What was the signifignace to "number 10".

is there any interesting facts on it?

http://www.google.com/search?q=federalist+papers+10&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a

Let us know what you come up with, and someone here will be happy to comment on your ideas.

what does he mean by "there are two methods of curing the mischiefs of faction: one, by removing its causes; the other by controlling its effects"

what causes? what effects?

If you go into this one -- http://www.foundingfathers.info/federalistpapers/fed10.htm -- and use Ctrl + F (for "find) and then type in faction, you'll find references. Read all the sentences around each instance of that word. Causes and effects are discussed.

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