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Hobbes on the Order of Sciences: A Partial Defense of the Mathematization Thesis

Biener, Zvi (2016) Hobbes on the Order of Sciences: A Partial Defense of the Mathematization Thesis. [Preprint]

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Abstract

Accounts of Hobbes’s ‘system’ of sciences oscillate between two extremes. On one extreme, the system is portrayed as wholly axiomtic-deductive, with statecraft being deduced in an unbroken chain from the principles of logic and first philosophy. On the other, it is portrayed as rife with conceptual cracks and fissures, with Hobbes’s statements about its deductive structure amounting to mere window-dressing. This paper argues that a middle way is found by conceiving of Hobbes’s _Elements of Philosophy_ on the model of a mixed-mathematical science, not the model provided by Euclid’s _Elements of Geometry_. I suggest that Hobbes is a test case for understanding early-modern system-construction more generally, as inspired by the structure of the applied mathematical sciences. This approach has the additional virtue of bolstering, in a novel way, the thesis that the transformation of philosophy in the long seventeenth century was heavily indebted to mathematics, a thesis that has increasingly come under attack in recent years.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Biener, Zvizvi.biener@uc.edu
Additional Information: Forthcoming in _The Southern Journal of Philosophy_
Keywords: Mathematization, Hobbes, Mechanics, Subalternation, History of Philosophy of Science, Scientific Revolution
Subjects: General Issues > History of Philosophy of Science
General Issues > Structure of Theories
Depositing User: Zvi Biener
Date Deposited: 18 Jan 2016 23:34
Last Modified: 18 Jan 2016 23:34
Item ID: 11868
Subjects: General Issues > History of Philosophy of Science
General Issues > Structure of Theories
Date: 10 January 2016
URI: http://philsci-archive.pitt.edu/id/eprint/11868

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