SWM wrote: >Joseph Polanik wrote: >>>Your "proof" did not prove anything. It merely showed a series of >>>relationships which, if they obtained, lead to a certain conclusion >>that's what a proof is. >A syllogistic type proof has a logical form but the form is empty >without content ... precisely. a formal proof is a proof that the syntax of that logical form is valid. >and therefore proves nothing. wrong. what is proved is that a particular sequence of syntactic transformations is valid; meaning, done according to the rules. >You are confusing form with substance. no, you are confused. you are still expecting syntactic manipulations to generate semantic content (understanding, meaning, intentionality or whatever). >I think you are so enthused with the idea of "formal proof" that you >forget that it's empty by definition. you are so enthralled by the illusion of getting semantics from syntax that you forget that a formal proof is supposed to be syntactic not semantic. Joe -- Nothing Unreal is Self-Aware @^@~~~~~~~~~~~~~~~~~~~~~~~~~~@^@ http://what-am-i.net @^@~~~~~~~~~~~~~~~~~~~~~~~~~~@^@ ========================================== Need Something? Check here: http://ludwig.squarespace.com/wittrslinks/