nLab Philosophy of Nature

under construction

Context

Philosophy

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Schools

Of mathematics

Of physics

Physics

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Surveys, textbooks and lecture notes

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    • Axiomatizations

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        • -theorem

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this page is to eventually collect material on

  • Georg Hegel,

    Philosophie der Natur

    in

    Enzyklopädie der philosophischen Wissenschaften im Grundrisse

    (1830)

    in W. Bonsiepen und H.-C. Lucas (eds.), Gesammelte Werke, Rheinisch-Westfälischen Akademie der Wissenschaften, and xx. Hamburg: Felix Meiner, 1992 ( Bonsiepen/Lucas 1992)

on, roughly, natural philosophy. For the moment see at

Some material…

§202 Other mathematical determinations, such as infinity and its relationships, the infinitesimal, factors, powers, and so on, have their true concepts in philosophy itself. It is awkward to want to take and derive these from mathematics, where they are employed in a nonconceptual, often meaningless way; rather, they must await their justification and significance from philosophy.

§202 The truly philosophical science of mathematics as theory of magnitude would be the science of measures, but this already presupposes the real particularity of things, which is only at hand in concrete nature.

Compare to Science of Logic §709:

SoL §709 The development of measure which has been attempted in the following chapters is extremely difficult. Starting from immediate, external measure it should, on the one hand, go on to develop the abstract determination of the quantitative aspects of natural objects (a mathematics of nature), and on the other hand, to indicate the connection between this determination of measure and the qualities of natural object

References

Beware that the first version greatly differs from the third. English translations of the final version are in

  • A. V. Miller, Oxford Clarendon Press 1970

  • M. J. Petry, London 1970

for review of these see jstor/3750018

category: reference

Last revised on March 3, 2015 at 21:38:52. See the history of this page for a list of all contributions to it.