The Science Absolute of Space: Independent of the Truth or Falsity of Euclid's Axiom XI (Which Can Never Be Decided a Priori), Vol. 3 (Classic Reprint) - Couverture souple

Story, Douglas

Couverture souple

ISBN 10 : 1440087121 ISBN 13 : 9781440087127

Editeur : Forgotten Books, 2018

Synopsis

Challenging Euclid’s parallel postulate—and what that means for space itself. This work dives into the long history of geometry, showing how a single assumption shapes what we can prove about the world we inhabit.

This edition gathers insights from translators and mathematicians who questioned whether Euclid’s axiom XI is truly necessary. It traces debates from Euclid’s Elements to modern viewpoints, illustrating why this question matters for our understanding of space, shapes, and proof.

• Learn how geometry has evolved when a foundational postulate is treated as potentially unprovable.


• See historical letters and ideas from Gauss and Bolyai about alternative spaces and the limits of proof.


• Explore how spherical geometry and plane geometry relate to the same age-old problem.


• Discover how the discussion extends to the nature of space itself and what can be demonstrated.

Ideal for readers curious about the foundations of geometry, the nature of proof, and how mathematical assumptions shape our view of space.

A propos du livre

Présentation de l'éditeur

The immortal Elements of Euclid was already in dim antiquity a classic, regarded as absolutely perfect, valid without restriction. Elementary geometry was for two thousand years as stationary, as fixed, as peculiarly Greek, as the Parthenon. On this foundation pure science rose in A rchimedes, in A pollonius, in Pappus; struggled inT heon, inH ypatia; declined in Proclus; fell into the long decadence of theD ark A ges. The book that monkish Europe could no longer understand was then taught in A rabic byS aracen and Moor in the Universities of Bagdad and Cordova. To bring the light, after weary, stupid cen turies,, to western Christendom, anE nglish man, A delhard of Bath, journeys, to learn A rabic, through Asia Minor, through Egypt, back to Spain. Disguised as aM ohammedan student, he got into Cordova about 1120, obtained aM oorish copy of Euclid sE lements, and made a translation from the A rabic into Latin.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440087121
• ISBN 13: 9781440087127
• Reliure: Broché
• Nombre de pages: 112
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