11 research outputs found
A combination of nonstandard analysis and geometry theorem proving, with application to Newton's Principia
The Concept of Krisis in Husserl’s The Crisis of the European Sciences and Transcendental Phenomenology
On the Conceptualization of Force in Johannes Kepler\u2019s Corpus: An Interplay Between Physics/Mathematics and Metaphysics
In this chapter, we present the concept of force in Kepler. We follow the
development of this concept during Kepler\u2019s scientific career, starting from his early
considerations in the Mysterium Cosmographicum (1596) until his ripest conceptions
expounded in the Epitome Astronomiae Copernicanae (1618\u20131621). Kepler
tried to supply a dynamical explanation to the planetary movements. This is an
important novelty because astronomy was traditionally a kinematical science. Based
on the main accredited literature we present a historical account and theoretical/
nature of science (NoS) developments: (1) Keplerian forces; (2) physical astronomy;
and (3) orbits, force, and the relation between distances and forces. Koyr\ue9 had
a prominent role in the studies on astronomical revolution and on Kepler. He was
also important in fully clarifying the pivotal function that physical astronomy\u2014and
hence the concept of force\u2014had in Kepler\u2019s system of the world. Indeed, Koyr\ue9 is
still nowadays an almost unavoidable reference point for Kepler\u2019s Forschung. We
refer to several interpretations of his. This is the reason why we think appropriate to
present this work in homage to Alexandre Koyr\ue9