Originally Posted by
Jeff Neese
With all due respect to your credentials as an English teacher, I'm not sure that's technically correct.
You can have a group of chess pieces, that are not a set. You can have a group of bicycle parts that are not a groupset. Conversely, I think we can have a set of something that is not a group. A single set of salt and pepper shakers come to mind. But if you collect salt and pepper shakers, you would have a group of salt and pepper sets.
The words set and group have slightly different meanings, even if the difference is somewhat nuanced.
a
group is a set with an operation that satisfies the following constraints: the operation is associative and has an identity element, and every element of the set has an inverse element.
You guys are making me go back to my number theory/language theory class days.
scott s.
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