Re: Refutation of Bertrand Russell's Barber Paradox

From: David C. Ullrich (ullrich_at_math.okstate.edu)
Date: 06/06/04 

Date: Sun, 06 Jun 2004 09:27:02 -0500

On Sun, 06 Jun 2004 13:58:52 GMT, "Peter Olcott"
<olcott@worldnet.att.net> wrote:

>"Daryl McCullough" <daryl@atc-nycorp.com> wrote in message
>news:c9v4k901oe9@drn.newsguy.com...
>> G. Frege says...
>>
>> >Of course you are right concerning _sound reasoning_; but note that some
>> >logicians call an _argument_ /sound/ if it is /valid/ AND the premisses
>> >are all true.
>>
>> Maybe so, but by that definition, it's impossible to tell whether
>> an argument is sound, or not.
>>
>> --
>> Daryl McCullough
>> Ithaca, NY
>
>(1) If it leads to a contradiction, then it is unsound.
>(2) If the reasoning is incorrectly constructed then it is unsound.
>(3) If any of the premises are false then it is unsound.

We're all able to enumerate the possibilities. _Most_ of us
are even able to figure out that Daryl's point was that it's
impossible to tell whether the premises are true.

(Otoh with the usual definition it _is_ possible to
tell whether an argument is sound.)

************************

David C. Ullrich

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