Algunos especialistas de Newton han sostenido que la metodología con la que éste demuestra la existencia de la fuerza se fundamenta en el tratamiento matemático de los fenómenos del movimiento, lo que se ha convertido en la lectura clásica del asunto. No obstante, esta interpretación presenta amplias limitaciones si se examina a la luz de la lectura que intérpretes como Guicciardini y Guerlac proponen. Este artículo muestra las limitaciones de la lectura clásica a la luz de esta lectura más reciente, (...) explorando los aspectos metodológicos de la demostración de la fuerza. (shrink)

While many take Newton's argument for absolute space to be an inference to the best explanation, some argue that Newton is primarily concerned with the proper definition of true motion, rather than with independent existence of spatial points. To an extent the latter interpretation is correct. However, all prior interpretations are mistaken in thinking that 'absolute motion' is defined as motion with respect to absolute space. Newton is also using this notion to refer to the quantity of motion (momentum). This (...) reading reveals a misunderstood argument for absolute space, according to which absolute space is necessary for a workable definition of momentum. (shrink)

According to Newton and Clarke, Leibniz’s relationalism cannot make sense of distance quantities. Although the core of Newton and Clarke’s “argument from quantity” is clear enough, its details remain unclear because we do not know what its key term “quantity” means. This key term is still unsettled because, unlike Leibniz, who loudly voices his view of quantity in both his correspondence with Clarke and in his philosophical essays on quantity, Newton and Clarke are frustratingly terse when it comes to defining (...) quantity. Nevertheless, I think that it would be hasty to conclude that there is no way to expand our understanding of the term “quantity” as it appears in their argument. Although Newton and Clarke do not pursue a theory of quantity, their colleagues do, and the theory of quantity developed by their peers promises to deliver a historically rich perspective on Newton and Clarke’s argument from quantity. In this article, I aim to provide some historical context for Newton and Clarke’s argument from quantity by examining two criteria for quantity that were popular among their peers—what I call the “divisibility” and “precise increase and diminution” conditions. (shrink)

This article documents the general tendency of seventeenth-century natural philosophers, irrespective of whether they were atomists or anti-atomists, to regard space, time and matter as magnitudes having the same internal composition. It examines the way in which authors such as Fromondus, Basson, Sennert, Arriaga, Galileo, Magnen, Descartes, Gassendi, Charleton as well as the young Newton motivated their belief in the isomorphism of space, time and matter, and how this belief reflected on their views concerning the relation between geometry and physics. (...) Special attention is paid to the fact that most of the authors mentioned above regarded rarefaction and condensation, on the one hand, and acceleration and deceleration, on the other hand, as analogous phenomena, which consequently had to be explained in similar terms. (shrink)