Extended Buchholz ordinal: Difference between revisions
no edit summary
RhubarbJayde (talk | contribs) (Created page with "The Extended Buchholz ordinal, sometimes known as OFP (short for omega-fixed-point), is the limit of an extension of Buchholz's original set of ordinal collapsing functions, defined by Denis Maksudov, which allows to collapse ordinals such as \( \Omega_{\omega + 1} \) (which corresponds to the Takeuti-Feferman-Buchholz ordinal), \( \Omega_{\omega^2} \) (which is believed to correspond to the BMS matrix (0,0,0)(1,1,1)(2,1,1)), or \( \Omega_{\...") |
RhubarbJayde (talk | contribs) No edit summary |
||
Line 1:
The Extended Buchholz ordinal, sometimes known as OFP (short for omega-fixed-point), is the limit of an extension of Buchholz's original set of ordinal collapsing functions, defined by Denis Maksudov, which allows to collapse ordinals such as \( \Omega_{\omega + 1} \) (which corresponds to the [[Takeuti-Feferman-Buchholz ordinal]]), \( \Omega_{\omega^2} \) (which is believed to correspond to the [[Bashicu matrix system|BMS]] matrix (0,0,0)(1,1,1)(2,1,1)), or \( \Omega_{\Omega} \) (which corresponds to the [[Bird ordinal]]). It has not been widely studied in the literature, but is common in amateur apeirological discussions, and is known to correspond to the proof-theoretic ordinal of \( \
|