fix: proofread Set Theory I part - #337
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Minor corrections in the Set Theory I part (ZFC, Ordinals, Cardinals):
- zfc: fix stray comma in Cantor diagonal exercise ("if, $\iota$ exists")
- zorn-lemma: fix grammar in Cauchy FE problem statement
("possible for $f$ is nonconstant" -> "possible that $f$ is nonconstant")
- cardinal: remove stray space in subscript ($\aleph_ 0$ -> $\aleph_0$)
- cardinal: correct example title "Beth fixed point" -> "Aleph fixed point",
since the example concerns the aleph function ($\kappa = \aleph_\kappa$),
not the beth function
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01JYnQwxZGUNjX354EBzZoRN
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This PR proofreads the Set Theory I: ZFC, Ordinals, and Cardinals part (issue #315), covering:
tex/set-theory/zorn-lemma.textex/set-theory/zfc.textex/set-theory/ordinal.textex/set-theory/cardinal.texAll the substantive mathematics checks out — the bijection tables ($\omega+1 \approx \omega$ , $\omega \approx \omega^2$ ), ordinal/cardinal arithmetic constructions, the von Neumann hierarchy computations ($V_3 = {0,1,2,{1}}$ ), and the $\kappa \cdot \kappa = \kappa$ proof with its $<_{\max}$ enumeration table all verify correctly.
Only a few minor issues were found and fixed:
zfc.tex: stray comma in the Cantor diagonal exercise — "Show that if,zorn-lemma.tex: grammatical slip in the Cauchy functional-equation problem — "It's possible forcardinal.tex: stray space inside a subscript,cardinal.tex: the example titled "Beth fixed point" actually concerns the aleph function (No large mathematical errors were found.
🤖 Generated with Claude Code
https://claude.ai/code/session_01JYnQwxZGUNjX354EBzZoRN
Generated by Claude Code