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This statement seems to me to exemplify a deficiency in the way mathematicians think. Currently accepted canons of logical rigor will bless this assertion, but nonetheless mathematicians are thinking about something differently when they call it an index set than when they call it a domain of a
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Here is problem with part denoted "indicator function", such that function here described corresonds to comparing of two elements in the set, but this function does not says anything abou appearance of some element of set in the (some) its subset in any case. Please fix this ambiguity
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I couldn't figure out what an index set was until I read the statement above; it really solidified it for me. Though, I'm no mathematician. I do think the statement could help those of us who don't already know set theory, even if the statement isn't entirely true. -- Toper
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A family and the set of all elements of the family are certainly distinct. The first one is ordered (at least if the index set is ordered) and the second one is not. So I don't think it's a good idea to use the same notation for both.
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I agree with Hardy that defining an index set as a function domain, while technically correct, is very unilluminating. I tried to rewrite this article so that it makes more sense. --
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Furthermore the title and the disambiguation page are misleading, this page is mainly not about the index set but about the index
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No, it's not an error. It's like the difference between a lessor and a lessee: they're at opposite ends of a relationship. —
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function. Everyone can explain the difference if they think about it, but only when speaking "informally".
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I think there is a difference, and it is inappropriate to call any index set a function domain, because
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This is self contained section and contains useful information. So, not a good idea to merge them.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Hardly 'brilliant prose', I'd agree. And just the same point as could be made about
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is the mapping, and not the codomain of the mapping. I'll change the article.
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link to different articles on
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set or family. Markus
Schmaus -- 21:56 3 Jun 2005 (UTC)
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