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) - Softcover

Inhaltsangabe

Uncover how one stubborn assumption shaped the way we understand geometry—and how bold thinkers questioned it.

This volume explores the long, often debated path from Euclid’s Elements to modern ideas about proof, space, and possibility.

Through the translator’s introduction and selected discussion, the book frames a history of geometry around the so‑called parallel postulate and the questions it raised. It traces how mathematicians like Gauss and Bolyai challenged established views, and how those challenges reshaped our grasp of space and truth.

• Learn why a single postulate mattered for centuries and how it affected proofs.
• See how early modern thinkers viewed geometry as a trustworthy guide to the physical world.
• Meet the historical figures who expanded what geometry could mean beyond Euclid’s original framework.
• Understand the tension between axioms, assumptions, and the nature of mathematical certainty.

Ideal for readers of math history and the philosophy of proof, this edition helps you see geometry in a new light.

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