List, John: > On Sep 27, 2018, at 9:25 PM, John F Sowa <[email protected]> wrote: > > Pure mathematics has infinitely many theories. > If you only want a restricted version, it has that also.
Fine. If you wish to hypothesize that pure mathematics can generate large categories of theories, I will grant you that that is readily conceivable. Meaningless theories, no matter how many, are all of the same type, that is, meaningless. Applied mathematics must necessarily be a correspondence relationship between meaningful symbols and meaningless symbols. I published this argument more than twenty years ago. One only needs one theory to establish a correspondence relationship between the facts associated with chemical symbols and the facts associated with mathematical symbols. Cheers Jerry
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