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1 also belongs to 'all integers from 1 through 10'. Is this also a category? (I assume yes). How is this category expressed in Luna?


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some of it is integer

In a way that an integer is not?

Ah, yes. But I was thinking of all the integers.

I know, I should have read the OP but I was too lazy.

Really cheeky, though :)


... I was using that nomenclature for the short hand of "inclusive/exclusive". 1 to 9 exclusive is 1 to 8 in the integer set. Sorry for the lack of clarity. Perhaps now we can get to my original point?

1 is an integer, a rational number, a positive integer, an odd integer, a power of 2, etc.

All numbers are equal to 1 in a number base of themselves.

My bad. I was thinking A, B, and C were integers.

well, 2.1 isn't an integer.

or even restrict to integers?

Then we can all be in the club!


Oops, I meant integers form a group. Minor mistake.

It shouldn't be a subclass of int. http://arxiv.org/abs/math/9205211

> yet must represent numbers from 10^38

No, they don't must represent all number in the range. I don't know where you get from that they must. An integer also can't represent all real numbers in its range.


I think you maybe meant to say “integer”?

There is a 1-to-1 mapping between integers and rationals.

But we're working in the integers, so 1/2, for example, doesn't exist.

Well obviously. That idea is not (IMO) worthy of a news post. But it doesn't say that the integers are distinct. I'd be interested to hear if it was possible to store numbers in general better than above.

Yes. (1,1) is a pair of integers, and so is (17,17). Why wouldn't they be?

It's legal for both cardinal and ordinal numbers, as well as slightly more exotic number types.

https://en.wikipedia.org/wiki/Infinity_plus_one


Does everyone understand something I don’t about #1? It never said they were unique integers.
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