Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun A distinct part of a larger
model
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
Support
Help support Wordnik (and make this page ad-free) by adopting the word submodel.
Examples
-
To each submodel we attach a weight that equals the probability of the corresponding scenario.
-
To each submodel we attach a weight that equals the probability of the corresponding scenario.
-
Together, these facts help us to isolate what's really going on in the transitive submodel version of Skolem's Paradox.
Skolem's Paradox Bays, Timothy 2009
-
The well-foundedness of is in practice often the consequence of being a submodel of some.
Kurt Gödel Kennedy, Juliette 2007
-
By a combination of the Levy Reflection principle and the Löwenheim-Skolem Theorem there is a countable submodel of satisfying a sufficiently large finite part of the ZF axioms +
Kurt Gödel Kennedy, Juliette 2007
-
I.e., we cannot say that, e.g., model specified in 78., is better/worse as model in 78. as the submodel of 78. could be written as 75. with certain assumptions on the error e in 75.
-
I.e., we cannot say that, e.g., model specified in 78., is better/worse as model in 78. as the submodel of 78. could be written as 75. with certain assumptions on the error e in 75.
-
(indeed, we may assume that this countable model is a submodel of the model with which we started).
Skolem's Paradox Bays, Timothy 2009
-
This transitive submodel version of the paradox has been widely discussed in the literature (McIntosh 1979; Benacerraf 1985; Wright
Skolem's Paradox Bays, Timothy 2009
-
Finally, the Transitive Submodel Theorem strengthens the downward Löwenheim-Skolem theorem by saying that if our initial M happens to be a so-called transitive model for the language of set theory, then the submodel generated by the downward theorem can also be chosen to be transitive. [
Skolem's Paradox Bays, Timothy 2009
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.