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Splitting the Pasch axiom

✍ Scribed by Victor Pambuccian

Book ID: 112499022
Publisher: Springer
Year: 1996
Tongue: English
Weight: 191 KB
Volume: 56
Category: Article
ISSN: 0047-2468
DOI: 10.1007/bf01222689

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## Abstract We prove that, in the framework of ordered geometry, the inner form of the Pasch axiom (**IP**) does not imply its outer form (**OP**). We also show that **OP** can be properly split into **IP** and the weak Pasch axiom (**WP**) (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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