Monday, August 14, 2006

What the difference between a "subset" and a "proper subset"?

Sorry folks, I've been reviewing basic statistics 101, which I haven't really looked at in years - but it is growing too musty to use in reading various articles, so I thought I should review it. My question is a more general one about defining terminology about sets. What is the difference between a subset and a "proper subset"? Grateful if someone can explain this for me!

(Update, Tuesday, August 15, 2006. Thanks to anonymous in the comments! So what I understand is this. If you have a set (1, 2, 3), then another set (1, 2, 3) is a subset of it, but is not a proper subset, because it completely duplicates the elements of the first set. For it to be a proper subset, it would have to leave out at least one element of the initial set, eg, (1, 2) or (2, 3). Okay, this makes sense to me now. The review book I was using wasn't clear about this. Thank you, anonymous.)


Anonymous said...

Any set is a subset of itself, but no set is a proper subset of itself.

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