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Unmoved movers: a very simple and novel form of indeterminism
European Journal for Philosophy of Science ( IF 1.5 ) Pub Date : 2022-06-24 , DOI: 10.1007/s13194-022-00475-9
Jon Pérez Laraudogoitia

It is common knowledge that the Aristotelian idea of an unmoved mover (Primum Mobile) was abandoned definitively (from a mechanical standpoint, at least) with the advent of modern science and, in particular, Newton’s precise formulation of mechanics. Here I show that the essential attribute of an unmoved mover (in a non-trivial sense, and in the context of infinite systems theory) is not incompatible with such mechanics; quite the contrary, it makes this possible. The unmoved mover model proposed does not involve supertasks, and (perhaps precisely for this reason) leads both to an outrageous form of indeterminism and a new, accountable form of interaction. The process presents a more precise characterization of the crucial going-to-the-limit operation (which will admittedly require further development in future research). It has long been acknowledged in the existing literature that, theoretically, in infinite Newtonian systems, masses can move from rest to motion through supertasks. Numerous minor variations on the original schemes have already been published. Against this backdrop, this paper introduces three significant additions: 1) It formulates for the first time a limit postulate for systematically addressing infinite systems; 2) It shows that an Aristotelian unmoved mover (with no supertask) is possible in systems of infinitely many particles that interact with each other solely by contact collision; 3) It shows how interaction at a distance can emerge in systems of infinitely many particles (at relative rest) that interact with each other solely by contact.



中文翻译:

不为所动的推动者:一种非常简单和新颖的非决定论形式

众所周知,随着现代科学的出现,尤其是牛顿对力学的精确表述,亚里士多德关于不动的动子(Primum Mobile)的想法被彻底抛弃(至少从机械的角度来看)。在这里,我展示了一个不动的推动者的本质属性(在非平凡的意义上,在无限系统理论的背景下)与这种力学并不矛盾;恰恰相反,它使这成为可能。提出的不动的移动模型不涉及超级任务,并且(也许正是因为这个原因)导致了一种令人发指的不确定性形式和一种新的、负责任的交互形式。该过程对关键的极限操作进行了更精确的表征(诚然,这需要在未来的研究中进一步发展)。现有文献早已承认,理论上,在无限牛顿系统中,质量可以通过超级任务从静止状态转变为运动状态。对原始方案的许多小改动已经发布。在此背景下,本文引入了三个重要的补充:1)它首次制定了系统解决无限系统的极限假设;2)它表明,亚里士多德式的不动动子(没有超任务)在无限多粒子的系统中是可能的,这些粒子仅通过接触碰撞相互作用;3) 它显示了在无限多粒子(相对静止)的系统中,远距离相互作用如何出现,这些粒子仅通过接触相互作用。群众可以通过超级任务从静止状态转变为运动状态。对原始方案的许多小改动已经发布。在此背景下,本文引入了三个重要的补充:1)它首次制定了系统解决无限系统的极限假设;2)它表明,亚里士多德式的不动动子(没有超任务)在无限多粒子的系统中是可能的,这些粒子仅通过接触碰撞相互作用;3) 它显示了在无限多粒子(相对静止)的系统中,远距离相互作用如何出现,这些粒子仅通过接触相互作用。群众可以通过超级任务从静止状态转变为运动状态。对原始方案的许多小改动已经发布。在此背景下,本文引入了三个重要的补充:1)它首次制定了系统解决无限系统的极限假设;2)它表明,亚里士多德式的不动动子(没有超任务)在无限多粒子的系统中是可能的,这些粒子仅通过接触碰撞相互作用;3) 它显示了在无限多粒子(相对静止)的系统中,远距离相互作用如何出现,这些粒子仅通过接触相互作用。1)它首次制定了系统地解决无限系统的极限假设;2)它表明,亚里士多德式的不动动子(没有超任务)在无限多粒子的系统中是可能的,这些粒子仅通过接触碰撞相互作用;3) 它显示了在无限多粒子(相对静止)的系统中,远距离相互作用如何出现,这些粒子仅通过接触相互作用。1)它首次制定了系统地解决无限系统的极限假设;2)它表明,亚里士多德式的不动动子(没有超任务)在无限多粒子的系统中是可能的,这些粒子仅通过接触碰撞相互作用;3) 它显示了在无限多粒子(相对静止)的系统中,远距离相互作用如何出现,这些粒子仅通过接触相互作用。

更新日期:2022-06-24
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