# Is 0 A Positive Integer?Watch

#1
Alright so basically the question refers to "distinct positive integers", does 0 count as a positive integer?
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2 days ago
#2
No, it's neither positive nor negative.
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2 days ago
#3
(Original post by HowToBeABlobfish)
Alright so basically the question refers to "distinct positive integers", does 0 count as a positive integer?
There isn't a totally clear consensus, so it can depend on context. In the UK, I think it's more common to say 0 is NOT a positive integer than to say it is.

When I was at Cambridge, the consensus seemed to be that 0 was NOT positive and also . But then we also had the slightly contradictary decision that ; explictly, that refered to the set of non-negative integers, not the set of positive integers.
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#4
(Original post by DFranklin)
There isn't a totally clear consensus, so it can depend on context. In the UK, I think it's more common to say 0 is NOT a positive integer than to say it is.

When I was at Cambridge, the consensus seemed to be that 0 was NOT positive and also . But then we also had the slightly contradictary decision that ; explictly, that refered to the set of non-negative integers, not the set of positive integers.
Sozzles do you think you can please translate the 2nd paragraph?
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2 days ago
#5
(Original post by HowToBeABlobfish)
Sozzles do you think you can please translate the 2nd paragraph?
are the Natural numbers; again, people will argue whether the natural numbers start with 0 (i.e. 0, 1, 2, 3, ...) or 1 (1, 2, 3, ...), but the consensus at Cambridge was that they did NOT include 0.

But in that case you often want a way of denoting the set {0, 1, 2, 3, ... }; again at Cambridge this was denoted by . Looking at this, you'd think it was "the set of positive integers", but in fact it was considered to be "the set of non-negative integers".

[To close the circle, people who say that will generally also say that ].
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2 days ago
#6
In the U.S., I was taught that the natural numbers were 1, 2, 3, ..., that the whole numbers were 0, 1, 2, 3, ..., and that the integers were 0, plus or minus 1, plus or minus 2, ...

So 0 is a whole number and an integer, but not a natural number, and it's neither positive nor negative.
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2 days ago
#7
(Original post by anosmianAcrimony)
In the U.S., I was taught that the natural numbers were 1, 2, 3, ..., that the whole numbers were 0, 1, 2, 3, ..., and that the integers were 0, plus or minus 1, plus or minus 2, ...

So 0 is a whole number and an integer, but not a natural number, and it's neither positive nor negative.
Those are my personal conventions, but I have definitely seen people (including authors and lecturers) who disagree - although it's possible the conventions have solidified in the 30odd years since I was an undergrad.
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