A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • one year ago

how do i know if a number a integer whole number or natural number

  • This Question is Open
  1. calculusxy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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 well-ordered, 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

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.