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Related to Principle of inertia: Newton's second law
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Other philosophers assert the complementary view that "the principle of inertia does not even try to explain uniform rectilinear motion, but only says it needs no explanation." (7)
Against the views of these philosophers, one begins to see that inertia is an inherent principle and is natural in the Aristotelian sense by considering why Newton's First Law of Motion is also called the principle of inertia. Newton explains what he means by inertia in Definition III of the Principia, a definition that implies and partly explains the First Law: Inherent force of matter [Materiae vis insita] is the power of resisting by which every body, so far as it is able [quantum in se est], perseveres in its state either of resting or of moving uniformly straight forward.
Poincare continues with his discussion of the principle of inertia by stating that Newton's First Law could be the consequence of a more general principle, of which the principle of inertia is only a particular case.
Thus, I essentially argue that Newton's First Law makes reference to phenomena that are just two possibilities within a broader range of possibilities mandated by a more general principle of inertia, such as the law of inertia of section 3.

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