Ultraproducts and Los' Theorem
Authored by Nikesh Solanki
Philosophy, Mathematics
University
Used 1+ times
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12 questions
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1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Fill the blank to complete the following definition of an ultrafilter.
An ultrafilter on a set I is a filter on I that is ______ with respect to set inclusion.
2.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
A principal ultrafilter on I is an ultrafilter U such that.
An ultrafilter on I that such that the resulting ultrapowers are isomorphic to the component structures.
One that is equivalent to a principal ideal domain.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the properties of filters is used in the existential case of the proof of Los' theorem?
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What kind of proof is used in Los' Theorem.
6.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
True
False
I do not know.
7.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
True
False
I do not know.
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