1148, Bibcode:1963PNAS...50.1143C, doi:10.1073/pnas.50.6.1143, PMC 221287, PMID 16578557.

pubmed.ncbi.nlm.nih.gov

Cohen 1963, p. 1143 Cohen, Paul (1963), "The Independence of the Continuum Hypothesis", Proceedings of the National Academy of Sciences of the United States of America, 50 (6): 1143–1148, Bibcode:1963PNAS...50.1143C, doi:10.1073/pnas.50.6.1143, PMC 221287, PMID 16578557.

oeis.org

"List of LaTeX mathematical symbols - OeisWiki". oeis.org. Retrieved 2019-11-15.

oracle.com

docs.oracle.com

Gosling, James; et al. (27 July 2012). "4.2.3.". The Java Language Specification (Java SE 7 ed.). California: Oracle America, Inc. Archived from the original on 9 June 2012. Retrieved 6 September 2012.

rit.edu

se.rit.edu

Elglaly, Yasmine Nader; Quek, Francis. "Review of "Where Mathematics comes from: How the Embodied Mind Brings Mathematics Into Being" By George Lakoff and Rafael E. Nunez" (PDF). CHI 2009. Archived from the original (PDF) on 2020-02-26. Retrieved 2021-03-25.

semanticscholar.org

api.semanticscholar.org

Jesseph, Douglas Michael (1998-05-01). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science. 6 (1&2): 6–40. doi:10.1162/posc_a_00543. ISSN 1063-6145. OCLC 42413222. S2CID 118227996. Archived from the original on 11 January 2012. Retrieved 1 November 2019 – via Project MUSE.
McLarty, Colin (15 January 2014) [September 2010]. "What Does it Take to Prove Fermat's Last Theorem? Grothendieck and the Logic of Number Theory". The Bulletin of Symbolic Logic. 16 (3): 359–377. doi:10.2178/bsl/1286284558. S2CID 13475845 – via Cambridge University Press.

stanford.edu

plato.stanford.edu

"Zeno's Paradoxes". Stanford University. October 15, 2010. Retrieved April 3, 2017.
Bell, John Lane. "Continuity and Infinitesimals". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy.

symmetrymagazine.org

"Our universe is Flat". FermiLab/SLAC. 7 April 2015. Archived from the original on 10 April 2015.

tamu.edu

math.tamu.edu

Allen, Donald (2003). "The History of Infinity" (PDF). Texas A&M Mathematics. Archived from the original (PDF) on August 1, 2020. Retrieved Nov 15, 2019.

uchicago.edu

journals.uchicago.edu

Sarton, George (March 1928). "The Thirteen Books of Euclid's Elements. Thomas L. Heath, Heiberg". Isis. 10 (1): 60–62. doi:10.1086/346308. ISSN 0021-1753 – via The University of Chicago Press Journals.

utexas.edu

farside.ph.utexas.edu

Euclid (2008) [c. 300 BC]. Euclid's Elements of Geometry (PDF). Translated by Fitzpatrick, Richard. Lulu.com. p. 6 (Book I, Postulate 5). ISBN 978-0-6151-7984-1.

web.archive.org

Allen, Donald (2003). "The History of Infinity" (PDF). Texas A&M Mathematics. Archived from the original (PDF) on August 1, 2020. Retrieved Nov 15, 2019.
Jesseph, Douglas Michael (1998-05-01). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science. 6 (1&2): 6–40. doi:10.1162/posc_a_00543. ISSN 1063-6145. OCLC 42413222. S2CID 118227996. Archived from the original on 11 January 2012. Retrieved 1 November 2019 – via Project MUSE.
Ian Stewart (2017). Infinity: a Very Short Introduction. Oxford University Press. p. 117. ISBN 978-0-19-875523-4. Archived from the original on April 3, 2017.
Grattan-Guinness, Ivor (2005). Landmark Writings in Western Mathematics 1640-1940. Elsevier. p. 62. ISBN 978-0-08-045744-4. Archived from the original on 2016-06-03. Extract of p. 62
Scott, Joseph Frederick (1981), The mathematical work of John Wallis, D.D., F.R.S., (1616–1703) (2 ed.), American Mathematical Society, p. 24, ISBN 978-0-8284-0314-6, archived from the original on 2016-05-09
O'Flaherty, Wendy Doniger (1986), Dreams, Illusion, and Other Realities, University of Chicago Press, p. 243, ISBN 978-0-226-61855-5, archived from the original on 2016-06-29
Toker, Leona (1989), Nabokov: The Mystery of Literary Structures, Cornell University Press, p. 159, ISBN 978-0-8014-2211-9, archived from the original on 2016-05-09
Aliprantis, Charalambos D.; Burkinshaw, Owen (1998), Principles of Real Analysis (3rd ed.), San Diego, CA: Academic Press, Inc., p. 29, ISBN 978-0-12-050257-8, MR 1669668, archived from the original on 2015-05-15
Doric Lenses Archived 2013-01-24 at the Wayback Machine – Application Note – Axicons – 2. Intensity Distribution. Retrieved 7 April 2014.
"Will the Universe expand forever?". NASA. 24 January 2014. Archived from the original on 1 June 2012. Retrieved 16 March 2015.
"Our universe is Flat". FermiLab/SLAC. 7 April 2015. Archived from the original on 10 April 2015.
Gosling, James; et al. (27 July 2012). "4.2.3.". The Java Language Specification (Java SE 7 ed.). California: Oracle America, Inc. Archived from the original on 9 June 2012. Retrieved 6 September 2012.
Stokes, Roger (July 2012). "19.2.1". Learning J. Archived from the original on 25 March 2012. Retrieved 6 September 2012.
Infinite chess at the Chess Variant Pages Archived 2017-04-02 at the Wayback Machine An infinite chess scheme.
"Infinite Chess, PBS Infinite Series" Archived 2017-04-07 at the Wayback Machine PBS Infinite Series, with academic sources by J. Hamkins (infinite chess: Evans, C.D.A; Joel David Hamkins (2013). "Transfinite game values in infinite chess". arXiv:1302.4377 [math.LO]. and Evans, C.D.A; Joel David Hamkins; Norman Lewis Perlmutter (2015). "A position in infinite chess with game value $ω^4$". arXiv:1510.08155 [math.LO].).
Elglaly, Yasmine Nader; Quek, Francis. "Review of "Where Mathematics comes from: How the Embodied Mind Brings Mathematics Into Being" By George Lakoff and Rafael E. Nunez" (PDF). CHI 2009. Archived from the original (PDF) on 2020-02-26. Retrieved 2021-03-25.

wikidot.com

mathonline.wikidot.com

"Properly Divergent Sequences - Mathonline". mathonline.wikidot.com. Retrieved 2019-11-15.

worldcat.org

search.worldcat.org

Jesseph, Douglas Michael (1998-05-01). "Leibniz on the Foundations of the Calculus: The Question of the Reality of Infinitesimal Magnitudes". Perspectives on Science. 6 (1&2): 6–40. doi:10.1162/posc_a_00543. ISSN 1063-6145. OCLC 42413222. S2CID 118227996. Archived from the original on 11 January 2012. Retrieved 1 November 2019 – via Project MUSE.
Gowers, Timothy; Barrow-Green, June (2008). The Princeton companion to mathematics. Imre Leader, Princeton University. Princeton: Princeton University Press. ISBN 978-1-4008-3039-8. OCLC 659590835.
Sarton, George (March 1928). "The Thirteen Books of Euclid's Elements. Thomas L. Heath, Heiberg". Isis. 10 (1): 60–62. doi:10.1086/346308. ISSN 0021-1753 – via The University of Chicago Press Journals.
Russell 1996, p. 347 Russell, Bertrand (1996) [1903], The Principles of Mathematics, New York: Norton, ISBN 978-0-393-31404-5, OCLC 247299160

worldcat.org

Gowers, Timothy; Barrow-Green, June (2008). The Princeton companion to mathematics. Imre Leader, Princeton University. Princeton: Princeton University Press. ISBN 978-1-4008-3039-8. OCLC 659590835.

youtube.com

"Infinite Chess, PBS Infinite Series" Archived 2017-04-07 at the Wayback Machine PBS Infinite Series, with academic sources by J. Hamkins (infinite chess: Evans, C.D.A; Joel David Hamkins (2013). "Transfinite game values in infinite chess". arXiv:1302.4377 [math.LO]. and Evans, C.D.A; Joel David Hamkins; Norman Lewis Perlmutter (2015). "A position in infinite chess with game value $ω^4$". arXiv:1510.08155 [math.LO].).