Slow Cauchy sequences allow most one-dimensional real analysis to be carried out in weak systems conservative over RCA0, equating results like Bolzano-Weierstrass to the infinite pigeonhole principle instead of arithmetical comprehension.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Avoiding logical strength in real analysis
Slow Cauchy sequences allow most one-dimensional real analysis to be carried out in weak systems conservative over RCA0, equating results like Bolzano-Weierstrass to the infinite pigeonhole principle instead of arithmetical comprehension.