Countable model theory and large cardinals
| Abstract | We can look at this model theoretically as follows. By the linearly ordered predicate calculus, we simply mean ordinary predicate calculus with equality and a special binary relation symbol <. It is required that in all interpretations, < be a linear ordering on the domain. Thus we have the usual completeness theorem provided we add the axioms that assert that < is a linear ordering. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,705 |
| External links |
  Try with proxy. Try with proxy. Try with proxy. Try with proxy. |
| Through your library | Only published papers are available at libraries |
Similar books and articlesSaharon Shelah (1978). End Extensions and Numbers of Countable Models. Journal of Symbolic Logic 43 (3):550-562.
Victor Harnik & Michael Makkai (1976). Applications of Vaught Sentences and the Covering Theorem. Journal of Symbolic Logic 41 (1):171-187.
Robert Bonnet & Matatyahu Rubin (1991). Elementary Embedding Between Countable Boolean Algebras. Journal of Symbolic Logic 56 (4):1212-1229.
Joel David Hamkins (1999). Gap Forcing: Generalizing the Lévy-Solovay Theorem. Bulletin of Symbolic Logic 5 (2):264-272.
Itay Neeman & Jindřich Zapletal (2001). Proper Forcing and L(ℝ). Journal of Symbolic Logic 66 (2):801-810.
U. Felgner & J. K. Truss (1999). The Independence of the Prime Ideal Theorem From the Order-Extension Principle. Journal of Symbolic Logic 64 (1):199-215.
Natasha Dobrinen & Sy-David Friedman (2006). Co-Stationarity of the Ground Model. Journal of Symbolic Logic 71 (3):1029 - 1043.
Mitch Rudominer (1999). The Largest Countable Inductive Set is a Mouse Set. Journal of Symbolic Logic 64 (2):443-459.
Menachem Kojman & Saharon Shelah (1992). Nonexistence of Universal Orders in Many Cardinals. Journal of Symbolic Logic 57 (3):875-891.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads15 ( #78,732 of 549,198 )Recent downloads (6 months)1 ( #63,397 of 549,198 )How can I increase my downloads? |
My notes
Discussion
