"Mathesis of the mind" : a study of Fichte's Wissenschaftslehre and geometry
Author(s)
Bibliographic Information
"Mathesis of the mind" : a study of Fichte's Wissenschaftslehre and geometry
(Fichte-Studien-Supplementa, Bd. 29)
Rodopi, 2012
Available at 8 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Originally presented as the author's thesis (Ph.D.)--Ludwig-Maximilians-Universität, Munich, 2009
Bibliography: p. [291]-302
Description and Table of Contents
Description
This is the first major study in any language on J.G. Fichte's philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to "ordinary" Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an "ursprungliche" or original geometry - that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte's philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or "mathesis of the mind."
Table of Contents
Acknowledgements
Introduction: Fichte as the Euclid of Philosophy?
Fichte's Philosophy of Mathematics
A Philosophy of Mathematics in nuce: Fichte's Erlanger Logik
The Contents of a Fichtean Philosophy of Mathematics
Fichte's Theory of "Original" Geometry
"Ordinary" and "Original" Geometry
Fichte's Mathematical Platonism
Axioms, Intuition and Construction
Is Fichte's Grundsatz equivalent to a Geometric Postulate?
Sensible, Mathematical and Intellectual Intuition
Geometrical Construction in the Wissenschaftslehre
The Fichtean Conception of Space
Philosophical Images: Fichte on Fundamental Elements of Geometry
Fichte's Conception of Space
The Relationship between Geometry and the "Wissenschaftslehre"
Geometry as a Propedeutic for the Wissenschaftslehre
Further Similarities and Differences between Wissenschaftslehre and Geometry
The "Wissenschaftslehre" as "Mathesis of the Mind"
Appendix: Johann Gottlieb Fichte: "Original Geometry"
Bibliography
List of Abbreviations
by "Nielsen BookData"