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ଜର୍ଜ କ୍ୟାଣ୍ଟର
Georg Cantor2.jpg
ଜନ୍ମ ଓ ଜନ୍ମସ୍ଥାନ
ଜର୍ଜ ଫର୍ଡିନାଣ୍ଡ ଲୁଡୱିଗ ଫିଲିପ କ୍ୟାଣ୍ଟର

ମାର୍ଚ୍ଚ ୩, ୧୮୪୫(1845-03-03)
ମୃତ୍ୟୁ୬ ଜାନୁଆରୀ ୧୯୧୮(1918-01-06) (ବୟସ ୭୨)

ବିଖ୍ୟାତ ଜର୍ମାନ ଗଣିତଜ୍ଞ । ସେଟ୍ ତତ୍ୱର ଉଦ୍ଭାବକ ଭାବେ ପ୍ରସିଦ୍ଧ ।


ଅଧିକ ଦେଖନ୍ତୁ[ସମ୍ପାଦନା]

Older sources on Cantor's life should be treated with caution. See Historiography section above.
Primary literature in English
  • Cantor, Georg (1955) [1915], Philip Jourdain (ed.), Contributions to the Founding of the Theory of Transfinite Numbers, New York: Dover, ISBN 978-0-486-60045-1 Text "harv" ignored (help).
  • Ewald, William B., ed. (1996), From Immanuel Kant to David Hilbert: A Source Book in the Foundations of Mathematics, New York: Oxford University Press, ISBN 978-0-19-853271-2 Text "harv" ignored (help).
Primary literature in German
Secondary literature
  • Aczel, Amir D. (2000), The mystery of the Aleph: Mathematics, the Kabbala, and the Human Mind, New York: Four Walls Eight Windows Publishing Text "harv" ignored (help). ISBN 0-7607-7778-0. A popular treatment of infinity, in which Cantor is frequently mentioned.
  • Dauben, Joseph W. (1977), "Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite", Journal of the History of Ideas, 38 (1): 85–108 Text "harv" ignored (help).
  • Dauben, Joseph W. (1979), Georg Cantor: his mathematics and philosophy of the infinite, Boston: Harvard University Press Text "harv" ignored (help). The definitive biography to date. ISBN 978-0-691-02447-9
  • Dauben, Joseph W. (1983), "Georg Cantor and the Origins of Transfinite Set Theory", Scientific American, 248 (6): 122–131 Text "harv" ignored (help); Unknown parameter |month= ignored (help)
  • Dauben, Joseph (1993, 2004), "[www.acmsonline.org/Dauben93.htm Georg Cantor and the Battle for Transfinite Set Theory]", Proceedings of the 9th ACMS Conference (Westmont College, Santa Barbara, CA), pp. 1–22 Text "harv" ignored (help). Internet version published in Journal of the ACMS 2004.
  • Davenport, Anne A. (1997), "The Catholics, the Cathars, and the Concept of Infinity in the Thirteenth Century", Isis, 88 (2): 263–295 Text "harv" ignored (help).
  • Ferreirós, José (2007), Labyrinth of Thought: A History of Set Theory and Its Role in Mathematical Thought, Basel, Switzerland: Birkhäuser Text "harv" ignored (help). ISBN 3-7643-8349-6 Contains a detailed treatment of both Cantor's and Dedekind's contributions to set theory.
  • Grattan-Guinness, Ivor (1971), "Towards a Biography of Georg Cantor", Annals of Science, 27: 345–391 Text "harv" ignored (help).
  • Grattan-Guinness, Ivor (2000), The Search for Mathematical Roots: 1870–1940, Princeton University Press Text "harv" ignored (help). ISBN 978-0-691-05858-0
  • Gray, Robert (1994), "[mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=2907 Georg Cantor and Transcendental Numbers]", American Mathematical Monthly, 101: 819–832 Text "harv" ignored (help).
  • Hallett, Michael (1986), Cantorian Set Theory and Limitation of Size, New York: Oxford University Press Text "harv" ignored (help). ISBN 0-19-853283-0
  • Halmos, Paul (1998, 1960), Naive Set Theory, New York & Berlin: Springer Text "harv" ignored (help). ISBN 3-540-90092-6
  • Hill, C. O.; Rosado Haddock, G. E. (2000), Husserl or Frege? Meaning, Objectivity, and Mathematics, Chicago: Open Court Text "harv" ignored (help). ISBN 0-8126-9538-0 Three chapters and 18 index entries on Cantor.
  • Johnson, Phillip E. (1972), "The Genesis and Development of Set Theory", The Two-Year College Mathematics Journal, 3 (1): 55–62 Text "harv" ignored (help).
  • Meschkowski, Herbert (1983), Georg Cantor, Leben, Werk und Wirkung (George Cantor, Life, Work and Influence, in German), Wieveg, Braunschweig Text "harv" ignored (help)
  • Moore, A.W. (1995), "A brief history of infinity", Scientific American, 272 (4): 112–116 Text "harv" ignored (help); Unknown parameter |month= ignored (help).
  • Penrose, Roger (2004), The Road to Reality, Alfred A. Knopf Text "harv" ignored (help). ISBN 0-679-77631-1 Chapter 16 illustrates how Cantorian thinking intrigues a leading contemporary theoretical physicist.
  • Purkert, Walter; Ilgauds, Hans Joachim (1985), Georg Cantor: 1845–1918, Birkhäuser Text "harv" ignored (help). ISBN 0-8176-1770-1
  • Reid, Constance (1996), Hilbert, New York: Springer-Verlag Text "harv" ignored (help). ISBN 0-387-04999-1
  • Rucker, Rudy (2005, 1982), Infinity and the Mind, Princeton University Press Text "harv" ignored (help). ISBN 0-553-25531-2 Deals with similar topics to Aczel, but in more depth.
  • Rodych, Victor (2007), "[plato.stanford.edu/entries/wittgenstein-mathematics/ Wittgenstein's Philosophy of Mathematics]", in Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy Text "harv" ignored (help).
  • Snapper, Ernst (1979), "[math.boisestate.edu/~tconklin/MATH547/Main/Exhibits/Three%20Crises%20in%20Math%20A.pdf The Three Crises in Mathematics: Logicism, Intuitionism and Formalism]", Mathematics Magazine, 524: 207–216 Text "harv" ignored (help).
  • Suppes, Patrick (1972, 1960), Axiomatic Set Theory, New York: Dover Text "harv" ignored (help). ISBN 0-486-61630-4 Although the presentation is axiomatic rather than naive, Suppes proves and discusses many of Cantor's results, which demonstrates Cantor's continued importance for the edifice of foundational mathematics.
  • Wallace, David Foster (2003), Everything and More: A Compact History of Infinity, New York: W.W. Norton and Company Text "harv" ignored (help). ISBN 0-393-00338-8
  • Weir, Alan (1998), "Naive Set Theory is Innocent!", Mind, 107 (428): 763–798 Text "harv" ignored (help).