query: Bigger infinity than real number infinity
positive_passages.docid: 149853
positive_passages.text: What infinity is greater than the continuum? Show with an example
negative_passages.docid: 73295
negative_passages.text: Limit approaching infinity of sine function
negative_passages.docid: 87356
negative_passages.text: Are there any known uncountable transfinite increasing sequences of real numbers?
negative_passages.docid: 30519
negative_passages.text: "Real" cardinality, say, $\aleph_\pi$?
negative_passages.docid: 43309
negative_passages.text: What exactly is infinity?
negative_passages.docid: 102202
negative_passages.text: The smallest infinity and the axiom of choice
negative_passages.docid: 19777
negative_passages.text: Defining "Countably Infinite"
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: 153935
negative_passages.text: A weaker Axiom of Infinity?
negative_passages.docid: 12547
negative_passages.text: Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
negative_passages.docid: 25788
negative_passages.text: Prove that $i^i$ is a real number
negative_passages.docid: 22423
negative_passages.text: Which infinity is meant in limits?
negative_passages.docid: 79349
negative_passages.text: The Aleph numbers and infinity in calculus.
negative_passages.docid: 120406
negative_passages.text: $f$ strictly increasing does not imply $f'>0$
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 34918
negative_passages.text: Difference between $R^\infty$ and $R^\omega$
negative_passages.docid: 20680
negative_passages.text: Does infinity exist in physical systems?