Practical Foundations Of Mathematics It is actually older joseph gergonne introduced C for contient and É for itsconverse in 1817, and these symbols were used by Peano and by Russell and http://www.cs.man.ac.uk/~pt/Practical_Foundations/html/s22.html
Extractions: Practical Foundations of Mathematics Paul Taylor These methods of construction were first set out as a basis of set theory by Ernst Zermelo in 1908. The subsequent work sought to formalise them in terms of a notion of membership in which any entity in the universe may serve either as an element or as a set, and where it is legitimate to ask of any two entities whether one bears this relation to the other. We shall make a distinction between elements and sets, though in such a formalism it is usual to refer to terms and types as we did in Section . We shall also modify what Zermelo did very slightly, taking the cartesian product XxY X Y cf Examples Our system conforms very closely to the way mathematical constructions have actually been formulated in the twentieth century. The claim that set theory provides the foundations of mathematics is only justified via an encoding of this system, and not directly. It is, or at least it should be, surprising that it took 60 years to arrive at an axiomatisation which is, after all, pretty much as Zermelo did it in the first place. V - 1pt. For a detailed account of the modern system and its history, see [
Gergonne-punt En -driehoek van een driehoek met de zijden, zijn concurrent. Hun snijpunt heet het puntvan gergonne van de driehoek (naar joseph gergonne, 17711859, Frankrijk). http://www.pandd.demon.nl/gergdrie.htm
De Punten Van Brocard Een ander bewijs van stelling 10, ook gevonden door gergonne (joseph gergonne,17711859, Frankrijk) en gepubliceerd in 1823, willen we hier niet onvermeld http://www.pandd.demon.nl/brocard.htm
Extractions: Voor de voetpuntsproducten en -driehoeken bewijzen we de volgende stellingen Stelling 1 De zijden van de voetpuntsdriehoek van P verhouden zich als de voetpuntsproducten van P. Stelling 2 De vier voetpuntsdriehoeken van één punt uit P, A, B, C tov. de driehoek met de andere punten als hoekpunten zijn gelijkvormig.
Mathematics & Philosophy Gaspar Monge (17461818), and joseph gergonne (1771-1859) were all instrumentalin the development of descriptive and perspective geometry. -Ed. http://acnet.pratt.edu/~arch543p/readings/mathematics_and_philosophy.html
Extractions: by Michel Serres from ed. Harari, Josue V. And David F. Bell, Hermes; Literature, Science, Philosophy. the Johns Hopkins University Press, Baltimore, 1982 Hieronymus informs us that he [Thales] measured the height of the pyramids by the shadow they cast, taking the observation at the hour when the length of our shadow equals our height. - Plutarch The text attributed to Hieronymus by Diogenes is supposedly one which tells of the Greek miracle, of the emergence of an abstract form and line of reasoning against the ground of an earlier practice or perception. How should we read this tale of an origin which eludes our attempts to classify it as reality or myth? Here are a few of its legends. The tale dramatizes the theorem of Thales. Two triangles: the first is constituted by the pyramid, its shadow and the first or last ray of light; the second by any object whose height is accessible, its shadow and a ray of light. The triangles are similar since their angles, one of which is 900, are equal. Hieronymus relates a particular case where the triangles are isoceles, Plutarch the general case where they are not. Let us assume, then, the existence of the pyramid and its shadow. In this schema the following elements are accessible: the black region which I can measure directly, the peg planted in the earth and its desolate shadow. Inaccessible, however, are the height of the tomb and that of the sun. As Auguste Comte says: "In light of previous experience we must acknowledge the impossibility of determining, by direct measurement, most of the heights and distances we should like to know. It is this general fact which makes the science of mathematics necessary. For in renouncing the hope, in almost every case, of measuring great heights or distances directly, the human mind has had to attempt to determine them indirectly, and it is thus that philosophers were led to invent mathematics."
El Punto De Gergonne Translate this page El punto de gergonne (joseph Diaz gergonne, 1771-1859) aparece al unir los vérticesde un triángulo con los puntos de tangencia de su circunferencia http://garciacapitan.auna.com/bella/htm/gergonne.htm
Philosophical Themes From CSL: Jean Victor Poncelet (17881867) and joseph gergonne (1771-1859) introduced theprinciple of duality, which allows theorems about lines and points to be http://myweb.tiscali.co.uk/cslphilos/geometry.htm
Extractions: Was there a Revolution in Geometry in the Nineteenth Century? Home Online Articles Links ... Recommend a Friend Introduction Arguing that were was a revolution in nineteenth century geometry, I naturally concentrate on the area of mathematics in which that revolution occurred. Therefore, after defining the term revolution, I only briefly summarise the non-revolutionary geometrical developments of the period. The revolutionary developments concern the origin of non-Euclidean geometry, and the history of this topic is traced in more detail. After explaining these developments and showing that they fit our definition of revolution, I go on to explain some of the repercussions of this revolution in other areas of mathematics, as well as in geometry itself. On the Definition of Revolution In general, the term revolution means, roughly, the overturning of the establishment or of the established system . Tailoring this to our subject matter, we might define a mathematical revolution as follows: the revision of assumptions which were previously deeply entrenched and were central to our understanding of an important branch of mathematics Non-Revolutionary Developments The most important of the non-revolutionary developments in nineteenth century geometry was the rebirth of projective geometry. Jean Victor Poncelet (1788-1867) and Joseph Gergonne (1771-1859) introduced
Extractions: About Charles Scribner's Sons ... Z A Abailard, Pierre Abano, Pietro Abano, Pietro d' 'Abbas Ibn Firnas Abbe, Cleveland Abbe, Ernst Abel, John Jacob Abel, Niels Henrik Abel, Othenio Abetti, Antonio Abich, Otto Hermann Wilhelm Abney, William de Wiveleslie Abraham Bar Hiyya Ha-Nasi Abraham, Max Abreu, Aleixo Abreu, Aleixo de Abu Hamid al-Gharnati Abu Kamil Shuja' Ibn Aslam Ibn Muhammad Ibn Shuja' Abu Ma'shar al-Balkhi, Ja'far Ibn Muhammad Abu'l-Barakat al-Baghdadi, Hibat Allah Abu'l-Fida' Isma'il Ibn 'Ali Ibn Mahmud Ibn . . . Ayyub, 'Imad al-Din Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad ~Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Accum, Friedrich Christian Achard, Franz Karl Acharius, Erik Achillini, Alessandro Acosta, Cristobal Acosta, Jose Acosta, Jose de Acyuta Pisarati Adam of Bodenstein Adams, Frank Dawson Adams, John Couch Adams, Leason Heberling Adams, Roger Adams, Walter Sydney Adanson, Michel Addison, Thomas Adelard of Bath Adet, Pierre-Auguste
63 Past Logic In the 19th century, joseph gergonne (French) analyzed these diagrams throughconcepts of coextension, inclusion, intersection and mutual exclusion. http://www.thelogician.net/2_future_logic/2_chapter_63.htm
Extractions: TheLogician.net FUTURE LOGIC CHAPTER 63. PAST LOGIC. The next few chapters, 63-67, contain material which is perhaps more of interest to academics (teachers and students of philosophy and logic, mainly), than to the ordinary reader. I would prefer the latter to skip this segment of the book and just go to the final chapter. The 'flavor' of Logic as it appears thus far, is I believe very clear and pleasant; one is also left with a practical tool. Those who read on, will experience a change of taste, as we enter into concerns and disputes, which fatigue the mind rather unnecessarily (at least, that was my experience). There can be too much of a good thing, as the saying goes. Nevertheless, it was of course a scholarly duty for me to write this segment, and of course theoreticians are well-advised to study it closely. It may be viewed as a philosophical commentary on all the preceding chapters. As well as re-evaluating the work of past logicians, it deals with broader issues, like metalogic, and induction from logical possibility. The smallness and the errors of many doctrines of modern logic are demonstrated. Historical logic is also touched upon here and there. Historical Judgment.
List Of Mathematicians Hilda Geiringer von Mises (18931973); Gerhard Gentzen (Germany, 1909 - 1945);joseph Diaz gergonne (France, 1771-1859); Sophie Germain (France, http://www.algebra.com/algebra/about/history/List-of-mathematicians.wikipedia
HISTORICAL joseph Geng MIA Carl gergonne G. Gesjetgm Nikola Getchoff joseph Gibbons PatrickGibson Maynard Gideon George Gieblich Andras Gilian KIA Jack Gillbank http://www.web.net/~macpap/volunteers.htm
Extractions: Many volunteers served under a pseudonym. Where we are aware of this we have used the volunteer's real name, but some names on this list may still reflect the use of a pseudonym or altered spelling. If you have information which appears to contradict any name on this list, we would like to know. Please see the contacts on the home page.
History Of Mathematics: Chronology Of Mathematicians 1836); Pasquale Galuppi (17701846); joseph Diez gergonne (1771-1859) *SB *MT;Li Rui (Shangzhi, Sixiang) (1773-1817); Robert Woodhouse (1773-1827) *MT http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Extractions: Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB
Jean-Victor Poncelet Jean-victor Metz France Des Studied See duality (physics), waveparticle duality. independently of joseph gergonne .On his repatriation to France, he resumed military engineering duties at http://www.economicexpert.com/a/Jean:V:Poncelet.htm
Extractions: var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... First Prev [ 1 Next Last Jean-Victor Poncelet July 1 December 22 ) was a mathematician and engineer who did much to revive projective geometry Born to a poor family in Metz France , Poncelet won a scholarship to the lycée and then the École Polytechnique where he studied under Gaspard Monge . In he entered the military engineering college at Metz. He was commissioned a lieutenant of engineers and served in Napoleon's invasion of Russia in . Abandoned as dead at the Battle of Krasnoy , he was imprisoned by the Russians at Saratov Saratov is a major city in southern European Russia. It is the capital of Saratov Oblast and a major port on the Volga river. The city was founded in 1590 as a fortress. Saratov became an important shipping port in the 1800s, and developed industrially af before being repatriated to France in Events January 14 Denmark cedes Norway to Sweden January 29 French army of Emperor Napoleon I wins the Battle of Brienne January 31 Gervasio Antonio de Posadas becomes Supreme Director of Argentina. February Congress of Chatillon see George Hamilton Gordo
Matematici D-L gergonne, joseph Diaz (Nancy, Francia, 19 giugno 1771 - Montpellier,Francia, 4 maggio 1859); Germain, Marie-Sophie (Parigi, Francia, http://encyclopedie-it.snyke.com/articles/matematici_d_l.html
ÉVARISTE GALOIS Translate this page Demostración de un teorema sobre fracciones continuas periódicas, y aparecióen Annales de mathématiques pures et appliquées, de joseph Diaz gergonne. http://thales.cica.es/rd/Recursos/rd97/Biografias/05-2-b-galois.html
Numéro 111, 5 Août 2003 Translate this page Dhombres, Jean, «joseph Diez gergonne, témoin et acteur dun changement de rôledes académies du XVIIIe au XIXe siècle», dans Jean-Claude Bonnefont (édit. http://mapageweb.umontreal.ca/melancon/biblio111.html
Extractions: , 13, 2003, p. 32 et suiv. Aiach, Benjamin le Magazine du bibliophile , 6, avril 2001, p. 8-11. ISSN : 1622-2539. Baczko, Bronislaw Baker, Malcolm The Burlington Magazine Bercegol, Fabienne , Paris, Fallois, 2002, 735 p. , Nancy, Presses universitaires de Nancy, 2003, p. 195-203. ISBN : 2-86480-717-3. Bonnefont, Jean-Claude , Nancy, Presses universitaires de Nancy, 2003, p. 255-285. ISBN : 2-86480-717-3. , Nancy, Presses universitaires de Nancy, 2003. ISBN : 2-86480-717-3. Brailovsky, Antonio Elio Cette maudite luxure Castonguay, Marie , Nancy, Presses universitaires de Nancy, 2003, p. 249-254. ISBN : 2-86480-717-3. Choudin, Lucien Coquio, Catherine , 103, 2, avril-juin 2003. , Nancy, Presses universitaires de Nancy, 2003, p. 241-246. ISBN : 2-86480-717-3. Cryle, Peter la Crise du plaisir, 1740-1830 , Presses universitaires du Septentrion, 2003, 225 p. Dagen, Jean , 103, 2, avril-juin 2003. Dainard, J. Alan , Nancy, Presses universitaires de Nancy, 2003, p. 111-119. ISBN : 2-86480-717-3. , Nancy, Presses universitaires de Nancy, 2003, p. 297-302. ISBN : 2-86480-717-3. Delon, Michel
Liste Alphabétique Des Mathématiciens Translate this page gergonne (joseph Diez), Français (1771-1859). Germain (Sophie), Française (1776-1831).Gibbs (Josiah Willard), Américain (1839-1903) http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm
Philosophy And Logicians - InfoAnarchy Wiki Translate this page Eugeniusz Gemina I Gemina II Gentz, Friedrich von Gentzen, Gerhard GeorgiosPachymeres Gerber, Gustav Gerbert von Aurillac gergonne, joseph D. Gerhards, http://www.infoanarchy.org/wiki/index.php/Philosophy_and_Logicians
Call-by-value Is Dual To Call-by-name 16 joseph Diaz gergonne (1826) Annales de mathématique pures et appliquées, 16209.17 Timothy G. Griffin, A formulaeas-type notion of control, http://portal.acm.org/citation.cfm?id=944723
HOTlink Internet : O Provedor Mais Próximo De Você Translate this page Ademais, outros postulados surgiram, sempre com o objetivo de substituir o deEuclides, como o de gergonne, matemático francês eo de joseph Bertrand, http://users.hotlink.com.br/marielli/matematica/histomatica/histogeo.html
