User:Peter Schmitt/Notes
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- Cardinality [r]: The size, i.e., the number of elements, of a (possibly infinite) set. [e]
- Countable set [r]: A set with as many elements as there are natural numbers, or less. [e]
- In mathematics, a property of sets — see: Countable set (Template loop detected: Template:Def)
- In mathematics, a property of sets — see: Countable set (Template loop detected: Template:Def)
- A set with more elements than there are natural numbers. (See: Countable set.)
- Cardinal number [r]: The generalization of natural numbers (as means to count the elements of a set) to infinite sets. [e]
- Cardinality (size) of the set of all natural numbers.
- (Add definition for aleph-1)
- Greater in size (number of elements, length, area, etc.) than any natural number
- The number of its elements is larger than any natural number. (See: Finite set.)
- Finite set [r]: The number of its elements is a natural number (0,1,2,3,...) [e]
- Bounded (or limited) in size (length, area, etc., or number of elements) by a natural number
- Hilbert's hotel [r]: A fictional story which illustrates certain properties of infinite sets. [e]
- Galileo's paradox [r]: The observation that there are fewer perfect squares than natural numbers but also equally many. [e]