61. James Joseph Sylvester Famous Quote, Quotes, Quotations, Proverbs - QuoteMountai famous quotes. Famous quote. Quotations, quotes, sayings, proverbs. Famous quotes. http://www.quotemountain.com/famous_quote_author/james_joseph_sylvester_famous_q

James Joseph Sylvester Famous Quote, Quotes, Quotations, Proverbs - QuoteMountain.com Home Authors Search Link To Us ... Sign Up James Joseph Sylvester Famous Quotes Famous Quotations, Quotes, Sayings, and Proverbs The quotes below are those from or by James Joseph Sylvester . Multiple pages will be listed as links at the bottom of the page for each page of quotes . You can also move quickly to the next quote source, James Joyce , or the previous quotable source, James J. Corbett . If you do not find the famous quote that you are looking for on these pages, search our dynamic quotations quotes sayings , and proverbs from the QuoteMountain Famous Quote Search Engine While you are at it, join our QuoteMountain daily Quote of the Day Mailing List . It is absolutely free and helps you get your day off to a great start with a famous quotes or saying delivered to your inbox each day. You can also find linking instructions to QuoteMountain . The following users have found the value of linking to QuoteMountain's famous quotes sayings , and proverbs and are enjoying thousands of inbound links.

62. Www.allmath.com/biosearch.php?QMeth=ID ID=30888 biografía1 Translate this page james joseph sylvester (1814 - 1897). Hacia 1893, Matemático británico que con Arturo Cayley fundó la teoría de invariantes algebraicos. http://www.allmath.com/biosearch.php?QMeth=ID&ID=30888

63. Genealogy Data Martin, Edward sylvester Birth 28 AUG 1858 Marble, Elk Twp, Clarion Co., Kingsley, james joseph Birth 2 AUG 1886 Marble, Elk Twp, Clarion Co., PA http://www.geocities.com/Heartland/Plains/8270/dat69.htm

Genealogy Data Back to Main Page Hansen, Gerald Gender: Male Family: Spouse: Martin, Donna Lou Birth : living Council Bluffs, Pottawattamie Co., Iowa Gender: Female Parents: Father: Martin, Donald Dionysus Mother: Bostedt, Mabel E Children: Hansen, Christine Birth : living Gender: Female Hansen, Michael Birth : living Gender: Male Hansen, Donald Derek Birth : living Gender: Male Hansen, Kimberly Birth : living Gender: Female Back to Main Page Codgill, Mr Gender: Male Family: Spouse: Sleeper, Sue Ann Birth : living Gender: Female Parents: Father: Sleeper, Everett Mother: Martin, Mona Mae Back to Main Page Seivers, Mr Gender: Male Family: Spouse: Sleeper, Mary Elaine Birth : living Gender: Female Parents: Father: Sleeper, Everett Mother: Martin, Mona Mae Back to Main Page Tangeman, Mt Gender: Male Family: Spouse: Sleeper, Nancy Jean Gender: Female Parents: Father: Sleeper, Everett Mother: Martin, Mona Mae Children: Tangeman, Steven Russell Gender: Male Tangeman, Adam Michael Gender: Male Back to Main Page Dreher, Donald E

64. Richmond, Rhode Island Tax Book, 1899 Ezekiel S. james, George S. james, George W. james, joseph james, sylvester james, Varnum james, William H. james, William R. Jarvis, joseph Jenks, http://www.ancestorinfo.com/richmond_ri_tax_book, 1899.htm

Ancestor Info. - Genealogy Database Preserving And Indexing Vintage Books, Documents and Photographs. Click here to search our entire site. Click here to browse our original, vintage photos, documents, etc... (Over 1,000 items, we might have an item for your genealogy research.) (Almost 100,000 people, many with biographies or photos.) HOME ORDER HERE NEWS LETTER ABOUT US ... SURNAME COLLAGES 1899 Richmond, Rhode Island Tax Book Richmond Tax Book and Town Treasurer's Report, 1899 . Some listings are for poll tax only, but others include all property owned. The table shows the value of each piece of property and the tax owed. We will copy all entries for any surname you are researching. Item # 10246 Price $4 per surname. To Order Click Here A-J Surnames K-Y Surnames Aldrich, Joseph S. Aldrich, Mary A. Aldrich, Mary L. Aldrich, Thomas J. Aldrich, William S. Allen, Samuel W. K. Allen, William R. American Fish Co. Andrew, Devillo E. Anthony, Mary E. Arnold, Alcey F. Davis, Daniel Davis, George F. Dawley, Amos J. Dawley, Amos J., Jr. Dawley, Benjamin G. Dawley, george L. Dawley, Warren Dean, Ned Dobbrow, August A. Dobbrow, Fred Dobbs, Sarah Donahue, Charles Donahue, Daniel W. Donovan, Jeremiah Dougherty, John Durfee, Elizabeth

65. Bulletin Of The American Mathematical Society Title james joseph sylvester Life and work in letters Raymond Clare Archibald, ``Unpublished letters of james joseph sylvester and other new http://www.ams.org/bull/2001-38-01/S0273-0979-00-00882-X/home.html

Journals Home Search Author Info Subscribe ... Help ISSN 1088-9485(e) ISSN 0273-0979(p) Previous issue Table of contents Next issue Articles in press ... All issues Book Review The AMS does not provide abstracts of book reviews. You may download the entire review from the links below. Retrieve article in: PDF DVI TeX PostScript Book Information Author(s): Karen Hunger Parshall. Title: James Joseph Sylvester: Life and work in letters Additional book information: Clarendon Press, Oxford, 1998, xviii + 321, $98.00, 0-1985-0391-1 References: Max Noether, ``James Joseph Sylvester'', Mathematische Annalen Raymond Clare Archibald, ``Unpublished letters of James Joseph Sylvester and other new information concerning his life and work'', Osiris Additional Information: Reviewer(s): Uta C. Merzbach Email: ucmerzbach@prodigy.net Review Information: Journal: Bull. Amer. Math. Soc. MSC (2000): Primary 01A55 PII: S 0273-0979(00)00882-X Posted: October 11, 2000

66. The History Of Matrices james joseph sylvester. james sylvester, Presidential Address to British Association, 1869. Mathematics is the music of reason. james sylvester http://www.ualr.edu/lasmoller/matrices.html

Did you know . . .? The history of matrices goes back to ancient times! But the term "matrix" was not applied to the concept until 1850. "Matrix" is the Latin word for womb, and it retains that sense in English. It can also mean more generally any place in which something is formed or produced. The orgins of mathematical matrices lie with the study of systems of simultaneous linear equations. An important Chinese text from between 300 BC and AD 200, Nine Chapters of the Mathematical Art Chiu Chang Suan Shu ), gives the first known example of the use of matrix methods to solve simultaneous equations. In the treatise's seventh chapter, "Too much and not enough," the concept of a determinant first appears, nearly two millennia before its supposed invention by the Japanese mathematician Seki Kowa in 1683 or his German contemporary Gottfried Leibnitz (who is also credited with the invention of differential calculus, separately from but simultaneously with Isaac Newton). More uses of matrix-like arrangements of numbers appear in chapter eight, "Methods of rectangular arrays," in which a method is given for solving simultaneous equations using a counting board that is mathematically identical to the modern matrix method of solution outlined by

67. University Of Delaware: LETTERS TO LUCY CLIFFORD Authors of the letters were WF Pollock, CT Newton, james Russell Lowell, james joseph sylvester, joseph Cotter Morison, J. Herbert Stack, E. Ray Lankester, http://www.lib.udel.edu/ud/spec/findaids/clifford.htm

Special Collections Department Letters to Lucy Clifford Manuscript Collection Number Accessioned : Purchase, July 1995. Extent : 8 items (.1 linear ft.) Content : Letters. Access : The collection is open for research. Processed : August 1995 by Anita A. Wellner; revised January 2002. for reference assistance email Special Collections or contact: Special Collections, University of Delaware Library Newark, Delaware 19717-5267 Table of Contents Biographical Note Scope and Contents Note Contents List Biographical Note The English children's writer, novelist, and dramatist Lucy Lane Clifford (Mrs. W. K. Clifford) was born in 1846. On April 7, 1875, Lucy Lane married mathematics professor and philosopher William Kingdon Clifford, whom she met while studying art in London. The Cliffords' home became a gathering place for distinguished literary and scientific persons of the day, including Charles Darwin, Herbret Spencer, John Tynall, Thomas Huxley, Henry James, Rudyard Kipling, James Russell Lowell, Oliver Wendell Holmes, Leslie Stephen, Violet Hunt, and George Eliot. After the death of William Clifford in 1879, the friendships that she developed with George Eliot, Henry James and others not only continued but flourished. George Eliot, who was one of several persons who contributed to a small Civil List pensin arranged to support Lucy Clifford and her two daughters, encouraged Clifford to find comfort in activities such as her writing.

68. Sy - New General Catalog Of Old Books & Authors 2001 Jun 19) Frederick Oakes sylvester (M 1869 1915) Verses p 1903 Prof, james joseph sylvester (M 1814 Sep 3 - 1897 Mar 13) John sylvester (see http://www.kingkong.demon.co.uk/ngcoba/sy.htm

New General Catalog of Old Books and Authors Author names starting with Sy Follow these links for explanations of the of this catalog, its condition of use , the dates , the general abbreviations , the language abbreviations , the nationality abbreviations electronic library codes used, and for advice on buying or borrowing selling or valuing old books. If you have any corrections, additions or other suggestions, please send them to webmaster@kingkong.demon.co.uk The Singing SYBIL (see: Metta Victoria VI EL ISABETH, of Romania) Vernon SYLVAINE (M: 1897 Aug 9 - 1957 Nov 22) Richard SYLVAN (see: Richard RO UTLEY) Pope, SYLVESTER, II (see: GE LA HA AS HTON-WARNER) SYLVIA of Hollywood (see: Sylvia UL SC SE AMAN) SYLVIUS (see: Edmond (Auguste) TE nee H q q I ... WE BB) SYNED (see: Denys LE FEBVRE) Don SYNGE (see: Hyman ED ELSTEIN) Prof, John Lighton SYNGE (M: 1897 Mar 23 - 1995 Mar 20) (Edmund) John Millington SYNGE (M: 1871 Apr 16 - 1909 Mar 24) The Aran Islands [1907] I I CO MBE) Marinda SYPE, nee A Return to the New General Catalog of Old Books and Authors (NGCOBA) page. Return to the kingkong home page.

69. James Joseph Sylvester Translate this page james joseph sylvester nasceu no dia 3 de setembro de 1814 em Londres, Inglaterra. Morreu no dia 15 de março de 1897 também em Londres. http://paginas.terra.com.br/educacao/calculu/Historia/sylvester.htm

James Joseph Sylvester M matriz Arthur Cayley (1821 + 74 = 1895), com o qual desenvolveu a das matrizes E A De Morgan

70. Encyclopédies MacTutor Stanford Encycl. Philo. Etats-Unis 1814 1897 Translate this page Nom, sylvester, james joseph. Pays, Naissance, Mort. Encyclopédies, MacTutor, Stanford Encycl. Philo. Etats-Unis, 1814, 1897. http://thamous.univ-rennes1.fr/public/public_form_ref.php?id_ref=292&table=tpers

71. Lexikon James Joseph Sylvester james joseph sylvester aus der freien Enzyklopädie Wikipedia und steht unter der GNU Lizenz. http://lexikon.freenet.de/James_Joseph_Sylvester

E-Mail Mitglieder Community Suche ... Hilfe document.write(''); im Web in freenet.de in Shopping Branchen Lexikon Artikel nach Themen alphabetischer Index Artikel in Kategorien Weitere Themen Doris gegen Angie: Neue Attacke im Krieg ums Kanzleramt Sex mit 50 Cent: Islands Frauen stehen Schlange Die Zukunft von Filesharing: Das kommt auf Sie zu Neuer Alfa im Test: Herrlich b¶se und aufregend maskulin ... "Mensch ¤rgere dich nicht:" Jetzt gratis mitspielen! Sie sind hier: Startseite Lexikon James Joseph Sylvester James Joseph Sylvester James Joseph Sylvester 3. September in London 15. M¤rz in London) war ein englischer Mathematiker Sylvester studierte ab 1833 in Cambridge, wurde 1837 Professor der Physik am University College London und 1840 Professor der Mathematik an der Universit¤t von Virginia. In dieser Funktion arbeitete er ab 1855 an der Milit¤rakademie in Woolwich, 1870 an der Johns Hopkins University in Baltimore und 1883 in Oxford. Er erfand mehrere geometrische Instrumente, wie den Plagiographen (Schiefantograph), den geometrischen F¤cher usw. Ferner forschte er zusammen mit Arthur Cayley auf dem Gebiet der Invariantentheorie . Ein weiteres Arbeitsgebiet war die Theorie von Matrizen und Determinanten . Die Bezeichnung " Matrix " wurde 1850 von Sylvester eingef¼hrt.

72. Earliest Known Uses Of Some Of The Words Of Mathematics (U) The term UNIVERSAL ALGEBRA was first used by james joseph sylvester (18141897) for the theory of matrix algebras in a paper, Lectures on the Principles of http://members.aol.com/jeff570/u.html

Earliest Known Uses of Some of the Words of Mathematics (U) Last revision: June 21, 2004 The term ULTRAMETRIC was coined in 1944 by M. Krasner, according to an Internet web page. The terms UMBRAL CALCULUS and UMBRAL NOTATION were coined by James Joseph Sylvester (1814-1897). UNBIASED. See biased and estimation. The term UNCONDITIONAL CONVERGENCE (of a continued fraction) was coined by Alfred Pringsheim (1850-1941). UNDECAGON. Earlier terms for an 11-sided polygon, hendecagon and endecagon, are found in English in 1704 in Lexicon technicum, or an universal English dictionary of arts and sciences, by John Harris (OED2). Undecagon is found in English in 1728 in Chambers' Cyclopedia. UNDECIDABLE (On Formally Undecidable Propositions in Principia Mathematica and Related Systems). UNGULA appears in 1710 in Lexicon technicum, or an universal English dictionary of arts and sciences, by John Harris: " Ungula, in Geometry, is the Section of a Cylinder cut off by a Plane, which passes obliquely thro' the Plane of the Basse, and part of the Cylindric Surface" (OED2). UNIFORM or RECTANGULAR DISTRIBUTION.

73. Genealogy Data Father Quilter, james joseph Mother Benton, Helen. Family. Marriage 1918 in Gundagai Nsw Spouse. Cunningham, Edward sylvester Birth 1884 Goulburn Nsw http://members.ozemail.com.au/~joanod/dat6.html

Genealogy Data Back to Main Page Flanagan, Eliza Family: Spouse: Kennedy, John Children: Kennedy, Catherine Back to Main Page O'Haiher, Leslie Francis Family: Spouse: Cunningham, Grace Angela Birth : 1893 Goulburn Nsw Death : 1936 Randwick Nsw Parents: Father: Cunningham, Mathew Mother: Barry, Mary Anne Back to Main Page Veitch, Frederick Leslie Family: Spouse: Cunningham, Irene Grace Birth : 1895 Taralga Nsw Parents: Father: Cunningham, Mathew Mother: Barry, Mary Anne Back to Main Page Ryan, James Redmond Family: Marriage: 31 Jan 1927 in Goulburn Nsw Spouse: Cunningham, Kathleen Eva Birth : 13 Jul 1901 Death : 20 Mar 1984 Lismore Nsw Parents: Father: Cunningham, Mathew Mother: Barry, Mary Anne Back to Main Page Sloane, Joseph Cecil Family: Marriage: 26 Jan 1931 in Orange Nsw Spouse: Cunningham, Vera Pauline Birth : 21 Nov 1902 Goulburn Nsw Death : 12 Feb 1977 Orange Nsw Parents: Father: Cunningham, Mathew Mother: Barry, Mary Anne Back to Main Page Thompson, Irene Sylvia Family: Marriage: 27 Jun 1942 in Ss Peter And Paul's Cathedral, Goulburn Nsw

74. Math Forum: People (Chameleon Graphing: Plane History) james joseph sylvester. james joseph sylvester was born on September 3, 1814 in London, England. He took third place in the mathematical tripos examination http://mathforum.org/cgraph/history/people.html

Plane History Chameleon Home Ask Dr. Math Chameleon Home ... For Adults People Maria Gaetana Agnesi Apollonius of Perga Aristotle Christopher Columbus ... James Joseph Sylvester Maria Gaetana Agnesi Maria Gaetana Agnesi was born in the city of Milan on May 16, 1718. (Today Milan is part of Italy.) Agnesi was the oldest of twenty-one children. As a child she studied Latin and mathematics. Later she wrote a calculus textbook in Italian that included a curve now called the Witch of Agnesi . After her father died in 1752, Agnesi started a home for old and sick women. She spent all of her time and money working there. Agnesi died in Milan on January 9, 1799. Apollonius of Perga Apollonius was born in Perga around 262 BC. (Perga was a Greek city in what is now Turkey.) As a young man, Apollonius traveled to the great library at Alexandria. He also visited the city of Pergamum, which had another important library. Apollonius studied astronomy and geometry. He wrote several books, including the Conics. Apollonius died in Alexandria around 190 BC. Back to Top Aristotle Aristotle was born in 384 BC in the city of Stagirus in northern Greece. When he was seventeen, Aristotle traveled to Athens to study at the Academy run by the philosopher Plato. Later Aristotle became the tutor of Alexander the Great. Later Alexander helped Aristotle found his own school. Aristotle wrote books on astronomy, physics, geology, and other types of science, as well as politics and logic. Though he was not as interested in mathematics, many of his students were. Aristotle died in 322 BC in the Greek city of Chalcis, where his mother had been born.

75. The Political Graveyard: Index To Politicians: Sword To Szyperski sylvester, james — of Detroit, Wayne County, Mich. Democrat. Candidate in primary for Szumoski, joseph — of Hayward, Sawyer County, Wis. Democrat. http://politicalgraveyard.com/bio/sword-szymczak.html

Questions? Return to The Political Graveyard main page Index to Politicians: Sword to Szyperski Sword, Charles G. Los Angeles County , Calif. Mayor of Whittier, Calif. , 1953-54. Still living as of 1954. Sword, Evelyn Robinson Evelyn R. Sword McDowell County , W.Va. Republican. Candidate for West Virginia state house of delegates from McDowell County, 1950, 1956. Female . Still living as of 1956. Sword, John W. Pike County , Ohio. Republican. Delegate to Republican National Convention from Ohio, . Still living as of 1960. SWORDS: See also Doris Swords Poppler Swore, Rudolph L. Douglas County , Minn. Republican. Delegate to Republican National Convention from Minnesota, . Still living as of 1948. SY: See also Sy Cohen Sy, Levin G. . Still living as of 2000. Sybert, Rich U.S. Representative from California 24th District, 1994, 1996. Still living as of 1996. Sybesma, Abel March 28, 1901 . Prohibition candidate for Presidential Elector for Michigan, . Died in Holland, Allegan County , Mich., October 2, 1996 Burial location unknown Sycafoose, Francis N. Webster County , W.Va. Member of

76. Pioneer Date Summary - Heritage Gateways Included in the first ten led by Isaac Haight were were joseph G. Baxter, Isaac james, Jane E. james, Silas james, sylvester james, Ruth Martin, http://heritage.uen.org/resources/Wc8a49e4f0b2c.htm

Pioneer Date Summary Previous Next 06/17/1847 - Crockett Date: June 17, 1847 On the Oregon Trail, Wyoming: Thomas Bullock observed: "The mosquitoes have been very plaguy the past night; they are more numerous there than any other place on our route." The last of the pioneer wagons were ferried over by 2 p.m. All the wagons were once again moved into a circle. Phinehas Young's wagon was the exception. It did not return from the mountains until the evening. The ferry operation continue all night and by daylight the last of the Missouri companies had been ferried over. Elkhorn River, Nebraska: Charles C. Rich sent a note back to John Scott at Winter Quarters ordering him to send the cannon "as the whole camp is waiting." He also wrote to Alpheus Cutler, the presiding member of the High Council, requesting that he help Brother Scott in sending the cannon, boat, and Nauvoo temple bell. Ira Eldredge's fifty, part of the Daniel Spencer Company officially started their pioneer trek, leaving the Elkhorn River. The Eldredge fifty consisted of 76 wagons and 177 people. The captains of tens were Isaac Haight, Hector Haight, Samuel Ensign, Erastus Bingham, and George Boyes.

77. E. J. Ourso College Of Business Edwin joseph Coons Jr. Louis Lester Eames George Warnie Foshee james David Fountain Edward Emile Robert sylvester james Schloegel Robert E. Schluter http://www.bus.lsu.edu/alumni/news/lostalumni1950.asp

Dean's Office About Us Calendar College A-Z ... Giving Who Am I? : Prospective Student Current Student Alumni Business Community ... Research LOST ALUMNI Unfortunately from time to time we lose contact with members of our alumni family. Below are BS and MS alumni for whom we do not have a valid home address. If you have any information as to how to locate these alumni, please contact the Alumni Director. If you find yourself on this list, please send us an e-mail and complete our alumni update form: http://www.bus.lsu.edu/alumni/update.asp Class of 1950 Thomas Loyal Bate Robert Nugent Bellinger William Fredrick Burbank Jr. Bernard Yuo Butler Gilbert Roger Bythewood William Humble Conyers Glenn H. Delouche James Cason Fortner J. D. Ganey Celimen Ismael Gonzalez Frank Thomas Harkness Jr. Raymond Thomas Harris Marshall Brewster Heffner Lois Aileen Hyatt James Bryant Ingram Richard Taylor Jones Robert Bruce Jones Frank Lee Jr.

78. The Buy Australian Book Store, In the folklore of mathematics, james joseph sylvester (18141897) is the eccentric, hot-tempered, 19th-century mathematician. This volume uses 140 letters http://books.buyaustralian.com/PopCat.asp?storeurl=buyaustralian&PageNo=137&catm

79. Black Issues In Higher Education: BORN TO BE A Physicist - Sylvester James Gates Full text of the article, BORN TO BE A Physicist sylvester james Gates, Jr from Black William D. Linch and joseph Phillips, to seek his advisement. http://www.findarticles.com/p/articles/mi_m0DXK/is_15_18/ai_79126066

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles Black Issues in Higher Education Sept 13, 2001 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Related Searches Physicists / Education African American scientists / Education Maryland, University of / Officials and employees Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports BORN TO BE A Physicist - Sylvester James Gates, Jr Black Issues in Higher Education Sept 13, 2001 by Robin V. Smiles Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. DR. SYLVESTER JAMES GATES JR. IS KNOWN TO BE ENTHUSIASTIC ABOUT SUPERSTRING THEORY AND SUPERSYMMETRY, BUT ANOTHER PASSION HAS HIM SPEAKING OUT HIS COMMITMENT TO EDUCATION. You have to be a brave person to persevere in a field like theoretical physics. It requires a command of both science and mathematics. The work is often faddish and fast-paced, and the prospects of getting a job are few. But you also have to be a brave person to step in as the primary parent and take precocious 8-year-old twins along with you on a yearlong sabbatical to do research at one of the top research institutions in the United States. Or maybe it is not courage that you need, but a defined self-assuredness, a keen sense of humility, and a pronounced dedication to the principles of family and community. Then again, perhaps, you just have to be Dr. Sylvester James Gates Jr., the first John S. Toll professor of physics at the University of Maryland College Park.

80. SYLVESTER, J. J. - LoveToKnow Article On SYLVESTER, J. J. sylvester, james joseph (1814189.7), English mathe-m^tician, was born in London on the 3rd of September 1814. He went to school first at Highgate and then http://41.1911encyclopedia.org/S/SY/SYLVESTER_J_J_.htm

SYLVESTER, J. J. SYLPHSYLVANITE Hypothetical and Disjunctive Syllogisms.The term syllogism has been extended to cover certain forms of ratiocination which are not based on categorical propositions. The propriety of this extended use is open to question and is denied by some logicians. a. Hypothetical " Syllogisms " are those in which one premise is a hypothetical proposition, the other a categorical. Two forms are possible (i.) modus ponens (which establishes the consequent set clown in the major premise): if A is B, it is C (or C is D); A is B; therefore A is C (or C is D), and (ii.) modus tottens (which disproves the antecedent): if A is B, it is C (or C is D); A is not C (or C is not D); therefore it is not B (or A is not B). In (i.) a valid conclusion follows from the affirmation of the antecedent: in (ii.) from denying the consequent, but in neither case conversely. The distinction is of greater importance than would appear when one realizes how obvious the facts really are, and in practice it happens frequently that speakers claim with success to disprove a proposition by disproving the fact alleged in support of it, or to establish a hypothesis by showing that facts agree with its consequences. b. Disjunctive " Syllogisms " are those in which one premise is a disjunctive proposition, the other a categorical proposition which states or denies one of the two alternatives set forth. Again two forms occur: (i.) modus ponendo tcllens which by the affirmation of one alternative denies the other (A is either B or C; A is B; therefore it is not C: or either A is B, or C is D; A is B; therefore C is not D: or either A or B is C; A is C; therefore B is not C); (ii.) modus tollendo ponens which by the denial of the one, establishes the validity of the other alternative (A is either B or C; A is not B; therefore it is C : or either A or B is C; A is not C; therefore B is C: or either A is B, or C is D; A is not B; therefore C is D). The validity of such arguments depends upon the sense in which we understand the disjunctive proposition: we must assume that the alternatives are mutually exclusive.1

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