query: Ordinals and functions
positive_passages.docid: 154230
positive_passages.text: In $\mathsf{ZF}$, for each set $A$ exists an ordinal $\alpha$ such that no surjection $A\to \alpha$ exists
negative_passages.docid: 63115
negative_passages.text: If $\alpha$ is an indecomposable ordinal, why $\Gamma(\alpha\times{\alpha})=\alpha$?
negative_passages.docid: 149789
negative_passages.text: Using a function in two different ways
negative_passages.docid: 13491
negative_passages.text: Ordinal data in regression?
negative_passages.docid: 63618
negative_passages.text: Can all ordinals be obtained by taking successors and countable limits?
negative_passages.docid: 74453
negative_passages.text: Injective and Surjective Functions
negative_passages.docid: 55978
negative_passages.text: Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
negative_passages.docid: 106415
negative_passages.text: Can binary data be ordinal?
negative_passages.docid: 149575
negative_passages.text: Order and degree of a differential equation
negative_passages.docid: 73850
negative_passages.text: Cardinality of set of functions
negative_passages.docid: 70515
negative_passages.text: Recursion and Counting
negative_passages.docid: 39880
negative_passages.text: Cardinality of Orderings of $\mathbb{R}$
negative_passages.docid: 28425
negative_passages.text: Constructing a sequence of function
negative_passages.docid: 63149
negative_passages.text: Notation for functions vs. numbers
negative_passages.docid: 100378
negative_passages.text: Are there "All" and "Any" functions in Mathematica?
negative_passages.docid: 98612
negative_passages.text: Is it possible to implement an equivalent syntax of (*x {\f(x)}) but the ordinate is specified first?
negative_passages.docid: 137768
negative_passages.text: Limit Ordinal Question