query: Are there fewer positive integers than all integers?
positive_passages.docid: 141227
positive_passages.text: How to show the integers have same cardinality as the natural numbers?
negative_passages.docid: 39740
negative_passages.text: What is larger -- the set of all positive even numbers, or the set of all positive integers?
negative_passages.docid: 16235
negative_passages.text: Prove by induction that every positive integer is represented by some binary number?
negative_passages.docid: 3378
negative_passages.text: Simplest way to check if two integers have same sign?
negative_passages.docid: 133496
negative_passages.text: is $\sqrt{x}$ always positive?
negative_passages.docid: 81267
negative_passages.text: A simple doubt in number theory problem.
negative_passages.docid: 47611
negative_passages.text: Integers and integer functions
negative_passages.docid: 32524
negative_passages.text: Flawed proof that all positive integers are equal
negative_passages.docid: 50002
negative_passages.text: Find out number of bits needed to represent a positive integer in binary?
negative_passages.docid: 91451
negative_passages.text: find all positive integer $m,n$
negative_passages.docid: 44076
negative_passages.text: Proving if $d_0$ is the smallest positive integer in $S$ then $d_0 = \gcd(a,b)$
negative_passages.docid: 31701
negative_passages.text: Check if two integers have the same sign
negative_passages.docid: 114404
negative_passages.text: For which positive integer values of $n$ does $a|mn-b?$
negative_passages.docid: 84491
negative_passages.text: Finding the smallest positive integer $n$ such that $S_n$ contains an element of order 60.
negative_passages.docid: 11470
negative_passages.text: Divisibility of integers
negative_passages.docid: 122786
negative_passages.text: C: The Math Behind Negatives and Remainder
negative_passages.docid: 34315
negative_passages.text: Rational, integers and probability