Titlebook: Mathematizing Space; The Objects of Geome Vincenzo Risi Conference proceedings 2015 Springer International Publishing Switzerland 2015 geom

做方舟

保留

珍奇

,A Note on Lines and Planes in Euclid’s Geometry,he modern West Euclid’s . was simultaneously regarded as the epitome of knowledge and as flawed and confused. It is well known that many mathematicians brought up on Euclid and other Greek geometers complained that they found themselves compelled to accept the conclusions but not instructed in how t

AER

勉强

,Proclus’ Conception of Geometric Space and Its Actuality,t he does with it. I will henceforth pay particular attention to the role of spatial configurations in the . which he describes. My motivations are twofold. First, although Proclus’ philosophy of geometry has received quite a lot of attention in the scholarship, this attention has remained mainly in

钩针织物

颂扬本人

Mathematics and Infinity in Descartes and Newton,t be infinite has been the subject of intense debate not only on mathematical and philosophical grounds, but for theological and political reasons as well. When Copernicus and his followers challenged the old Aristotelian and Ptolemaic conceptions of the world’s finiteness, if not its boundedness, t

遗忘

LEVY

,Hume ’s Skepticism and Inductivism Concerning Space and Geometry,n and ultimate evidence This epistemological model ultimately relies on phenomenologically given particular sensory images. Diagrams in geometry are always regarded as themselves particular sensory images, thus they cannot be taken as representatives of ideal geometrical objects. Guided by this conc

Calculus

Kant on Geometry and Experience,etry that aimed to explain the distinctive relation of the mathematical science of geometry to our experience of the world around us—both our ordinary perceptual experience of the world in space and the more refined empirical knowledge of this same world afforded by the new mathematical science of n