Search results
This chapter offers the briefest sketch of some of the more important stages in that history, together with some sort of justification for the particular approach to geometry in this book.
14 paź 2013 · Geometry has been a school of systematic logical thinking, with Euclid’s work taken to be the paradigm of a well-founded science for millennia, but with a sudden change of views around 1900.
Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers . Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today.
Abstract. A principal interpretative difficulty for Aristotle’s philosophy of geometry is that he seems to maintain both that sensible things are not the objects of geometry and that geometrical objects are in the sensible world. In this paper I offer a philosophical defence of what I take to be Aristotle’s position.
This supplement provides an outline of the conceptions of analysis involved in ancient Greek geometry and Plato’s and Aristotle’s philosophies, together with a comparison with analytic conceptions and methodologies in ancient Chinese philosophy and ancient Indian philosophy.
27 kwi 2024 · 1 Introduction. In Kant’s (1781) Critique of Pure Reason, there are several references to Euclidean geometry as a means to support some of the arguments made by the philosopher. For Kant, geometry was a science which determined the properties of space a priori.
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge.
