When Newton proposed his axioms describing fundamental laws of physics, he insisted on the necessity of absolute space to a completed theory of mechanics. Absolute space can be best described as not-relationally-dependent space. Newton purports that there is something more to space than just being a vessel to conceptualize positional differences between specific bodies; he claims that there is some objective truth to space -- that spatial differences are not dependent upon the matter contained within space. In his Principia, he states that the difference of relational and absolute space becomes manifest in the consideration of place, velocity, and acceleration. These considerations serve to metaphysically establish absolute space in themselves. However, Newton attempts to support the existence experimentally in his famous 'bucket experiment'. Through an explication of his reasoning and an analysis of his motivation, I intend to show that Newton's notion of space is, at best, incomplete. Newton describes the difference between absolute and relative space in the scholium to definition eight in the Principia: "Absolute space...without relation to anything external, remains similar and immovable. Relative space is some movable dimension or measure of the absolute spaces" (152). His first relevant explication in the scholium is of place. Place is that which a body occupies in space. Absolute place differs from relative place in that it requires no relationship to any other body to be determined; it is determined by the construct of absolute space itself. Absolute motion, then, is the translation of a body from one absolute position to another. In the same trend, absolute velocity is constant absolute motion in time, and absolute acceleration is a change in absolute velocity in time. With that clearly laid out, Newton has explicitly shown how absolute space is conceptually applied to mechanics. The validity of absolute
When Newton proposed his axioms describing fundamental laws of physics, he insisted on the necessity of absolute space to a completed theory of mechanics. Absolute space can be best described as not-relationally-dependent space. Newton purports that there is something more to space than just being a vessel to conceptualize positional differences between specific bodies; he claims that there is some objective truth to space -- that spatial differences are not dependent upon the matter contained within space. In his Principia, he states that the difference of relational and absolute space becomes manifest in the consideration of place, velocity, and acceleration. These considerations serve to metaphysically establish absolute space in themselves. However, Newton attempts to support the existence experimentally in his famous 'bucket experiment'. Through an explication of his reasoning and an analysis of his motivation, I intend to show that Newton's notion of space is, at best, incomplete. Newton describes the difference between absolute and relative space in the scholium to definition eight in the Principia: "Absolute space...without relation to anything external, remains similar and immovable. Relative space is some movable dimension or measure of the absolute spaces" (152). His first relevant explication in the scholium is of place. Place is that which a body occupies in space. Absolute place differs from relative place in that it requires no relationship to any other body to be determined; it is determined by the construct of absolute space itself. Absolute motion, then, is the translation of a body from one absolute position to another. In the same trend, absolute velocity is constant absolute motion in time, and absolute acceleration is a change in absolute velocity in time. With that clearly laid out, Newton has explicitly shown how absolute space is conceptually applied to mechanics. The validity of absolute