query: Is Abbott's Proof of the Uncountabilty of Real Numbers too strong?
positive_passages.docid: 60722
positive_passages.text: Why does Cantor's diagonal argument not work for rational numbers?
negative_passages.docid: 18360
negative_passages.text: Proof that the irrational numbers are uncountable
negative_passages.docid: 5035
negative_passages.text: Can unprovability unprovable? Is there an $\omega$-fold unprovability?
negative_passages.docid: 6396
negative_passages.text: If two limits don't exist, are we sure the limit of sum doesn't exist?
negative_passages.docid: 102307
negative_passages.text: Discrete Math Proofs Involving Real Numbers
negative_passages.docid: 108748
negative_passages.text: Why there are real numbers with infinite digits, but no such natural numbers (or another reason why real numbers are uncountable)
negative_passages.docid: 80920
negative_passages.text: Prove or disprove: For any $v\in\mathbb{R}^n, \|v\|_1\|v\|_\infty \leq \frac{1+\sqrt{n}}{2}\|v\|_2^2$
negative_passages.docid: 100399
negative_passages.text: A doubt with a part of a certain proof.
negative_passages.docid: 60810
negative_passages.text: Taylor's polynomial uniqueness proof - why are these limits inferable?
negative_passages.docid: 139176
negative_passages.text: The real line is not homeomorphic to any non-trivial product space
negative_passages.docid: 121161
negative_passages.text: Let S be the set of all real numbers in the interval (0; 1) whose decimal expansions contain only 0's, 4's and 8's. Prove that S is uncountable.
negative_passages.docid: 54262
negative_passages.text: When are infinities okay?
negative_passages.docid: 56682
negative_passages.text: Real analysis contradiction I cannot get rid of
negative_passages.docid: 145466
negative_passages.text: Is this a valid mathematical proof?
negative_passages.docid: 30519
negative_passages.text: "Real" cardinality, say, $\aleph_\pi$?
negative_passages.docid: 114043
negative_passages.text: Prove the existence of a real number satisfying a property
negative_passages.docid: 21431
negative_passages.text: The set of all functions from $\mathbb{N} \to \{0, 1\}$ is uncountable?