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APAL
2006
45views more  APAL 2006»
13 years 5 months ago
On properties of theories which preclude the existence of universal models
We introduce the oak property of first order theories, which is a syntactical condition that we show to be sufficient for a theory not to have universal models in cardinality whe...
Mirna Dzamonja, Saharon Shelah
APAL
2006
103views more  APAL 2006»
13 years 5 months ago
Canonical structure in the universe of set theory: part two
We prove a number of consistency results complementary to the ZFC results from our paper [4]. We produce examples of non-tightly stationary mutually stationary sequences, sequences...
James Cummings, Matthew Foreman, Menachem Magidor
AML
2010
98views more  AML 2010»
13 years 5 months ago
Small universal families for graphs omitting cliques without GCH
When no single universal model for a set of structures exists at a given cardinal, then one may ask in which models of set theory does there exist a small family which embeds the r...
Katherine Thompson
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 months ago
Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory
Bayes statistics and statistical physics have the common mathematical structure, where the log likelihood function corresponds to the random Hamiltonian. Recently, it was discovere...
Sumio Watanabe
JSYML
1998
68views more  JSYML 1998»
13 years 4 months ago
Pseudo-Superstructures as Nonstandard Universes
A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard ...
Mauro Di Nasso