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
Internal set theory
(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!
=== Transfer === *If <math>\phi(x,u_1,\dots,u_n)</math> is an internal formula with no other free variables than those indicated, then *:<math>\forall^\mathrm{st}u_1\dots\forall^\mathrm{st}u_n\,(\forall^\mathrm{st}x\,\phi(x,u_1,\dots,u_n)\to\forall x\,\phi(x,u_1,\dots,u_n))</math> :is an axiom. *In words: If all the parameters ''A'', ''B'', ''C'', ..., ''W'' of an internal formula ''F'' have standard values then {{nowrap|''F''(''x'', ''A'', ''B'',..., ''W'')}} holds for all ''x''{{'}}s as soon as it holds for all standard ''x''{{'}}s—from which it follows that all uniquely defined concepts or objects within classical mathematics are standard.
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)