Is $\mathbb{Z}_+ = \{ 0, 1, 2, \dots \}$ or $\mathbb{Z}_+ = \{ 1, 2, \dots \}$?

Question

Is there complete consensus on which of these is true?

Answer 1

most of the time $\mathbb{Z}_{+}$ is taken as $\{1,2,3,...\}$...for other the term $non-negative \ integers$ is used.

Answer 2

These notations haven't an universal agreement and just know for example that the Bourbaki notation for these sets (which's the notation adopted by the French mathematicians among other) is:

• $\Bbb N=\{0,1,2,\ldots\}$
• $\Bbb N^*=\{1,2,\ldots\}$
• $\Bbb Z_+=\Bbb N$