what is difference b/w natural numbers and positive integers?

Question

unklerhaukus · Answer

they are the same

anonymous · Answer

SAME THING.

dape · Answer

The natural numbers includes the number 0 in most definitions.

anonymous · Answer

then why they give different names?

anonymous · Answer

is @dape is correct?

anonymous · Answer

@dape  I never seen such definition of natural numbers

anonymous · Answer

thats what make me confusing

dape · Answer

You can define it both ways, most common in higher mathematics is to include 0 though (in my experience at least).

unklerhaukus · Answer

most definition of the natural numbers i have seen do not include zero

anonymous · Answer

hold your horses and give me appropirate answer

dape · Answer

It doens't matter though, you can define them however you want as long as you specify what you mean by the natural numbers when you use them.

dape · Answer

I think it's a lot clearer to just say positive integers for the set {1, 2, ...}, since everybody agrees on that.

anonymous · Answer

give me domain of both natural numbers and positive integers

unklerhaukus · Answer

The most appropriate answer is that that question is ambiguous, because conflicting   definitions for whole numbers are widely used.

the answer is either
   that the the sets are the same 
   and hence the difference is zero
or 
  that the sets are different in that the whole numbers inclue the term zero
  so the difference would be the term zero

anonymous · Answer

ok i got it

dape · Answer

It's important to remember that many things in math are just names. The definitions of most names used mathematicians agree on, this is a just case where they don't.