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This tag is for questions about proving that some statement is independent from a theory, meaning it is neither provable nor refutable from that theory. Common examples are the continuum hypothesis from the axioms of ZFC, and the axiom of choice from the axioms of ZF.

6 votes
1 answer
268 views

$\omega_2$-sequence of Suslin trees

Is it possible to have an $\omega_2$-length sequence of ($\omega_1$-)Suslin trees such that if one builds the product of finitely many trees in that sequence, one ends up with a Suslin tree again? Th …
Stefan Hoffelner's user avatar
3 votes

Formal proof of Con(ZFC) => Con(ZFC + not CH) in ZFC

The usual strategy to prove that the negation of $CH$ is consistent with $ZFC$ is the following: One shows (under the assumption $Con(ZFC)$ that for any finite fragment $T$ of $ZFC$ we have that $T+ …
Stefan Hoffelner's user avatar