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Shtirlitz [24]
3 years ago
5

The cardinality of the set of positive integer is infinity. (True or False)

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

It is false, because infinity is not a cardinality. The set  N  of positive integers is infinite and its cardinality is, if you wish,  ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set  S  is infinite if and only if there exists a bijection between  S  and a proper subset of  S , i.e. a subset of  S  different from  S . Now the successor function  s:N→N∗  is such a bijection; this follows from Peano’s axioms for arithmetic.

Anestetic [448]3 years ago
7 0

Answer: false

please click thanks and mark brainliest if you like :)

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