query: An example of symmetric transitive relation that is not reflexive on a set of natural numbers $\mathbb{N}$
positive_passages.docid: 143060
positive_passages.text: If a relation is symmetric and transitive, will it be reflexive?
negative_passages.docid: 52861
negative_passages.text: Natural Numbers and Well ordering
negative_passages.docid: 35362
negative_passages.text: Number of equivalence relations on a set
negative_passages.docid: 137921
negative_passages.text: Reflexivity, Transitivity, Symmertry of the square of an relation
negative_passages.docid: 94397
negative_passages.text: Example of a non-splitting exact sequence $0 → M → M\oplus N → N → 0$
negative_passages.docid: 64261
negative_passages.text: example of not surjective isometry on a bounded not closed set.
negative_passages.docid: 109305
negative_passages.text: Non-existence of natural numbers such that $\sqrt{n} +\sqrt{n+1} <\sqrt{x} +\sqrt{y} <\sqrt{4n+2}$
negative_passages.docid: 67554
negative_passages.text: In a group, the number of non-self-inverse elements is even
negative_passages.docid: 72750
negative_passages.text: Uncountable number of mutually disjoint countable sets in $\mathbb R$
negative_passages.docid: 98518
negative_passages.text: Cardinality of equivalence relations on N
negative_passages.docid: 70576
negative_passages.text: Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 108691
negative_passages.text: Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
negative_passages.docid: 129227
negative_passages.text: An example of neither open nor closed set
negative_passages.docid: 79056
negative_passages.text: Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$
negative_passages.docid: 79223
negative_passages.text: Doesn't symmetry and transitivity imply reflexitivity?
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$