Dasein - Monoskop

268 NOTES TO PART III
Weiss, Vol. IV: The Simplest Mathematics, Harvard University Press, Cambridge,
Mass., 1933, p. 10: "How many writers of our generation (if I must
call names, in order to direct the reader to further acquaintance with a generally
described character—let it be in this case the distinguished Husserl)
after underscored protestations that their discourse shall be of logic exclusively
and not by any means of psychology (almost all logicians protest
that on file), forthwith become intent upon those elements of the process
of thinking which seem to be special to a mind like that of the human race,
as we find it, to too great neglect of those elements which must belong, as
much to any one as to any other mode of embodying the same thought."
l26 Miller, Numbers in Presence and Absence, pp. 116-7; Suzanne
Bachelard, La Logique de Husserl, Presses Universitäres de France, Paris,
1957, p. 115.
l27 Picker, "Die Bedeutung der Mathematik ...", p. 272.
l28 E. Scholz, Geschichte des Mannigfaltigkeitsbegriffs von Riemann bis
Poincart, Birkhausen, Boston, 1980, pp. 30-31.
l29 For an overview of this period in the history of geometry, see
Roberto Torretti, Philosophy of Geometry from Riemann to Poincari, Reidel,
Dordrecht, 1978.
130 For an early but still highly illuminating study on the relation between
Husserl and Hilbert, see Dietrich Mahnke, "Von Hilbert zu Husserl.
Erste Einführung in die Phänomenologie, besonders der formalen Mathematik",
Unterrichtsblatter fur Mathematik und Naturwissenschaften, vol.
XXIX (1923), pp. 34-37. English translation by David L. Boyer, "From
Hilbert to Husserl: First Introduction to Phenomenology, especially that of
Formal Mathematics", Studies in History and Philosophy of Science, vol.
8 (1977), pp. 71-84. Mahnke is also interesting for the further reason that
he wrote a dissertation on Leibniz, a work that influenced Husserl's own
view of Leibniz. See Dietrich Mahnke, "Leibnizens Synthese von Universalmathematik
und Individualmetaphysik", Jahrbuch fur Philosophie und
phänomenologische Forschung, vol. VII (1925), pp. 305-609. Cf. E.
Husserl, Zur Phänomenologie der IntcrsubjektivitäL Texte aus dem Nachlasst
Zweiter Teil: 1921-1928, edited by Iso Kern, Husserliana XIV, Martinus
Nijhoff, The Hague, 1973, pp. 298-302.
l3l See his paper mentioned in note 82. On the controversy between
Hilbert and Frege, see also Friedrich Kambartel, "Frege und die axiomatische
Methode", in Christian Thiel (ed.), Frege und die moderne Grundlagenforschung,
Anton Hain, Meisenheim am Glan, 1975, pp. 77-89.
132 "Auszüge Husserls aus einem Briefwechsel zwischen Hilbert und
Frege", in Husserliana XII, pp. 447-451, here pp. 448-449.