Aleph-zero dimensions give you aleph-one (=continuum) rational points. And also aleph-one hypercubes.
Since those two numbers are equal, this is not a way to reproduce a paradox in such a space.
Fine, no problem, just another rock with no snake under it. In other words, the ZF has survived another test, as it has survived one billion or so tests before.
As long as you believe, the Yablo’s paradox has nothing to do with the ZF, that it is completely isolated from the ZF, then we have no case against ZF, whatsoever.
Well, I don’t, you guys do believe that the semantics Yablo used, cannot be used against the ZF.
I think that this is a correct and honest description of our disagreement.
Let us stick to the essentials here.
Aleph-zero dimensions give you aleph-one (=continuum) rational points. And also aleph-one hypercubes.
Since those two numbers are equal, this is not a way to reproduce a paradox in such a space.
Fine, no problem, just another rock with no snake under it. In other words, the ZF has survived another test, as it has survived one billion or so tests before.
As long as you believe, the Yablo’s paradox has nothing to do with the ZF, that it is completely isolated from the ZF, then we have no case against ZF, whatsoever.
Well, I don’t, you guys do believe that the semantics Yablo used, cannot be used against the ZF.
I think that this is a correct and honest description of our disagreement.