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anonymous
 one year ago
how do i know if a number a integer whole number or natural number
anonymous
 one year ago
how do i know if a number a integer whole number or natural number

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0"You should be aware that some definitions of ℕ include zero. In and of itself, this isn't serious since the properties of the set are preserved: there is a bijection between ℕ with zero and ℕ without zero, both are wellordered, etc (effectively we've done nothing but "relabel" the elements). Only when we start adding structure to these elements does the distinction become important  e.g. we might make 0 an additive identity. Therefore, when one writes ℕ in such a scenario (most scenarios), then it should be made clear which definition the author intends. Now, if we take both to mean the set {1,2,3,⋯}, then whether one writes ℕ or ℤ+ ultimately doesn't matter at all. However, using ℤ+ can remove confusion since ℤ+ definitively does not include zero, and we would not have to go out of our way defining ℕ."  Kaj Hansen, Math.Stackexchange.com
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