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Laws and Initial Conditions

Published online by Cambridge University Press:  01 January 2022

Abstract

I discuss two case studies from classical electrodynamics challenging the distinction between laws that delineate physically possible words and initial conditions. First, for many reasonable initial conditions there exist no global solutions to the Maxwell-Lorentz equations for continuous charge distributions. Second, in deriving an equation of motion for a charged point particle one needs to invoke an asymptotic condition that seems to express a physically contingent fact even though it is mathematically necessary for the derivation.

Type
Laws, Possibility, and the New Instrumentalism
Copyright
Copyright © 2004 by the Philosophy of Science Association

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References

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