Article ID: CBB738730801

Newton on active and passive quantities of matter (2020)

unapi

Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess manuscript versions of Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity.

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Authors & Contributors
Ducheyne, Steffen
Kochiras, Hylarie
Nauenberg, Michael
Bertoloni Meli, Domenico
Chen-Morris, Raz
Duchesneau, François
Journals
Archive for History of Exact Sciences
Revue d'Histoire des Sciences
Foundations of Science
Historia Mathematica
History of Science
HOPOS
Publishers
Oxford University Press
University of North Carolina at Chapel Hill
Concepts
Motion (physical)
Forces
Gravitation
Philosophy of science
Physics
Explanation; hypotheses; theories
People
Newton, Isaac
Descartes, René
Leibniz, Gottfried Wilhelm von
Varignon, Pierre
Alembert, Jean le Rond d'
Bernoulli, Johann
Time Periods
17th century
18th century
16th century
19th century
Medieval
Places
Great Britain
Paris (France)
England
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