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Newton on active and passive quantities of matter

机译:牛顿积极和被动数量

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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.
机译:牛顿发表了他在普林尼亚州普遍引力的推出(First Ed。,1687)。为了建立重力的普遍性(粒子 - 粒子性质),牛顿必须建立质量的增加。我称之为“添加性”,房产在身体的物质数量刚刚,如果引力力与该数量成比例,则可以将力量作为与每种粒子数量成比例的力总和。牛顿对添加性的论点是模糊的。我在初步扣除中分析并评估牛顿初始论证的稿件版本,从1685年初进行约会。牛顿的策略取决于区分了两次的物质,我称之为“活跃”和“被动”,如何通过衡量它们。这些测量程序框架条件对如此测量的每种量的添加量。牛顿有直接证据表明被动数量的积极数量,而他则不适用于活跃量的表现。相反,他试图通过基本上的第三次运动的概念分析来推断后者,主要是对磁性景点的类比。建立被动添加性所需的条件让牛顿尝试推论有效添加性。

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