Haym Hirsh
(b. 1963, Hollywood, CA)
Ph.D. Computer Science, Stanford University, 1989: "Incremental Version Space Merging: A General Framework for Concept Learning"
Advisor: Bruce Buchanan
Bruce Gardner Buchanan
(b. July 7, 1940, St. Louis)
Ph.D. Philosophy, Michigan State University, 1966: "Logics of Scientific Discovery"
Advisor: Gerald Massey
Gerald J. Massey
(b. Feb 11, 1934, Wauseon, Ohio)
Ph.D. Philosophy, Princeton University, 1964: "The Philosophy of Space"
Advisor: Carl Hempel
The Mathematics Genealogy Project lists
Alonzo Church also as an advisor, but Massey's personal biography
notes that Hempel was his advisor and Church was first reader of his
dissertation. When I gave an after-dinner talk on Bruce Buchanan's
genealogy at a festschrift in his honor that Massey attended I
listed solely Hempel as his advisor, and Massey raised no objections
(as opposed to what happened when I turned to Hempel's advisor - see
below).
Carl Gustav
Hempel
(b. Jan. 8, 1905, Oranienburg, Germany; d. November 9, 1997, Princeton,
NJ)
Ph.D. Philosophy, Berlin, 1934: "Beitrage zur logischen analyse des
wahrscheinlichkeitsbegriffs"
Advisor: Hans Reichenbach
The Mathematics Genealogy Project lists
Hans Reichenbach as Hempel's dissertation advisor, and early gestalt
psychologist Wolfgang Köhler as "Advisor 2". As Hempel explained in
the section "Memoirs" in his Selected Philosophical Essays:
"After my return from Vienna, I began to work on my doctoral
dissertation, which dealt with the statistical concept of probability.
Reichenbach agreed to be my thesis advisor (Doktorvater), and I
began work with him. But in 1933 he was relieved of his position in
Berlin because of his Jewish ancestry. ... Reichenbach's dismissal
made it necessary for me to seek new sponsors and examiners for my
dissertation project; I am grateful to Wolfgang Köhler, with whom I
had done course work, and to Nicolai Hartmann, who did not know me at
all, for having agreed to take on that role. I completed my
dissertation on problems of the frequentist conception of probability
on my own." So (1) much of the dissertation work was done during
Reichenbach's time as advisor, (2) it is Köhler's signature on the
dissertation, and (3) Hempel says he did it largely on his own. For
that matter, along the way Hempel also studied mathematics with David
Hilbert, logic with John von Neumann, physics with Max Planck, and
spent time with Rudolph Carnap and others in the Vienna Circle. At my
previously mentioned dinner talk for Bruce Buchanan, I referred to
Reichenbach as Hempel's advisor, but Gerald Massey was unhappy that I
did not acknowledge Köhler as advisor. I still think my decision was
consistent with the spirit of "advisor", and I've similarly chosen to
move ahead with Reichenbach as advisor in what follows.
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"
Advisors: Paul Hensesl, Max Noether
When I first started researching this academic genealogy I entered
into a correspondence with Hans Reichenbach's widow, Maria, who died
at age 104 and outlived her husband by more than 60 years. She told
me that Reichenbach's advisors were Paul Hensel and Emmy
Noether, Max Noether's daughter, and as a result I had previously
listed her as co-advisor. However, I was later sent a copy of the
signature page by a European academic whose name I've sadly misplaced,
and the dissertation is signed by Max Noether. You can also
find copies
online that list "Referent: Professor Hensel" and "Koreferent:
Professor Noether". The latter must refer to Max Noether, since his
daughter, being female, did not have a full-fledged academic position
at Erlangen. It might very well have been that Emmy Noether was de
facto the advisor but Max was nominally the one who signed on her
behalf. Nonetheless, I am using Max Noether as co-advisor here in the
absence of hard evidence to the contrary. If that name should more
accurately be Emmy Noether, it would require only a minor tweak to
this genealogy: instead of Max's two advisors I would list Emmy's
advisor Paul Gordan, and then to the same "grand-advisor" as Max
Noether, Carl Gustav Jacob Jacobi.
Reichenbach advisor 1
Paul Hensel
(b. 17 May 1860, Groß-Barthen, Germany; d.11 November 1930, Erlangen, Germany)
Dr. phil., Albert-Ludwigs-Universitat Freiburg, 1885:
"Uber die Beziehung des reinen Ich bei Fichte zur Einheit der
Apperception bei Kant"
Advisor: Alois Riehl
Alois Riehl
(b. 27 April 1844, Bozen, Austria; d. 21 November 1924, Neubabelsberg, Germany)
Dr. phil. Universität Innsbruck 1868
Advisor: unknown
This is one of the current dead ends in the genealogy. I'd love to hear from anyone who knows more about Riehl's academic genealogy.
Reichenbach advisor 2
Max Noether
(b. September 24, 1844, Mannheim, Baden, Germany; d. December 13,
1921, Erlangen, Germany)
Dr. phil. Ruprecht-Karls-Universitat Heidelberg, 1868
Advisors: Ludwig Otto Hesse, Gustav Robert Kirchoff
Not only was Hesse co-advisor, he was
also the other co-advisor's (Kirchoff's) advisor, so the two lines quickly converge below.
Noether advisor 1
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"
Advisor: Ludwig Otto Hesse
Ludwig Otto Hesse
See next entry.
Noether advisor 2
Ludwig
Otto Hesse
(b. April 22, 1811, Kvnigsberg, Germany (now Kaliningrad, Russia);
d. August 4, 1874, Munich, Germany)
Dr. phil. Universitat Kvnigsberg 1840: "De octo punctis
intersectionis trium superficium secundi ordinis"
Advisor: Carl Gustav Jacob Jacobi
Carl 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"
Advisor: Enno Heeren Dirksen
Until conducting this research I had not realized that Jacobi was the
first Jewish mathematician appointed to a professorship at a German
university, which I find sadly ironic given that his academic
descendant Reichenbach lost his professorship due to having Jewish
ancestry a century later.
Enno Heeren Dirksen
(b. January 3 1788, Eilsum, Ostfriesland; d. July 16 1850, Paris)
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"
Advisors: Friedrich Anton Justus Thibaut, Johann Tobias Mayer
Both Thibaut and Mayer had Abraham Gotthelf Kaestner and Christoph Lichtenberg as co-advisors, where Kaestner was furthermore Lichtenberg's advisor.
Dirksen advisor 1
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"
Advisors: Abraham Gotthelf Kaestner and Georg Christoph Lichtenberg
Thibaut advisor 1
Georg Christoph Lichtenberg
See below.
Thibaut advisor 2
Abraham Gotthelf Kaestner
See below.
Dirksen advisor 2
Johann Tobias Mayer
(b. February 17, 1723, Marbach, Wurttemberg, Germany; d. February 20, 1762, Gottingen, Germany)
Ph.D. Georg-August-Universitat Gottingen, 1773: "Tetragonometriae specimen I"
Advisor: Abraham Gotthelf Kaestner
Mayer advisor 1
Georg Christoph Lichtenberg
Dr. phil. Georg-August-Universität Göttingen 1765
Advisor: Abraham Gotthelf Kaestner
Abraham Gotthelf Kaestner
See next entry.
Mayer advisor 2
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"
Advisor: Christian August Hausen
Christian August Hausen
(b. 1693, d. 1743)
Dr. phil. Martin-Luther-Universitat Halle-Wittenberg 1713: "De
corpore scissuris figurisque non cruetando ductu"
Advisors: Johann Andreas Planer and Johann Christoph Wichmannshausen
Hausen advisor 1
Johann Andreas Planer
Medicinae Dr. Eberhard-Karls-Universität Tübingen, 1709: "Disputatio medica inauguralis, sistens aegrum dysentericum"
Advisor: Rudolf Jakob Camerarius
Rudolf Jakob Camerarius
Medicinae Dr. Eberhard-Karls-Universität Tübingen, 1686: "Helleborus niger medice delineatus; Tensio cordis, lipothymiae causa, occasione experimenti pneumatici exposita"
Advisors: Elias Rudolph Camerarius, Sr. and Georg Balthasar Metzger
Camerarius advisor 1
Elias Rudolph Camerarius, Sr.
Medicinae Dr. Eberhard-Karls-Universität Tübingen, 1663: "Dissertatio medica inauguralis de acidulis"
Advisor: Georg Balthasar Metzger
Georg Balthasar Metzger
See next entry.
Camerarius advisor 2
Georg Balthasar Metzger
Medicinae Doctor Universität Basel, 1650: "Disputatio medica inauguralis de catarrho suffocativo"
Advisor: Johann Jakob von Brunn
Johann Jakob von Brunn
Medicinae Dr. Universität Basel, 1615
Advisor: Johannes Nicolaus Stupanus
Johannes Nicolaus Stupanus
Medicinae Dr. Universität Basel, 1569
Advisor: Theodor Zwinger
Hausen advisor 2
Johann Christoph Wichmannshausen
Ph.D. Universität Leipzig, 1685: "Disputationem Moralem De Divortiis Secundum Jus Naturae"
Advisor: Otto Mencke
Otto Mencke
Ph.D. Universität Leipzig, 1665: "Ex Theologia naturali -- De Absoluta Dei Simplicitate, Micropolitiam, id est Rempublicam In Microcosmo Conspicuam"
Advisor: Jakob Thomasius
Jakob Thomasius
Thomasius was a teacher of Gottfried Leibniz, whose father Friedrich Leibniz was his master's degree advisor.