Math, asked by irumharoon47, 1 month ago

Why are natural numbers infinite and whole numbers finite​

Answers

Answered by mrgoodb62
1

Answer:

author Terence Tao argues that while each natural number is finite, the set of natural numbers is infinite (though has not defined what infinite means yet). Using Peano Axiom, if a property holds for P(0) and whenever P(n) is true, P(n+1) is also true, then it is true for all natural numbers.

Answered by xXMrsBewafaXx
0

Because the set of natural numbers and the set of whole numbers can be put into one-to-one correspondence with one another. Therefore they have the same cardinality. The cardinality of the set of natural numbers is defined as the infinite quantity ℵ0. Therefore the cardinality of the set of whole numbers must be ℵ0.

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