Euclid's Heritage. Is Space Three-Dimensional?

P. Janich (Autor)

Buch | Softcover

231 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1993
Springer (Verlag)
978-90-481-4217-0 (ISBN)

Artikel merken

We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid's ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our 'moving abouts'), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we know that the space we live in has just these three dimensions? It is theoreti cally possible that some spaces might exist that are not correctly described by Euclidean geometry. After all, there are the non Euclidian geometries, descriptions of spaces not conforming to the axioms and theorems of Euclid's geometry. As one might expect, there is a history of philosophers' attempts to 'prove' that space is three-dimensional. The present volume surveys these attempts from Aristotle, through Leibniz and Kant, to more recent philosophy. As you will learn, the historical theories are rife with terminology, with language, already tainted by the as sumed, but by no means obvious, clarity of terms like 'dimension', 'line', 'point' and others. Prior to that language there are actions, ways of getting around in the world, building things, being interested in things, in the more specific case of dimensionality, cutting things. It is to these actions that we must eventually appeal if we are to understand how science is grounded.

One The History of the Problem.- One / The Purely Spatial Approaches.- Two / Grounding Three-Dimensionality in Motion.- Three / Argument for Three-Dimensionality from Laws of Force.- Four / Causalistic Explanations and Three-Dimensionality.- Five / The Biological and Perception-Theoretical Approaches.- Six / Euclid’s Heritage: A Review of the History of the Problem.- Two Space Is Three-Dimensional: What Does It Mean, and Why Is It True?.- Seven / Knowledge about Space.- Eight / The Construction of the Terminology.- Nine / The Spatial Concept of Dimension and Its Universality.- Appendices.- Index of Names.

Reihe/Serie	The Western Ontario Series in Philosophy of Science ; 52
Übersetzer	David Zook
Zusatzinfo	XI, 231 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	152 x 223 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Geisteswissenschaften ► Philosophie ► Erkenntnistheorie / Wissenschaftstheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Naturwissenschaften
ISBN-10	90-481-4217-2 / 9048142172
ISBN-13	978-90-481-4217-0 / 9789048142170
Zustand	Neuware