<unk> <unk> <unk> <unk> <unk>  Passage: Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this goal leads to difficult mathematics. ️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️ ️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️ Computerized algebra systems can be used to list small groups, but there is no classification of all finite groups.<unk> Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.<unk> Computer algebra systems can be used to list small groups, but there is no classification of all finite groups. ️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️ ️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️ The Jordan-Hölder theorem exhibits finite simple groups as the building blocks for all finite groups. ️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️<unk>️ 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relationship between the largest finite simple sporadic group<unk>the "monster group"<unk>and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.  Question: What is one of the Mathematicians desires?<unk>Question: What is one of the Mathematicians desires?
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