[Wittrs] In a Logical Proof, Don't Expect Semantics from Syntax!

  • From: Joseph Polanik <jpolanik@xxxxxxxxx>
  • To: wittrsamr@xxxxxxxxxxxxx
  • Date: Sun, 02 May 2010 11:12:35 -0400

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


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