𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Addendum to “countable algebra and set existence axioms”

✍ Scribed by Harvey M. Friedman; Stephen G. Simpson; Rick L. Smith


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
92 KB
Volume
28
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On Axioms of Conditional Set Existence
✍ Hao Wang 📂 Article 📅 1967 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB

ON AXIOMS OF CONDITIONAL SET EXISTENCE1) by HAO WANU in Cambridge, Mass. (U.S.A.) ## 1. Outline of arguments I n what follows, the (restricted) predicate calculus with equality is assumed throughout. Let ( U ! u ) H u be short for (w) ( u ) ((Hw A H u ) 13 w = u ) , ( E ! y ) H y be short for (Ey)

Extending Independent Sets to Bases and
✍ Kyriakos Keremedis 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 363 KB 👁 1 views

## Abstract We show that the both assertions “in every vector space __B__ over a finite element field every subspace __V__ ⊆ __B__ has a complementary subspace __S__” and “for every family 𝒜 of disjoint odd sized sets there exists a subfamily ℱ={F~j~:j ϵω} with a choice function” together imply the