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searching for Parallel postulate 9 found (112 total)

Dehn plane (641 words) [view diff] exact match in snippet view article find links to article

which takes values in Ω(t), gives a model of Euclidean geometry. The parallel postulate is true in this model, but if the deviation from the perpendicular

Index of continental philosophy articles (1,111 words) [view diff] exact match in snippet view article find links to article

Life Schizoanalysis Schopenhauer's criticism of the proofs of the parallel postulate Search for a Method Secondary antisemitism Self-deception Semeiotic

Index of modern philosophy articles (1,038 words) [view diff] exact match in snippet view article find links to article

Samuel Taylor Coleridge Schopenhauer's criticism of the proofs of the parallel postulate Science of Logic Scottish School of Common Sense Sebastian Petrycy

Jeremiah J. Callahan (1,424 words) [view diff] no match in snippet view article find links to article

Critique of Metageometry claimed to have proved Euclid's fifth "parallel" postulate, by re-ordering the logical structure of Euclid's Elements. Callahan

Nonstandard analysis (3,978 words) [view diff] exact match in snippet view article find links to article

(analogous to the Dehn plane) is external, and in this limited plane the parallel postulate is violated. For example, any line passing through the point (0, 1)

How Not to Be Wrong (2,098 words) [view diff] exact match in snippet view article find links to article

Universe": This chapter talks about János Bolyais, and his work on the parallel postulate. Others mentioned in this chapter include David Hilbert, and Gottlob

Joseph Delboeuf (2,299 words) [view diff] case mismatch in snippet view article find links to article

ISBN 9789027718372 BEESON, MICHAEL (2016). "Constructive Geometry and the Parallel Postulate". The Bulletin of Symbolic Logic. 22 (1): 1–104. arXiv:1407.4398.

Index of philosophy articles (R–Z) (8,145 words) [view diff] exact match in snippet view article

Kantian philosophy Schopenhauer's criticism of the proofs of the parallel postulate Schröder–Bernstein theorem Schrödinger equation Science Science and

Glossary of classical algebraic geometry (11,193 words) [view diff] exact match in snippet view article find links to article

2. Absolute geometry is roughly Euclidean geometry without the parallel postulate. accidental An accidental (or improper) double point of a surface