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I know positive integers are 1,2,3,4,....;and the sequence of whole numbers are -3,-2,-1,0,1,2,3,...;But the Natural numbers start with one 0r zero ?


marked as duplicate by kingW3, Daniel Fischer Feb 15 '15 at 12:50

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  • $\begingroup$ That depends on the used convention. Some prefer $0\in\mathbb{N}$, others prefer $0\notin \mathbb{N}$. $\endgroup$ – Daniel Fischer Feb 15 '15 at 12:46
  • $\begingroup$ So both of them are absolutely correct? $\endgroup$ – Norak Banges Feb 15 '15 at 12:48
  • $\begingroup$ Yes, and both are absolutely wrong (from the perspective of the other convention). $\endgroup$ – Daniel Fischer Feb 15 '15 at 12:50
  • $\begingroup$ It is like calling a table a table, it's just a matter of convention. You could call a horse a table, it would be another convention. Except that then, you could maybe have issues with a vast majority of people not adhering to this convention. It is really sad to see what intellectual struggle has been made to accept $0$ as an element of $\mathbf{N}$ to still see the debate on wheter $0\in\mathbf{N}$ or not. $\endgroup$ – ujsgeyrr1f0d0d0r0h1h0j0j_juj Feb 15 '15 at 12:53
  • $\begingroup$ In my country 1,2,3,4,5,....is called asli numbers,and 0,1,2,3,4,... is called cacah numbers. $\endgroup$ – Norak Banges Feb 15 '15 at 13:06