After Euclid

Visual Reasoning and the Epistemology of Diagrams

Jesse Norman - Collection Lecture Notes

176 pages, parution le 10/10/2006

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Résumé

What is it to have visual intuition ? Can we obtain geometrical knowledge by using visual reasoning ? And if we can, is this because we have a faculty of intuition ?

This book addresses these questions. It shows how mainstream philosophers since Leibniz have wrongly ignored visual reasoning as a source of knowledge; and how even basic geometrical reasoning that uses diagrams can be explained without using any appeal to a faculty of intuition. In so doing, this book helps to rehabilitate an ancient but long-disregarded tradition as it presents the first detailed philosophical case study of that branch of mathematical reasoning.

L'auteur - Jesse Norman

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

Sommaire

Introduction: An Old Kind of Reasoning
The Euclidean Presentation
The Framework of Alternatives
Crude Empiricism: Ross's Plato
Subtle Empiricism: Mill
Leibniz and the Denial of Epistemic Value
Kant: A Proto-Theory of Geometrical Reasoning
Making Room for a Neo-Kantian View
The Competing Logics of Prop. I.32
The Epistemology of Euclid's Argument
Conclusions: Value Restored

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Caractéristiques techniques

	PAPIER
Éditeur(s)	CSLI
Auteur(s)	Jesse Norman
Collection	Lecture Notes
Parution	10/10/2006
Nb. de pages	176
Format	15 x 22,5
Couverture	Broché
Poids	300g
Intérieur	Noir et Blanc
EAN13	9781575865102
ISBN13	978-1-57586-510-2