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Old 10 January 2013, 01:24 AM
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erwins erwins is offline
 
Join Date: 04 April 2006
Location: Portland, OR
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No, they don't mean the same thing. "Assuming x" expressly declared, means that you are discussing a hypothetical case where "x" exists, or is true. You are declaring a premise, but you aren't saying that you believe it to be true--you're saying if it's true, then ___ follows. You may or may not actually believe it to be true. You are not declaring x to be something that is, in general, not subject to requirements of evidence and proof.

"Taking x on faith" means that you are declaring x to be true, or to exist, without any/sufficient proof. That is, you do actually believe x, without actual proof. Further, by declaring that you are taking it on faith, you are declaring that you do not require proof of x--you simply believe it.
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