New posts in transfinite-induction

How does one prove transfinite induction in ZFC?

set-theory transfinite-induction

Is there a pathological continuous function $\ f:\mathbb{R}\to\mathbb{R}\ $ that is nowhere increasing or decreasing and has no local extrema?

real-analysis general-topology continuity problem-solving transfinite-induction

What are the most prominent uses of transfinite induction outside of set theory?

set-theory big-list ordinals applications transfinite-induction

Transfinite Induction and the Axiom of Choice

set-theory axiom-of-choice transfinite-induction

Examples of transfinite induction

elementary-set-theory induction ordinals transfinite-induction

Principle of Transfinite Induction

set-theory induction ordinals transfinite-induction