My MSAI/PhD advisor at the University of Pittsburgh: Bruce Buchanan
(b. July 7, 1940, St. Louis) (Ph.D. Philosophy, Michigan State University, 1966: "Logics of Scientific Discovery")

Buchanan's advisor: Gerald Massey
(b. Feb 11, 1934, Wauseon, Ohio)(Ph.D. Philosophy, Princeton University, 1964: "The Philosophy of Space ")

Massey's advisor: Carl Gustav Hempel
(b. Jan. 8, 1905, Oranienburg, Germany; d. 1997, Princeton, NJ)
(Philosophy, Berlin, 1934: "Beitrage zur logischen analyse des wahrscheinlichkeitsbegriffs")
(Hempel worked with Reichenbach until Reichenbach was forced to leave Germany in 1933; his final year at Erlangen was spent under the supervision of Wolfgang Kohler and Nicolai Hartmann.)

Henry Roy Brahana, Ph.D. Princeton University 1920, Dissertation: Systems of Circuits on Two-Dimensional Manifolds

Hempel's advisor: Hans Reichenbach
(b. Sept. 26,1891, Hamburg, Germany; d .April 9, 1953,Los Angeles, CA)
(Philosophy, Erlangen, 1915: "Der Begriff der Wahrscheinlichkeit fur die mathematische Darstellung der Wirklichkeit")

Oswald Veblen, Ph.D. The University of Chicago 1903, Dissertation: A System of Axioms for Geometry

Reichenbach's two advisors:

• Paul Hensel
  (Dr. phil., Albert-Ludwigs-Universitat Freiburg, 1885: "Uber die Beziehung des reinen Ich bei Fichte zur Einheit der Apperception bei Kant")
• Max Noether
  (b. September 24, 1844, Mannheim, Baden, Germany; d. December 13, 1921, Erlangen, Germany)
  (Dr. phil. Ruprecht-Karls-Universitat Heidelberg, 1868)
  Based on information from Hans Reichenbach's widow, I had previously listed the second advisor as Emmy Noether. I've recently learned that this did not match up with Reichenbach's dissertation's signature page, which has Max Noether's signature.

E. H. (Eliakim Hastings) Moore Ph.D. Yale University 1885, Dissertation: Extensions of Certain Theorems of Clifford and Cayley in the Geometry of n Dimensions

Noether's two advisors:

• Ludwig Otto Hesse
  (b. April 22, 1811, Kvnigsberg, Germany (now Kaliningrad, Russia); d. August 4, 1874, Munich, Germany)
  (Dr. phil. Universitat Kvnigsberg 1840)
• Gustav Robert Kirchhoff
  (b. March 12, 1824, Kvnigsberg, Prussia (now Kaliningrad, Russia); d. October 17, 1887, Berlin, Germany)
  (Dr. phil. Universitat Konigsberg 1847: "De criteriis quibus cognoscatur an aequatio quinti gradus irreductibilis algebraice resolvi posset / De parallaxi stellae Argelandriae")
  Kirchhoff's advisor was also Otto Hesse

H. A. (Hubert Anson) Newton, B.S. Yale University 1850

Hesse's advisor: Karl Gustav Jacob Jacobi
(b. December 10, 1804, Potsdam, Prussia; d. February 18, 1851, Berlin, Germany)
(Ph.D. Humboldt-Universitat zu Berlin, 1825: "Disquisitiones Analyticae de Fractionibus Simplicibus")

Michel Chasles , Ph.D. École Polytechnique 1814,  

Jacobi's advisor: Enno Heeren Dirksen
(Ph.D. Georg-August-Universitat Gottingen, 1820: "Historiae progressuum instrumentorum mensurae angulorum accuratiori interserventium inde a Tob. Meyeri temporibus ad umbratione non de artificio multiplicationis")

Simeon Denis Poisson, Ph.D.

His two advisors:

• Friedrich Anton Justus Thibaut
  (b. January 4, 1772, Hameln, Hanover; d. March 28, 1840, Heidelberg)
  (Dr. phil. Christian-Albrechts-Universitat zu Kiel, 1796: "De genuina iuris personarum et rerum indole, veroque huius divisionis pretio")
  (Advisor unknown)
• Johann Tobias Meyer d.J.
  (b. February 17, 1723, Marbach, Wurttemberg, Germany; d. February 20, 1762, Gottingen, Germany)
  (Ph.D. Georg-August-Universitat Gottingen, 1773: "Tetragonometriae specimen I")

Joseph Louis Lagrange, Ph.D.

Meyer's advisor: Abraham Gotthelf Kaestner
(b. Sept 27, 1719, Leipzig, Germany; d. June 20, 1800, in Gottingen, Germany)
(Ph.D. Universitat Leipzig, 1739: "Theoria radicum in aequationibus")

Leonhard Euler, Ph.D. Universität Basel 1726,  

Kaestner's advisor: Christian A. Hausen
(b. 1693, d. 1743)
(Dr. phil. Martin-Luther-Universitat Halle-Wittenberg 1713: "De corpore scissuris figurisque non cruetando ductu")

Johann Bernoulli, 1694

Jacob Bernoulli

Gottfried Wilhelm Leibniz, Dr. jur. Universität Altdorf 1666,

Erhard Weigel, Ph.D. Universität Leipzig 1650

  Georg Joachim von Leuchen Rheticus (Magister artium M.-Luther-Univ. Halle-Wittenberg, 1535) 

Johann Hoffmann (advisor unknown)

    Nicolaus Copernicus (Juris utriusque Doctor Uniweryet Jagiellonski/Universita di Bologna/Universita degli Studi di Ferrara/Universita di Padova, 1499) 

   Domenico Maria Novara da Ferrara (Universita di Firenze, 1483) 

Leonhard (Leonard Vitreatoris z Dobczyc) von DobschützMagister artium Uniwersytet Jagielloński 1489 (advisor unknown)

Bonifazius Erasmi, Magister artium Martin-Luther-Universität Halle-Wittenberg 1509

  Johannes Regiomontanus (Magister artium Universität Leipzig/Universität Wien, 1457) 

Luca Pacioli (advisor unknown)

Basilios Bessarion

Mystras 1436

   Heinrich von Langenstein (Magister artium, Theol. Dr. Université de Paris, 1363, 1375) 

advisor unknown

Demetrios Kydones,

Elissaeus Judaeus (advisor unknown)