A Problem Is Called Closed If Its Negation Is Open

#Topology #Math #Continuumhypothesis #Settheory #Clopen

https://sciencehumor.io/math-memes/a-problem-is-called-closed-if-its-negation-is-open-xa6z

There must be a compromise option... #ContinuumHypothesis https://twitter.com/cakotz/status/1129653177463263232

So the question now is, where did I break from ZFC in proving this? Because it's supposed to be unprovable within the ZFC framework. Was it, perhaps, by noting the strings referring to the values? #continuumhypothesis #generalizedcontinuumhypothesis

Quasi-continuous function on (0,1): f(x) = x, except where the expression base 2 has every-other digit swapped with the prior digit. Less continuous than R\Q because discontinuities exist everywhere upon a continuous space of definiton and not just on Q. "Automeris i/o."

#continuumhypothesis