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482 bytes removed ,  22:02, March 26, 2007
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The last example is circular (the first three statements simplify to "if P then P").  The first three examples are not circular in the slightest! 
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"one assumes the fact that one is trying to prove".  Take the first example, in that you have assumed:
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1. If P then Q and
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2. P
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If one were trying to establish P the argument would be circular, but one isn't - the conclusion is "Q" which does not form one of the assumptions.--[[User:Toffeeman|Toffeeman]] 18:01, 26 March 2007 (EDT)
 
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