After Euclid

by Jesse Norman

Overview

What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.

Product Details

ISBN-13:	9781575865102
Publisher:	Center for the Study of Language and Inf
Publication date:	06/01/2006
Series:	Lecture Notes , #175
Edition description:	1
Pages:	200
Product dimensions:	6.00(w) x 9.00(h) x 0.60(d)

About the Author

Jesse Norman is honorary research fellow in philosophy at University College in London.

Table of Contents

Preface
 
1.  Introduction:  An Old Kind of Reasoning
2.  The Euclidean Presentation
3.  The Framework of Alternatives
4.  Crude Empiricism:  Ross's Plato
5.  Subtle Empiricism:  Mill
6.  Leibniz and the Denial of Epistemic Value
7.  Kant:  A Proto-Theory of Geometrical Reasoning
8.  Making Room for a Neo-Kantian View
9.  The Competing Logics of Prop. I.32
10.  The Epistemology of Euclid's Argument
11.  Conclusions:  Value Restores
 
References
Index