References for: Infinity

Books

  1. J Benardete, Infinity (Oxford, 1964).
  2. I N Burova, The development of the problem of infinity in the history of science (Russian), Nauka (Moscow, 1987).
  3. E Maor, To infinity and beyond : A cultural history of the infinite (Boston, MA, 1987).
  4. E Maor, To infinity and beyond : A cultural history of the infinite (Princeton, NJ, 1991).
  5. F Monnoyeur, Infini des mathématiciens, infini des philosophes, (Paris, 1997).
  6. A Moretto, Hegel e la "matematica dell'infinito" (Trento, 1984).
  7. R Rucker, Infinity and the mind (Prinveton, N.J., 1995).
  8. N Ya Vilenkin, In search of infinity (Boston, MA, 1995).
  9. N Ya Vilenkin, In search of infinity (Russian) Nauka (Moscow, 1983).
Articles

  1. D A Anapolitanos and A K Demis, Incommensurability and infinity according to Proclus, Neusis No. 5 (1996), 55-73, 170.
  2. F C M Bosinelli, I quattro infiniti di Leibniz, Ann. Discipl. Filos. Univ. Bologna 10 (1988/89), 117-134.
  3. F C M Bosinelli, Uber Leibniz' Unendlichkeitstheorie, Studia Leibnitiana 23 (2) (1991), 151-169.
  4. H Burkhardt and C Dufour, Infinity in Leibniz's metaphysics, in The Leibniz renaissance, Firenze, 1986 (Florence, 1989), 43-54.
  5. P Costabel, Descartes et la mathématique de l'infini, Historia Sci. No. 29 (1985), 37-49.
  6. A A Davenport, The Catholics, the Cathars, and the concept of infinity in the thirteenth century, Isis 88 (2) (1997), 263-295.
  7. P Dugac, La théorie des fonctions analytiques de Lagrange et la notion d'infini, in Konzepte des mathematisch Unendlichen im 19. Jahrhundert (Göttingen, 1990), 34-46.
  8. J E Fenstad, Infinities in mathematics and the natural sciences, in Methods and applications of mathematical logic, Campinas, 1985, Contemp. Math. 69 (Providence, RI, 1988), 79-92.
  9. H Grauert, Die Unendlichkeit in der Mathematik, Math. Semesterber. 37 (2) (1990), 153-156.
  10. M Guillemot and D Daumas, En route for infinity, History of mathematics : History of problems (Paris,1997), 7-32.
  11. J Holtsmark, The concept of infinity from Aristotle to the scholastics, Phys. Norveg. 5 (3-4) (1971), 311-318.
  12. W S Horng, How did Liu Hui perceive the concept of infinity : a revisit, Historia Sci. (2) 4 (3) (1995), 207-222.
  13. J Hrubes, The genesis of the philosophical-mathematical concept of infinity (Czech), Sb. Prací Ped. Fak. v Ostrave Mat. Fyz. Ser. A No. 22 (1987), 3-23.
  14. C G Huang, The notion of infinity for 2500 years (Chinese), Tianjin Jiaoyu Xueyuan Xuebao Ziran Ban (1) (1993), 3-7.
  15. G S Jha, Concept of infinity in Hindu mathematics, Math. Ed. (Siwan) 15 (1) (1981), B13-B19.
  16. E Knobloch, Galileo and Leibniz : different approaches to infinity, Arch. Hist. Exact Sci. 54 (2) (1999), 87-99.
  17. W R Knorr, Infinity and continuity in ancient and medieval thought (Ithaca, N.Y., 1982), 112-145.
  18. T Krischer, Mathematische Unendlichkeit und Induktion bei Platon und Aristoteles, in Aristoteles. Werk und Wirkung 1 (Berlin, 1985), 518-542.
  19. J E McGuire, Space, geometrical objects and infinity : Newton and Descartes on extension, in Nature mathematized I, Montreal, Que., 1980 (Dordrecht-Boston, Mass., 1983), 69-112.
  20. H Meyer, Unendlichkeitsbegriff und Infinitesimalrechnung im Denken Lazare Carnots, 200 Jahre Grosse Französische Revolution, Wiss. Z. Tech. Univ. Magdeburg 33 (2) (1989), 61-62.
  21. A W Moore, A brief history of infinity, Sci. Amer. 272 (4) (1995), 112-116.
  22. E Naert, Double infinité chez Pascal et Monade, Studia Leibnitiana 17 (1) (1985), 44-51.
  23. R Netz, K Saito and N Tchernetska, A new reading of Method Proposition 14 : preliminary evidence from the Archimedes palimpsest. I, SCIAMVS 2 (2001), 9-29.
  24. S Probst, Infinity and creation : the origin of the controversy between Thomas Hobbes and the Savilian professors Seth Ward and John Wallis, British J. Hist. Sci. 26 (90-3) (1993), 271-279.
  25. R Rucker, The actual infinite, Speculations in Science and Technology 3 (1980), 197-208.
  26. J Seppänen, Infinity - an outline of conceptions in mythology, cosmology and natural philosophy. Finite versus infinite, Discrete Math. Theoret. Comput. Sci. (2000), 257-283.
  27. D D Spalt, Die Unendlichkeiten bei Bernard Bolzano, in Konzepte des mathematisch Unendlichen im 19. Jahrhundert (Göttingen, 1990), 189-218.
  28. V Vita, Mathematical infinity in Aristotle and his time (Italian), Boll. Storia Sci. Mat. 6 (2) (1986), 109-132.
  29. P Vopenka, Infinity, sets and possibility in the sense of B Bolzano (Polish), Wiadom. Mat. 26 (2) (1985), 171-204.
  30. W C Waterhouse, Gauss on infinity, Historia Math. 6 (4) (1979), 430-436.

JOC/EFR February 2002

MacTutor History of Mathematics
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