61. FOM: Transfinite Logic less' are not applicable to infinite, but only finite quantities. Also, a versionof Cantor's diagonal method was used by paul du boisreymond (circa 1875 http://www.cs.nyu.edu/pipermail/fom/2002-June/005647.html

FOM: Transfinite Logic William Calhoun wcalhoun@planetx.bloomu.edu Thu, 13 Jun 2002 12:45:39 -0400 (EDT) Previous message: FOM: Free logic Next message: FOM: Re; William Calhoun's most recent posting on the origin of ideas w.r.t. sizes of infinity Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] In the end, to quote the rock group Guns 'n Roses: "what we have here is a failure to communicate." This line appeared in the movie "Cool Hand Luke" years before Guns 'n Roses. The warden says it to Luke (Paul Newman) when he refuses to follow prison rules after repeated punishment. To bring this back to mathematics, consider the question Heck and Buckner raised of whether Cantor's ideas represent a "great conceptual leap." (This question is more interesting to me that all the discussion of "mysteries" arising from the fact that a thing can have more than one name.) Raymond wrote: > Yes, it's not a great conceptual leap now. I don't know enough about history to posit whether it was then or not. However, it's a conceptual

62. Mathematiker In Berlin (17.-20. Jahrhundert) Translate this page Abel Niels Henrik 1802-1829, Aronhold Siegfried 1819-1884, Bieberbach Ludwig 1886-1982,Bieberbach Ludwig 1886-1982, bois-reymond paul du 1831-1889, bois-reymond http://www.math.fu-berlin.de/~begehr/buch/mathematicians.html

Mathematiker in Berlin (17.-20. Jahrhundert) Ordnung: Geburtsjahr nach Jahrhunderten; dann alphabetisch nach Nachnamen. Mathematiker in Berlin - 17. Jahrhundert Leibniz Gottfried Wilhelm Leibniz Gottfried Wilhelm de Maupertuis Pierre Louis Moreau de Maupertuis Pierre Louis Moreau Mathematiker in Berlin - 18. Jahrhundert Crelle August Leopold Gauß Carl Friedrich Euler Leonhard Euler Leonhard von Humboldt Alexander Lagrange Joseph Louis Mendelssohn Moses Ohm Martin Steiner Jakob Steiner Jakob Steiner Jakob Mathematiker in Berlin - 19. Jahrhundert Abel Niels Henrik Aronhold Siegfried Bieberbach Ludwig Bieberbach Ludwig Bois-Reymond Paul du Bois-Reymond Paul du Borchardt Carl Wilhelm Brauer Alfred Bruns Heinrich Cantor Georg Christoffel Elwin Bruno Dirichlet Peter Gustav Lejeune Dirichlet Peter Gustav Lejeune Dirichlet Peter Gustav Lejeune Eisenstein Gotthold Friedrich Max Frobenius Ferdinand Georg Feigl Georg Frobenius Ferdinand Georg Fuchs Immanuel Lazarus Fuchs Immanuel Lazarus Gegenbauer Leopold Graßmann Hermann Günther Hamel Georg Karl Wilhelm Hauck Guido Hensel Kurt Hensel Kurt Hertzer Hugo Ottomar Hessenberg Gerhard Hessenberg Gerhard Hettner Hermann Georg Jacobi Carl Gustav Jacob Jacobi Carl Gustav Jacob Jacobsthal Ernst Jacobsthal Ernst Jahnke Paul Rudolf Eugen Jolles Stanislaus Knoblauch Johannes Knopp Konrad Koenigsberger Leo Kowalewski Sonja Kronecker Leopold Kronecker Leopold Kummer Ernst Eduard Lampe Karl Otto Emil Landau Edmund Levi Friedrich Wilhelm Mises Richard

63. Liste Historischer Mathematischer Dissertationen Von 1810 Bis 1933 Translate this page (Schur, Schmidt), 9.5.1925. 36, du bois-reymond, paul (1831-1889), H, Deaequilibrio fluidorum. (Kummer, Ohm), 26.3.1859. Legende H, =, Hochschullehrer. http://dochost.rz.hu-berlin.de/listen/histdisslist.php3?sec=D

64. Liste Historischer Mathematischer Dissertationen Von 1810 Bis 1933 Translate this page Erman, Weiß), 11.1.1831. 36, du bois-reymond, paul (1831-1889), H,De aequilibrio fluidorum. (Kummer, Ohm), 26.3.1859. 158, Dörge, Karl http://dochost.rz.hu-berlin.de/listen/histdisslist.php3?sec=D&onr=1

65. Geschichte Des Carl-Ludwig-Instituts Fuer Physiologie Der Uni Leipzig Translate this page Falkenstein Johann paul Freiherr von Falkenstein (1801 - 1882 und lernte dort dessenSchüler Hermann Helmholtz, Ernst Brücke, Emil du bois-reymond und Rudolf http://webmed.zmai.uni-leipzig.de/~cliphys/gesch.htm

Ordinarien der Physiologie (geb. 1801, Regierungszeit 1854 - 1873) Johann Paul Freiherr von Falkenstein Carl Ludwig Carl Ludwig (um 1880) Kymographion Isoliertes Froschherz Stromuhr Stand: Juni 1999

66. 451-KOWALEVSKI Translate this page En 1869 elle est à Heidelberg, où elle suit les cours de physique de Kirchoff,et, en mathématique, ceux de paul du bois-reymond et de Kœnigsberger. http://perso.wanadoo.fr/alta.mathematica/451-kowalevski.html

SOPHIE KOWALEVSKI Notice biographique de Mittag-Leffler (1892). 425 Euros En mai 1882, accompagnant Mittag-Leffler et sa femme en France, elle fit la connaissance de Commande - To order. 451 bis. Sophie KOWALEVSKY - Anna-Charlotte LEFFLER Les Souvenirs d'enfance de Sophie Kovalewsky sont traduits du "roman" russe paru sous le titre Les soeurs Rajewsky , et la Biographie de Sophie Kovalewsky 100 Euros nouveau catalogue : SCIENCE 5 to order, pour commander : AJASSE LIBRAIRIE ANCIENNE 62, rue Tramassac 69005 LYON, France e-mail: ajasse@ajasse.com Tel: ( or 0033 ) 478.379.967 Fax: ( or 0033 ) 472.400.632 Visitez notre site http://www.ajasse.com/ Antiquarian bookseller Membre du SLAM et de la LILA-ILAB

67. Science Timeline paul, 1960. Dover, Gabriel, 1982. Dounce, Alexander, 1952. draft oxen, 3000 bce.Drake, Frank D., 1959. Dreyer, William, 1965. Driesch, Hans, 1890. du boisreymond, http://www.sciencetimeline.net/siteindex_d.htm

use checkboxes to select items you wish to download Select Index Letter: a b c d ... w-x-y-z da Vinci, Leonardo, 1482 Daimler, Gottlieb, 1883 Dalibard, Jean, 1982 Dalton, John, 1801, 1801, 1803, 1808 Dam, Henrik, 1934 Danielli, James Frederick, 1935 Dart, Raymond Arthur, 1925 Darwin, Charles Robert, 435 bce, 1829, 1844, 1844, 1858, 1859, 1867, 1867, 1871, 1871, 1872, 1901 Darwin, Erasmus, 1794, 1809 Dausset, Jean, 1954 Davis, Mark, 1980 Davis, Ronald, 1973, 1980 Davisson, Clinton Joseph, 1927 Davson, Hugh, 1935 Davy, Humphrey, 1799, 1807, 1813, 1821 Dawkins, Richard, 1973, 1975 Dawson, John M., 1979 de Beer, Gavin, 1930, 1934, 1940 de Broglie, Louis Victor, 1924, 1926, 1927, 1927, 1952 de Herbert, Joseph, 1778 de la Mettrie, Julian, 1747

68. Medicine-Worldwide: Kurzportraets Translate this page Emil Heinrich du bois-reymond Entdeckte die Grundlagen der Elektrophysiologie, Physiologe,Mathematiker. paul Diepgen Einer der Begründer des Fachgebietes der http://www.m-ww.de/persoenlichkeiten/kurzportraets.html

Sie befinden sich hier: startseite persoenlichkeiten Medizingeschichte H istorisches zur Harnschau M eilensteine der Medizingeschichte ... Über uns Kurzporträts An dieser Stelle sind für User, die sich nur schnell und kurz informieren bzw. orientieren wollen, die wichtigsten Persoenlichkeiten tabellarisch dargestellt und erläutert. Springen zu Buchstabe: A B C D ... Z Name Kurzbeschreibung Beruf Alfred Adler: Augenarzt, Internist, Psychiater, Psychologe Arzt Philipp Ahrens: Philipp Ahrens hat als erster in Deutschland die Leukämie mit Röntgenstrahlen erfolgreich behandelt. Chirurg, Orthopäde Bela Alexander: B.A. ist der Vater der plastischen Röntgenaufnahme, und führte die Röntgentechnologie in Ungarn ein. Anatom, Röntgenologe, Röntgenwissenschaftler Abu Zakariya al-Razi: Der größte arabische Arzt des Mittelalters wird im muslimischen Raum ehrfürchtig der "arabische Hippokrates" genannt. Arzt, Philosoph, Autor Alois Alzheimer: Beschrieb als erster die Symptome der Alzheimerschen Krankheit als ein eigenes Krankheitsbild. Neurologe, Psychiater, Hirnpathologe Virginia Apgar: V.A. Sie führte den heutzutage weltweit benutzten Apgar Index ein, nach dem die Lebensfunktionen von Neugeborenen gestestet werden.

69. 1Up Info > Medicine, Biographies - Encyclopedia Drew, Charles Richard • du boisreymond, Emil • dubos dupuytren, Guillaume, Baron• du Vigneaud, Vincent Carew • Ehrlich, paul • Eijkman, Christiaan http://www.1upinfo.com/encyclopedia/categories/medbio.html

History People Places Wildlife, Animals, and Plants ... News Search 1Up Info ENCYCLOPEDIA Medicine, Biographies Articles Abbe, Robert Abel, John Jacob Abulcasis Addison, Thomas ... Zinsser, Hans Editor's Pick Cricket World Cup 2003 Atomic Bomb Colin Powell Cricket ... World War II Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. Home Contact Us Privacy Links Directory ©1Up Info

70. Blank Page Doisy, Edward Adelbert Dolphins Domagk, Gerhard Johannes paul Dominant Traits DiscoveryReceptor Binding Drugs and the Synapse du boisreymond, Emil Heinrich http://www.naturereference.com/els/2C_d.htm

More Information: Publishers Letter Features and Benefits Articles List Readership Subject Coverage Sample Material Site Map Articles List - D A B C D E F G H ... C D E F G H ... back to top

71. Suche Nach Personen Translate this page Bohr, Margrethe (1890-1984) Bohr, Niels (1885-1962) Bois, Henri du (1863-1918) bois-reymond,Emil du (1818-1896) bois-reymond, paul du (1831-1889) Boll, Marcel http://www.lrz-muenchen.de/~Sommerfeld/PersDat/B.html

Suche nach Personen A B C D ... Z B B., [Major] Ba Yin Baade, Walter (1893-1960) Babbage, Charles (1792-1871) ... Institutionen Ausgelesen am 29. Dezember 2002.

72. Personenregister Translate this page um 70 uZ, 1 Dirichlet, Gustav, 1805 - 1859, 1 du bois-reymond, Emil, 1818 1707 - 1783,1 Falckenberg, Günther, 1879 - 1963, 1 Falkenberg, paul, 1848 - 1925, 1 http://www.physik.uni-rostock.de/~mahnke/vergangenheit/2ndTry/node10.html

Abbildungen Titelseite Vorherige Seite: Literatur Inhalt Personenregister Aepinus , Franz Ulrich Theodor, 1724 - 1802, Anderson , Carl David, 1905 - ?, Aristoteles , 384 - 322 v.u.Z., Arndt , Ernst Albert, geb. 1927, Becher , Siegfried, 1884 - 1921, Becherer , Gerhard, geb. 1915, Berg , Lothar, geb. 1930, Bessel , Friedrich Wilhelm, 1784 - 1846, Blochmann , Max, 1858 - ?, , Helmut von, 1805 - 1862, Blumenbach , Johann Friedrich, 1752 - 1840, Braun , Maximilian, 1850 - ?, , Harald, 1911 - 1988, , Kurd von, 1899 - 1971, , Jost, 1552 - 1632, Cantor , Georg, 1845 - 1918, Chytraeus , Nathan, 1543 - 1598, De Brahe , Tycho, 1546 - 1601, Dieterici , Conrad, 1858 - 1929, Dioskurides , Pedanios, um 70 u.Z., Dirichlet , Gustav, 1805 - 1859, Du Bois-Reymond , Emil, 1818 - 1896, , Willy, 1887 - 1957, Ebeling , Werner, geb. 1936, Einstein , Albert, 1879 - 1955, Engel , Wolfgang, geb. 1928, Euclid , um 365 - 300 v.u.Z., Euler , Johann Albrecht 1734 - 1800, Euler , Leonhard, 1707 - 1783, Falckenberg Falkenberg , Paul, 1848 - 1925, Falkenhagen , Hans, 1895 - 1971, Faraday , Michael, 1791 - 1867, , Istvan, 1917 - 1988, , Heinrich Gustav, 1764 - 1835, Freud , Geza, 1922 - 1979, Frisch , Karl von, 1886 - 1982, , Christian, 1877 - 1959, Furch , Robert Otto, 1894 -1967, Geinitz , Eugen, 1854 - 1925, Goebel , Karl Eberhard, 1855 - 1932, Goette , Alexander, 1840 - 1922, Grenacher , Hermann, 1843 - 1923, Guttenberg , Hermann von, 1881 - 1969, Haupt , Otto, 1887 - 1988, Heinkel , Ernst, 1888 - 1958, Helmoltz , Hermann von, 1821 - 1894, Herbst , Hans Georg, 1920 - 1991

73. Journals paul Eling Neuroanniversaries 2000. S. Dierig Urbanization, Place of ExperimentAnd How the Electric Fish Was Caught by Emil du boisreymond. http://www.szp.swets.nl/szp/journals/jh091.htm

Journal of the History of the Neurosciences Volume 9 Number 1 2000 Paul Eling Neuroanniversaries 2000 S. Dierig Urbanization, Place of Experiment And How the Electric Fish Was Caught by Emil Du Bois-Reymond J.B. Lyons Extracts from John Hennen's Principles of Military Surgery Ann Jane Tierney Egas Moniz and the Origins of Psychosurgery: A Review Commemorating the 50th Anniversary of Moniz's Nobel Prize Edward G. Jones NEUROwords 8 Plasticity and Neuroplasticity Edward J. Fine Neurognostics: Question 9: An American Pathologist, Physiologist, Neurologist and Poet Paolo Liberini and PierFranco Spano From the Mind to the Brain: An Unusual Pathway Malcolm Macmillan Restoring Phineas Gage: A 150th Retrospective Diana P. Faber Making Distinctions: The Contribution of Hector Landouzy to Differential Diagnosis in Relation to Hysteria and Epilepsy Douglas J. Lanska George Huntington (1850-1916) and Hereditary Chorea Malcolm Macmillan Commemorating the 150th Anniversary of Phineas Gage's Accident Peter F. Bladin Historical Note: ``The Epileptic Constitution'': The Psychoanalytic Concept Of Epilepsy BOOK REVIEWS Neurognostics Question 9: Answer Stanley Finger NEWS AND NOTES Rare Neuroscience Books Donated

74. Www.math.niu.edu/~rusin/known-math/97/wavl The first steps toward an attempt to address functions with these characteristicswere taken by paul du boisreymond (1873) and Haar (1909), in whose studies http://www.math.niu.edu/~rusin/known-math/97/wavl

75. Antikvariat Karel Krenek Currently Listed History Of Culture, paul du bois-reymond aufgestellteDritte ignorabimus . Leipzig Teubner, 1889. 8°. 64 S. OBrosch. http://www.karelkrenek.com/catlisting.php?code=19+0+0+0

76. BIOGRAPHIES Emil du boisreymond (1818-1896) Emil du bois-reymond discovered action potentialwhen Pierre paul Broca (1824-1880) Broca studied damage to human brains. http://www.redeemer.on.ca/~psychist/previous/w1999/bio_psych/biographies.html

Important People in the History of Biopsychology Robert Whytt (1714-1766) Whytt distinguished between voluntary and involuntary movements. He did this by studying a frog's spinal reflexes. He found that it was possible to stimulate small portions of the spinal cord, producing automatic movements. Luigi Galvani (1737-1798) In 1780, Galvani began experiments on electricity. He discovered that nervous impulses were electrical. He found that frog legs twitched when they were electrically charged. After putting a frog leg between two different metals, the leg would twitch. This led to the discovery of th galvanic skin response (GSR), which is the change in the skin's electrical conductivity. We now know that this is because an electrical current is produced when a salt solution connects two different metals. Galvani also distinguished between sensory nerves, which bring information to the brain, and motor nerves, which bring information from the brain to the muscles. Rush (1746-1813) Rush is best known for theoretical and therapeutic innovations in psychiatry. Physical causes (brain, heredity, diet, etc) can affect exercise of moral faculty. He proposed terms "micronomia" and "anomia" for partial or weakened action and total absence of moral faculty. Braid (1795-1860) Braid linked hypnotic phenomena to brain physiology, developing a straightforward, less mystical induction technique, and introduced a terminology that was more acceptable to medical and scientific establishment. This helped prepare the way for eventual use of hypnosis in research on psychopathology. He explained the physical effects of hypnotism as being produced by peculiar conditions of the nervous system.

77. Rektoren / Präsidenten Der HU Seit 1810 Translate this page Mathematiker. Emil du bois-reymond, (1818 - 1896), 1869/70 1882/83, Physiologe. Jurist.Hugo Wilhelm paul Kleinert, (1837 - 1920), 1885/86, Theologe. http://www.hu-berlin.de/hu/geschichte/rektoren.html

Theodor Schmalz (designiert) Jurist Johann Gottlieb Fichte Philosoph Friedrich Karl von Savigny Jurist Karl Asmund Rudolphi Mediziner Karl Wilhelm Ferdinand Solger Philosoph Friedrich Ernst Daniel Schleiermacher Theologe und Philosoph Heinrich Friedrich Link Botaniker/ Biologe Philipp Konrad Marheineke Theologe Christian Samuel Weiss Mineraloge Jurist Hinrich Lichtenstein Zoologe Friedrich Wilken Historiker und Orientalist Friedrich von Raumer Johann Gottfried Hoffmann August Boeckh Philologe Moritz August von Bethmann-Hollweg Jurist Clemens August Karl Klenze Jurist Georg Wilhelm Friedrich Hegel Philosoph Gerhard Friedrich Abraham Strauss Theologe Henrik Steffens Religions- und Naturphilosoph Dietrich Wilhelm Heinrich Busch Mediziner August Wilhelm Heffter Jurist Physiologe August Detlef Christian Twesten Theologe Karl Friedrich Wilhelm Dieterici Statistiker und Staatswissenschaftler Karl Lachmann Philologe Justus Friedrich Karl Hecker Medizinhistoriker Friedrich Adolf Trendelenburg Philosoph Karl Immanuel Nitzsch Theologe Friedrich Julius Stahl Jurist Johann Franz Encke Astronom Eilhard Mitscherlich Chemiker Christian Gottfried Ehrenberg Zoologe Adolf August Friedrich Rudorff Jurist Heinrich Wilhelm Dove Physiker und Meteorologe Gustav Magnus Physiker und Chemiker Karl Georg Christph Beseler Jurist Isaak August Dorner Theologe Alexander Braun Botaniker Bernhard Rudolf Konrad von Langenbeck Mediziner Ernst Kummer Mathematiker Emil Du Bois-Reymond Physiologe Karl Georg Bruns Jurist Rudolf von Gneist Jurist Karl Weierstrass Mathematiker Theodor Mommsen Historiker

78. Famous Electrochemists Links to biographies of those who greatly contributed to electrochemistry and related fields, particularl Category Science Chemistry History...... Ernst Werner von Siemens, 18161892. Emil du bois-reymond, 1818-1896. James PrescottJoule, 1818-1889. Arthur Edwin Kennelly, 1861-1939. paul-LT Héroult, 1863-1914. http://chem.ch.huji.ac.il/~eugeniik/history/electrochemists.htm

HTTP 200 Document follows Date: Sat, 29 Mar 2003 15:09:23 GMT Server: NCSA/1.5.2 Last-modified: Tue, 25 Mar 2003 16:20:09 GMT Content-type: text/html Content-length: 63830 Famous Scientists greatly contributed to "electro" science: electricity, electromagnetism, electrical technology, electronics, electrical telegraphy, radio, electrochemistry, electromedicine, etc. This site has been optimized for 640 x 480 screen resolution. Some pages contain many images and could take a few munites to download. If you don't know what specifically you are looking for, I recommend you to use index pages with portraits and summaries of the scientists. Frequently Asked Questions about this site Virtual Museum of Old Electric, Electronic and Electrochemical Instruments Scientists born before 1751 index page with portraits and summaries William Gilbert Niccolo Cabeo Athanasius Kircher ... George Adams, Jr. Scientists born 1751-1800 index page with portraits and summaries Samuel Thomas Soemmering Giovanni Aldini Johann G. Friedrich Bohnenberger ... Joseph Saxton Scientists born 1801-1850 index page with portraits and summaries Carl August von Steinheil Auguste-Arthur de La Rive Moritz Hermann Jacobi ... Robert W. E. von Bunsen

79. Index C-E Constantede Legendre , Constantes de du bois-reymond; Constructible (nombre) voir http://www.sciences-en-ligne.com/momo/chronomath/base/index_ce.html

ChronoMath A-B F-J K-M N-R ... Ca (programmation) Ca (programmation) (programmation) Calcul de factorielle n (n!) (programmation) Calcul de la constante d'Euler Calcul des variations Calcul du logarithme de 2 selon Mercator (programmation) Calcul du nombre p (programmation) Calcul tensoriel Calippe (ou Callippe) Calotte sphérique ... Cassini (ovales de Cassini) Casteljau (Paul Faget de-) Castillon Catalan ... Cercle de courbure (cercle osculateur) , Cercle Cercle de Miquel Cercle de Monge (cercle orthoptique d'une conique à centre) Cercles de Villarceau ... h (roulette de Delauney) Champ de Galois Champollion Chasles Chazy ... Chevalley Chiffres : Islam Rome Chien (courbe du-) Chine ... Combinaison (analyse combinatoire) Commensurables (nombres) Commutatif voir aussi Cauchy (suite de-) Complexe (nombre) Composition des applications (loi de-) Condorcet voir aussi spirale conique Conforme (projection) Congruence Conique (projection de Lambert) Coniques Coniques (sections) Conjecture (sens du terme) ... Conjecture de Goldbach (programmation)

80. Zeittafel Thomas Huxley; 1896 du-Bois Reymond am 26. 1915 paul Ehrlich am 20. http://home.tiscalinet.ch/biografien/sources/zeittafel.htm

Timeline des Biografieprojekts Conrad Gessner 1565 Tod von Conrad Gessner William Harvey am 1. April 1578 in Folkestone (Grafschaft Kent) geboren Francesco Redi geboren (1626-1698) Antonie van Leeuwenhoek geboren (1632-1723) Robert Hooke am 18. Juli 1635 in Freshwater, Isle of Wight, geboren William Harvey stirbt am 3. Juni 1657 in Hampstead (Camden; England) Johann Jacob Scheuchzer Francesco Redi gestorben (1626-1698) Robert Hooke Georges-Louis Leclerc, Comte de Buffon geboren Charles Bonnet Antonie van Leeuwenhoek gestorben (1632-1723) Erasmus Darwin geboren 1733 Tod von Johann Jacob Scheuchzer Lamarck am 1. August 1744 in Bazentin-le-Petit (Picardie, Frankreich) geboren. Johann Wolfgang Goethe am 28. August 1749 in Frankfurt geboren. Samuel Friedrich Hahnemann Thomas Malthus geboren (1766-1834) Alexander von Humboldt am 14. September 1769 in Berlin geboren Georges Cuvier Etienne Geoffroy Saint-Hilaire wird geboren (1772-1844) 1778 Tod von am 1. August 1779 in Bohlsbach bei Offenburg geboren Georges-Louis Leclerc, Comte de Buffon gestorben Karl Ernst von Baer Charles Bonnet gestorben geboren (1801-1850) Erasmus Darwin gestorben (1731-1802) Richard Owen in Lancacter (England) am 20. Juli 1804 geboren.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 4     61-80 of 95    Back | 1  | 2  | 3  | 4  | 5  | Next 20