Logic is all well and good but reason has its limits. Every logical argument must be premised (if you drill far enough down) on un proved/ unprovable assumptions.
The best way to defeat or at least undermine ANY logical case is to search for these assumptions and put them into question.
Also, logically speaking. If all logical argument rests on unprovable (ontological/ a priori assumptions) then surely logic is unable to prove anything??


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Not that I'd ever dream of doing so I'd best add!

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