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I don't grok the syntax (Score:2)
OK, I'm at a loss here. Naturals don't form a ring because they lack the number zero? Is that right? If so, that seems straightforward enough. However, I don't know what you mean when you wrote that even though Naturals are rings, you seem to have proven they are. I certainly don't know what that means in relation to the code you posted.
Taking a guess, it seems what you're saying is that for a given set S which satisfies condition C, no arbitrary subset of S is necessarily guaranteed to satisfy C but
Re:I don't grok the syntax (Score:1)
> number zero?
This is somewhat beside the point, but that is one reason, yes. The other reason is that there are elements (namely, all of them
> Taking a guess, it seems what you're saying is
> that for a given set S which satisfies condition
> C, no arbitrary subset of S is necessarily
> guaranteed to satisfy C but you've accidentally
> implied that in your theory.
Precisely. It turns out that that's h