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Another Splitting of the Pasch Axiom

✍ Scribed by Victor Pambuccian

Book ID
105764553
Publisher
Springer
Year
2011
Tongue
English
Weight
236 KB
Volume
59
Category
Article
ISSN
1422-6383

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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**) (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)