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-rw-r--r--ordinal-zoo.tex7
1 files changed, 3 insertions, 4 deletions
diff --git a/ordinal-zoo.tex b/ordinal-zoo.tex
index 5e796a1..0f94365 100644
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@@ -125,10 +125,9 @@ variables.
for an appropriate collapsing function $\psi$). This is the range of
the Veblen functions with up to that many variables.
-\ordinal The Bachmann-Howard ordinal ($\psi(\varepsilon_{\Omega+1}) =
-\psi(\Omega_2)$ for an appropriate collapsing function $\psi$). This
-is the proof-theoretic ordinal of Kripke-Platek set
-theory ($\mathsf{KP}$).
+\ordinal The Bachmann-Howard ordinal ($\psi(\varepsilon_{\Omega+1})$
+for an appropriate collapsing function $\psi$). This is the
+proof-theoretic ordinal of Kripke-Platek set theory ($\mathsf{KP}$).
\ordinal The countable collapse of $\varepsilon_{\Omega_\omega + 1}$
(“Takeuti-Feferman-Buchholz ordinal”), which is the proof-theoretic