"The author of this book has accomplished something that no one before him has even attempted. He has demonstrated that Fichte does indeed possess a coherent and original ‘philosophy of mathematics’ and even propounds a ‘new model of geometry,’ one that deserves closer attention than it has received. He also has shown that the connections between geometry and the Wissenschaftslehre are deep and significant, especially significant for an understanding the method of Fichte’s system." – Daniel Breazeale, in: <i>Notre Dame Philosophical Reviews</i>, August 2012<br />"This work testifies to the author's exact and extensive knowledge of the Fichtean texts, as well as of the philosophical, scientific and historical contexts. Wood has opened up completely new paths for Fichte research, and examines with clarity and precision a domain that up to now has hardly been researched." – Professor Dr. Marco Ivaldo, <i>University of Naples</i><br />"This study, written in a language distinguished by its limpidity and precision, and constantly supported by a close reading of the Fichtean texts and secondary literature, furnishes highly detailed and convincing demonstrations. In directly confronting the difficult historical relationship between the <i>Wissenschaftslehre</i> and mathematics, the author has broken new ground that is at once stimulating, decidedly innovative, and elegantly audacious." – Professor Dr. Emmanuel Cattin, <i>Université Blaise-Pascal, Clermont-Ferrand</i>

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 “ursprüngliche” 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.”
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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
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Produktdetaljer

ISBN
9789042034914
Publisert
2012
Utgiver
Brill
Vekt
490 gr
Høyde
235 mm
Bredde
155 mm
Dybde
18 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
312

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