Catatan George_Boole

  1. 1 2 3 "Who is George Boole: the mathematician behind the Google doodle". Sydney Morning Herald. 2 November 2015. 
  2. ↑ Boole, George (2012) [Originally published by Watts & Co., London, in 1952]. Rhees, Rush, penyunting. Studies in Logic and Probability (edisi Reprint). Mineola, NY: Dover Publications. m/s. 273. ISBN 978-0-486-48826-4. Dicapai 27 October 2015. 
  3. ↑  George Boole. Encyclopædia Britannica (edisi ke-11). 1911. 
  4. 1 2 3 Hill, p. 149; Google Books.
  5. ↑ Rhees, Rush. (1954) "George Boole as Student and Teacher. By Some of His Friends and Pupils", Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences. Vol. 57. Royal Irish Academy
  6. 1 2 3 4 John J. O'Connor dan Edmund F. Robertson. George Boole di Arkib Sejarah Matematik MacTutor.
  7. ↑ Society for the History of Astronomy, Lincolnshire.
  8. ↑ Templat:ODNBweb
  9. 1 2 3 4 "George Boole" article by Stanley Burris in the Stanford Encyclopedia of Philosophy
  10. ↑ Hill, p. 172 note 2; Google Books.
  11. ↑ Hill, p. 130 note 1; Google Books.
  12. ↑ Hill, p. 148; Google Books.
  13. ↑ Ronald Calinger, Vita mathematica: historical research and integration with teaching (1996), p. 292; Google Books.
  14. ↑ Hill, p. 138 note 4; Google Books.
  15. ↑ "Keith Awards 1827-1890". Canmbridge Journals Online. Dicapai 29 November 2014. 
  16. ↑ Ivor Grattan-Guinness, Gérard Bornet, George Boole: Selected manuscripts on logic and its philosophy (1997), p. xiv; Google Books.
  17. ↑ Plak itu berbunyi: ‘Untuk ingatan George Boole, LLD, DCL, FRS, Cork, dalam perintah yang paling tinggi akal diusahakan oleh industri unwearied menghasilkan buah-buahan rendah diri dalam dan amanah seperti kanak-kanak. Beliau dilahirkan di Lincoln pada 2 November 1815 dan meninggal dunia di Ballintemple pada 8 Disember 1864. Untuk selama-lamanya Ya Tuhan kata-kata-MU tetap teguh di syurga.’ http://georgeboole.com/boole/life/ucc/death/
  18. ↑ Senarai memoir dan kertas Boole adalah dalam Catalogue of Scientific Memoirs diterbitkan oleh Royal Society, dan dalam jumlah tambahan itu pada persamaan pembezaan, disunting oleh Ishak Todhunter. Kepada Journal Cambridge Matematik dan penggantinya, Jurnal Matematik Cambridge dan Dublin, Boole menyumbang 22 artikel di dalam semua. Dalam siri ketiga dan keempat Philosophical Magazine terdapat 16 kertas. The Royal Society mencetak enam memoir dalam Philosophical Transactions, dan beberapa memoir yang lain boleh didapati di Transaksi daripada Royal Society of Edinburgh dan yang Royal Irish Academy, dalam Buletin de l'Académie de St-Pétersbourg untuk 1862 (di bawah nama G. Boldt itu, vol iv pp. .. 198-215), dan dalam Jurnal Crelle. Turut termasuk adalah kertas secara matematik logik, yang disiarkan dalam Mechanic's Magazine pada tahun 1848.
  19. ↑ Andrei Nikolaevich Kolmogorov, Adolf Pavlovich Yushkevich (editors), Mathematics of the 19th Century: function theory according to Chebyshev, ordinary differential equations, calculus of variations, theory of finite differences (1998), pp. 130–2; Google Books.
  20. ↑ Jeremy Gray, Karen Hunger Parshall, Episodes in the History of Modern Algebra (1800–1950) (2007), p. 66; Google Books.
  21. ↑ George Boole, The Mathematical Analysis of Logic, Being an Essay towards a Calculus of Deductive Reasoning (London, England: Macmillan, Barclay, & Macmillan, 1847).
  22. ↑ George Boole, A treatsie on differential equations (1859), Internet Archive.
  23. ↑ Boole, George (1857). "On the Comparison of Transcendents, with Certain Applications to the Theory of Definite Integrals". Philosophical Transactions of the Royal Society of London. 147: 745–803. doi:10.1098/rstl.1857.0037. JSTOR 108643. 
  24. 1 2 Cima, Joseph A.; Matheson, Alec; Ross, William T. (2005). "The Cauchy transform". Quadrature domains and their applications. Oper. Theory Adv. Appl. 156. Basel: Birkhäuser. m/s. 79–111. MR 2129737. 
  25. ↑ JOHN CORCORAN, Aristotle's Prior Analytics and Boole's Laws of Thought, History and Philosophy of Logic, vol. 24 (2003), pp. 261–288.
  26. ↑ Templat:ODNBweb
  27. 1 2 Witold Marciszewski (editor), Dictionary of Logic as Applied in the Study of Language (1981), pp. 194–5.
  28. ↑ Corcoran, John (2003). "Aristotle's Prior Analytics and Boole's Laws of Thought". History and Philosophy of Logic, 24: 261–288. Reviewed by Risto Vilkko. Bulletin of Symbolic Logic, 11(2005) 89–91. Also by Marcel Guillaume, Mathematical Reviews 2033867 (2004m:03006).
  29. ↑ George Boole. 1854/2003. The Laws of Thought, facsimile of 1854 edition, with an introduction by J. Corcoran. Buffalo: Prometheus Books (2003). Reviewed by James van Evra in Philosophy in Review.24 (2004) 167–169.
  30. 1 2 Andrei Nikolaevich Kolmogorov, Adolf Pavlovich Yushkevich, Mathematics of the 19th Century: mathematical logic, algebra, number theory, probability theory (2001), pp. 15 (note 15)–16; Google Books.
  31. ↑ "The Algebra of Logic Tradition" article by Stanley Burris in the Stanford Encyclopedia of Philosophy
  32. ↑ Boole, George (1854). An Investigation of the Laws of Thought. London: Walton & Maberly. m/s. 265–275. 
  33. ↑ P. J. Brown, Pascal from Basic, Addison-Wesley, 1982. ISBN 0-201-13789-5, page 72
  34. ↑ Boole Centre for Research in Informatics
  35. 1 2 Ivor Grattan-Guinness, Gérard Bornet, George Boole: Selected manuscripts on logic and its philosophy (1997), p. xlvi; Google Books.
  36. ↑ Chapter XVI, p. 167, section 6 of A treatise on probability, volume 4: "The central error in his system of probability arises out of his giving two inconsistent definitions of 'independence' (2) He first wins the reader's acquiescence by giving a perfectly correct definition: "Two events are said to be independent when the probability of either of them is unaffected by our expectation of the occurrence or failure of the other." (3) But a moment later he interprets the term in quite a different sense; for, according to Boole's second definition, we must regard the events as independent unless we are told either that they must concur or that they cannot concur. That is to say, they are independent unless we know for certain that there is, in fact, an invariable connection between them. "The simple events, x, y, z, will be said to be conditioned when they are not free to occur in every possible combination; in other words, when some compound event depending upon them is precluded from occurring. ... Simple unconditioned events are by definition independent." (1) In fact as long as xz is possible, x and z are independent. This is plainly inconsistent with Boole's first definition, with which he makes no attempt to reconcile it. The consequences of his employing the term independence in a double sense are far-reaching. For he uses a method of reduction which is only valid when the arguments to which it is applied are independent in the first sense, and assumes that it is valid if they are independent in second sense. While his theorems are true if all propositions or events involved are independent in the first sense, they are not true, as he supposes them to be, if the events are independent only in the second sense."
  37. ↑ http://zeteticgleanings.com/boole.html
  38. ↑ "That dissertation has since been hailed as one of the most significant master's theses of the 20th century. To all intents and purposes, its use of binary code and Boolean algebra paved the way for the digital circuitry that is crucial to the operation of modern computers and telecommunications equipment."Emerson, Andrew (8 March 2001). "Claude Shannon". United Kingdom: The Guardian. 
  39. ↑ 1902 Britannica article by Jevons; online text.
  40. ↑ James Gasser, A Boole Anthology: recent and classical studies in the logic of George Boole (2000), p. 5; Google Books.
  41. ↑ Gasser, p. 10; Google Books.
  42. ↑ Boole, George (1851). The Claims of Science, especially as founded in its relations to human nature; a lecture. Dicapai 4 March 2012. 
  43. ↑ Boole, George (1855). The Social Aspect of Intellectual Culture: an address delivered in the Cork Athenæum, May 29th, 1855 : at the soirée of the Cuvierian Society. George Purcell & Co. Dicapai 4 March 2012. 
  44. ↑ International Association for Semiotic Studies; International Council for Philosophy and Humanistic Studies; International Social Science Council (1995). "Sebuah kisah dua amatur". Semiotica, Volume 105. Mouton. m/s. 56. biografi Machale ini memerlukan George Boole 'perwujudan dewa agnostik. 'Klasifikasi' Kedua-dua Booles falsafah agama 'sebagai monistik, dualistik, dan trinitarian meninggalkan sedikit keraguan tentang pilihan mereka untuk 'agama perpaduan', sama ada Yahudi atau Unitarian.  |access-date= memerlukan |url= (bantuan)
  45. ↑ International Association for Semiotic Studies; International Council for Philosophy and Humanistic Studies; International Social Science Council (1996). Semiotica, Volume 105. Mouton. m/s. 17. MacHale does not repress this or other evidence of the Boole's nineteenth-century beliefs and practices in the paranormal and in religious mysticism. He even concedes that George Boole's many distinguished contributions to logic and mathematics may have been motivated by his distinctive religious beliefs as an "agnostic deist" and by an unusual personal sensitivity to the sufferings of other people.  |access-date= memerlukan |url= (bantuan)
  46. ↑ Boole, George. Studies in Logic and Probability. 2002. Courier Dover Publications. p. 201-202
  47. ↑ Concluding remarks of his treatise of "Clarke and Spinoza", as found in Boole, George (2007). An Investigation of the Laws of Thought. Cosimo, Inc. Chap . XIII. p. 217-218. (Original work published 1854)
  48. ↑ Boole, George (1851). The claims of science, especially as founded in its relations to human nature; a lecture, Volume 15. p. 24
  49. ↑ Jonardon Ganeri (2001), Indian Logic: a reader, Routledge, p. 7, ISBN 0-7007-1306-9; Google Books.
  50. 1 2 3 Boole, Mary Everest Indian Thought and Western Science in the Nineteenth Century, Boole, Mary Everest Collected Works eds. E. M. Cobham and E. S. Dummer, London, Daniel 1931 pp.947–967
  51. ↑ Grattan-Guinness and Bornet, p. 16; Google Books.
  52. ↑ `My Right To Die´, Woman Kills Self di The Washington Times v. 28 May 1908 (PDF); Mrs. Mary Hinton A Suicide in The New York Times v. 29 May 1908 (PDF).
  53. ↑ Smothers In Orchard di The Los Angeles Times v. 27 Februari 1909.