0
Your cart

Your cart is empty

Browse All Departments
  • All Departments
Price
  • R250 - R500 (3)
  • R2,500 - R5,000 (2)
  • -
Status
Brand

Showing 1 - 5 of 5 matches in All Departments

Euclid's Heritage. Is Space Three-Dimensional? (Paperback, Softcover reprint of hardcover 1st ed. 1993): David Zook Euclid's Heritage. Is Space Three-Dimensional? (Paperback, Softcover reprint of hardcover 1st ed. 1993)
David Zook; P Janich
R2,939 Discovery Miles 29 390 Ships in 10 - 15 working days

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."

Euclid's Heritage. Is Space Three-Dimensional? (Hardcover, 1993 ed.): David Zook Euclid's Heritage. Is Space Three-Dimensional? (Hardcover, 1993 ed.)
David Zook; P Janich
R3,107 Discovery Miles 31 070 Ships in 10 - 15 working days

The three spatial characteristics of length, height and depth are used in the same unreflective way by laymen, technicians and scientists alike to describe the forms, positions and measure of bodies and hollow bodies. But how do we know that the space we live in has just these three dimensions? The question has occupied philosophers and scientists since antiquity. The answers proposed have become ever more presumptuous and have increasingly lost sight of everyday intuitions and have sacrificed explanatory power. In Euclid's Heritage Janich shows that all explanations of three-dimensionality hinge on an unreflective geometrical language which seems to accept the lack of an alternative for the three sorts of entities -- points, lines and planes -- that bound the three extended entities -- lines, planes and solids. This is a Euclidean heritage in a dual sense: Euclid himself adopted a geometrical language from the art of figure drawing, and left a tradition of doing geometry as planimetry and of doing stereometry by rotating plane figures. The systematic approach offered here starts out from operational definitions of the spatial forms -- plane, straight edge and perpendicularity -- and proofs that only three planes can intersect pairwise orthogonally. This is the constructive solution in the frame theory of action, providing an unequivocal characterisation of spatial relations in the physical world. The traditional order of geometric concepts turns out to be the most important obstacle to the methodical ordering of everyday scientific concepts.

Crush the CogAT - Form 7 Practice Test 2 (Grades K, 1, and 2) (Paperback): Amulya Deva, David Zook Crush the CogAT - Form 7 Practice Test 2 (Grades K, 1, and 2) (Paperback)
Amulya Deva, David Zook
R462 Discovery Miles 4 620 Ships in 10 - 15 working days
Crush the CogAT - Form 7 Practice Test 3 (Grades K, 1, and 2) (Paperback): Amulya Deva, David Zook Crush the CogAT - Form 7 Practice Test 3 (Grades K, 1, and 2) (Paperback)
Amulya Deva, David Zook
R462 Discovery Miles 4 620 Ships in 10 - 15 working days
Crush the CogAT - Form 7 Practice Test 1 (Grades K, 1, and 2) (Paperback): Amulya Deva, David Zook Crush the CogAT - Form 7 Practice Test 1 (Grades K, 1, and 2) (Paperback)
Amulya Deva, David Zook
R462 Discovery Miles 4 620 Ships in 10 - 15 working days
Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Dig & Discover: Ancient Egypt - Excavate…
Hinkler Pty Ltd Kit R263 Discovery Miles 2 630
Bestway Floating Pool Thermometer
R56 Discovery Miles 560
Stealth SX-C10-X Twin Rechargeable…
R499 R269 Discovery Miles 2 690
The South African Guide To Gluten-Free…
Zorah Booley Samaai Paperback R380 R270 Discovery Miles 2 700
LP Support Deluxe Waist Support
 (1)
R369 R262 Discovery Miles 2 620
Ab Wheel
R209 R149 Discovery Miles 1 490
Morbius
Jared Leto, Matt Smith, … DVD R179 Discovery Miles 1 790
Nuovo All-In-One Car Seat (Black)
R3,599 R3,020 Discovery Miles 30 200
Cacharel Anais Anais L'original Eau De…
 (1)
R2,317 R989 Discovery Miles 9 890
Multi Colour Jungle Stripe Neckerchief
R119 Discovery Miles 1 190

 

Partners