On the Axioms of Order and Succession
β Scribed by Kurt Bing
- Book ID
- 124950717
- Publisher
- Association for Symbolic Logic
- Year
- 1957
- Tongue
- English
- Weight
- 158 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2964175
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract In this paper, we discuss uniform versions of some axioms of second order arithmetic in the context of higher order arithmetic. We prove that uniform versions of weak weak KΓΆnig's lemma WWKL and Ξ£^0^~1~ separation are equivalent to (β^2^) over a suitable base theory of higher order arit
## Abstract The present article deals with the power of the axiom of choice (AC) within the secondβorder predicate logic. We investigate the relationship between several variants of AC and some other statements, known as equivalent to AC within the set theory of Zermelo and Fraenkel with atoms, in