query: Why doesn't the Continuum Hypothesis show that $\text{ZFC}$ is simply consistent?
positive_passages.docid: 147874
positive_passages.text: Why does the existence of independent statements not prove consistency?
negative_passages.docid: 38221
negative_passages.text: What is wrong with this proof there is no $\omega$-th worldly cardinal
negative_passages.docid: 140531
negative_passages.text: Why continuum function isn't strictly increasing?
negative_passages.docid: 120188
negative_passages.text: Why is the real line not used in Descriptive Set Theory?
negative_passages.docid: 137982
negative_passages.text: Show that $\textbf{ZF}$ shows $\phi$ is $\Delta_1$
negative_passages.docid: 38764
negative_passages.text: bound on the cardinality of the continuum? I hope not
negative_passages.docid: 118390
negative_passages.text: Symbol for the cardinality of the continuum
negative_passages.docid: 128843
negative_passages.text: Rolle's Theorem Contradiction
negative_passages.docid: 106342
negative_passages.text: Why $L$-structures cannot satisfy a contradiction
negative_passages.docid: 37585
negative_passages.text: What would happen if ZFC were found to be inconsistent?
negative_passages.docid: 118883
negative_passages.text: If $\lambda_{max} = n$, then $n\times n$ positive, reciprocal matrix A is consistent
negative_passages.docid: 56567
negative_passages.text: Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$
negative_passages.docid: 79223
negative_passages.text: Doesn't symmetry and transitivity imply reflexitivity?
negative_passages.docid: 24688
negative_passages.text: Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?
negative_passages.docid: 12449
negative_passages.text: How to formulate continuum hypothesis without the axiom of choice?
negative_passages.docid: 73415
negative_passages.text: The reason why the existence of inaccessible cardinals cannot be proven in ZFC
negative_passages.docid: 132701
negative_passages.text: Contradicting Fubini's theorem