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Equilibrium and Explanation in 18th Century Mechanics

The received view of the Scientific Revolution is that it was completed with
the publication of Isaac Newton's (1642-1727) {em Philosophiae Naturalis
Principia Mathematica} in 1687. Work on mechanics in the century or more following was thought to be merely a working out the mathematical details of
Newton's program, in particular of
translating his mechanics from its synthetic expression into analytic form. I
show that the mechanics of Leonhard Euler (1707--1782) and Joseph-Louis
Lagrange (1736--1813) did not begin with Newton's Three Laws. They provided
their own beginning principles and interpretations of the relation between
mathematical description and nature. Functional relations among the quantified
properties of bodies were interpreted as basic mechanical connections between
those bodies. Equilibrium played an important role in explaining the behavior
of physical systems understood mechanically. Some behavior was revealed to be
an equilibrium condition; other behavior was understood as a variation from
equilibrium. Implications for scientific explanation are then drawn from
these historical considerations, specifically an alternative account of
mechanical explanation and unification. Trying to cast mechanical
explanations (of the kind considered here) as Kitcher-style argument schema
fails to distinguish legitimate from spurious explanations. Consideration of
the mechanical analogies lying behind the schema are required.

Identiferoai:union.ndltd.org:PITT/oai:PITTETD:etd-07282007-154439
Date20 September 2007
CreatorsHepburn, Brian Spence
ContributorsPaolo Palmieri, Gordon Belot, James McGuire, John Earman, Peter Machamer, Frank Tabakin
PublisherUniversity of Pittsburgh
Source SetsUniversity of Pittsburgh
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.library.pitt.edu/ETD/available/etd-07282007-154439/
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