Article ID: CBB205102574

Infinitely Generative Structure: Fichte, Schelling, and Modern Geometry (2017)

unapi

Longo, Anna (Author)
Woodward, Ben (Author)


Azimuth
Volume: 5
Issue: 10
Pages: 45-58

In the following we argue that a proper notion of abstract space was articulated, in parallel, by J. G. Fichte and F. W. J. Schelling at the beginning of the 19th century. Two obvious remarks could be make which we wish to deflect – that any notion of space in the post-Kantian tradition was merely a form of apperception, and secondly, that such a statement is unsurprising given the influence of Kant on Fichte, and Fichte on Schelling. However, we wish to argue that both Fichte and Schelling sought to more deeply ground abstract space, albeit in different means, than Kant would allow. Focusing on Schelling’s Universal Deduction of the Dynamic Process (1800) and Fichte’s Erlangen Logic (1805), we wish to argue that abstract space is the space of an original activity (natural or rational) which produces or establishes the conditions of representation of objective space. Thus, they both anticipate the structural approach that allows for the development of modern mathematics and geometry in terms of determination of a virtual determinable continuum.

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Authors & Contributors
Lindberg, Susanna
Duarte, German A.
Gambetta, Emanuele
Brenner, Anastasios
Kidd, Ian James
Wojcik, W.
Journals
Studies in History and Philosophy of Science
Azimuth
Science in Context
Revue d'Histoire des Sciences
Revue d'Histoire des Mathématiques
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Publishers
Oxford University Press
Frommann-Holzboog
Gangemi Editore
Rodopi
Birkhäuser
Acumen
Concepts
Philosophy
Mathematics
Space
Geometry
Abstraction
Science
People
Schelling, Friedrich Wilhelm Joseph von
Kant, Immanuel
Fichte, Johann Gottlieb
Hegel, Georg Wilhelm Friedrich
Poincaré, Jules Henri
Whitehead, Alfred North
Time Periods
19th century
18th century
20th century, early
20th century
Renaissance
21st century
Places
Germany
France
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