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A counterexample to the infinite version of a

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... 303 and 269 are numerals for identification or nominal numbers since they are used to identify, name, or label. ___ is a numeral for a cardinal number since it answers how many elements are in a set. 2 is a numeral for an ordinal number since it specifies a position in an ordering of a group of obje ...
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... Injections, Surjections and Bijections • Let f be a function from A to B. • Definition: f is one-to-one (denoted 1-1) or injective if preimages are unique. Note: this means that if a  b then f(a)  f(b). • Definition: f is onto or surjective if every y in B has a preimage. Note: this means that fo ...
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Order theory

Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as ""this is less than that"" or ""this precedes that"". This article introduces the field and provides basic definitions. A list of order-theoretic terms can be found in the order theory glossary.
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