Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Almost all
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Meaning in algebra=== In [[abstract algebra]] and [[mathematical logic]], if <var>U</var> is an [[Ultrafilter#Special case: ultrafilter on the powerset of a set|ultrafilter]] on a set <var>X,</var> "almost all elements of <var>X</var>" sometimes means "the elements of some ''element'' of <var>U</var>".{{r|Komjath|Salzmann|Schoutens|Rautenberg}} For any [[Partition of a set|partition]] of <var>X</var> into two [[disjoint sets]], one of them will necessarily contain almost all elements of <var>X.</var> It is possible to think of the elements of a [[Filter (set theory)|filter]] on <var>X</var> as containing almost all elements of <var>X</var>, even if it isn't an ultrafilter.{{r|Rautenberg}}
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)