query: What does a "well ordering on $\Bbb R$" mean?
positive_passages.docid: 15966
positive_passages.text: A way to well-order real line
negative_passages.docid: 82009
negative_passages.text: Prove that every totally ordered set has a well-ordered cofinal subset
negative_passages.docid: 70196
negative_passages.text: Is there any well-ordered uncountable set of real numbers under the original ordering?
negative_passages.docid: 127233
negative_passages.text: Cardinality of order types in $\mathbb{N}$
negative_passages.docid: 31113
negative_passages.text: Why is normal ordering a valid operation?
negative_passages.docid: 81890
negative_passages.text: What does $2^{\mathbb R}$ mean?
negative_passages.docid: 85713
negative_passages.text: Showing Parallelism is an equivalence relation in $\Bbb R ^2$
negative_passages.docid: 86623
negative_passages.text: Why is $B^TB+\lambda\Omega$ positive definite?
negative_passages.docid: 118012
negative_passages.text: Meaning of different Orders of Derivative
negative_passages.docid: 132193
negative_passages.text: Why $\Bbb Z$ = (integers) is an integral domain?
negative_passages.docid: 122684
negative_passages.text: How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)
negative_passages.docid: 140829
negative_passages.text: What does $b_i\mid b_{i+1}$ mean in this context?
negative_passages.docid: 98331
negative_passages.text: Show that if $ab$ has finite order $n$, then $ba$ also has order $n$. - Fraleigh p. 47 6.46.
negative_passages.docid: 67760
negative_passages.text: Should eigenvalues be ordered?
negative_passages.docid: 37061
negative_passages.text: The order of $ab$ when $a,b$ commute
negative_passages.docid: 61226
negative_passages.text: Group Structure on $\Bbb R$
negative_passages.docid: 16553
negative_passages.text: Cardinality of the set of all total orders on $\Bbb{N}$