query: Is it wrong to define functions on ordinals?
positive_passages.docid: 152516
positive_passages.text: How do we justify functions on the Ordinals
negative_passages.docid: 151178
negative_passages.text: Is the relation on integers, defined by $(a,b)\in R\iff a=5q+b$, a function?
negative_passages.docid: 104190
negative_passages.text: Can any infinite ordinal be expressed as the sum of a limit ordinal and a finite ordinal?
negative_passages.docid: 28425
negative_passages.text: Constructing a sequence of function
negative_passages.docid: 25525
negative_passages.text: Rule for orderless function Times
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 2030
negative_passages.text: Framing a question whose answer is an ordinal number
negative_passages.docid: 78737
negative_passages.text: How symmetric is the hierarchy of indecomposable ordinals?
negative_passages.docid: 64414
negative_passages.text: Should I treat these ordinal IVs as covariates or factors, in a regression?
negative_passages.docid: 127175
negative_passages.text: How to correctly set functions using `\left(` and `\right)`?
negative_passages.docid: 125204
negative_passages.text: Is the second defined arbitrarily?
negative_passages.docid: 63618
negative_passages.text: Can all ordinals be obtained by taking successors and countable limits?
negative_passages.docid: 36325
negative_passages.text: Embedding ordinals in $\mathbb{Q}$
negative_passages.docid: 12547
negative_passages.text: Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
negative_passages.docid: 102620
negative_passages.text: Confusion about the definition of function
negative_passages.docid: 38726
negative_passages.text: What set theory axioms do I need to believe in uncountable ordinals?
negative_passages.docid: 88149
negative_passages.text: Is calling a linear-equation a linear-function, misnomer or completely wrong?