From: Paul S. Dixon (dixonps@juno.com)
Date: Wed Aug 19 1998 - 13:35:48 EDT
On Wed, 19 Aug 1998 22:16:36 +1200 "Trevor and Margaret Nicholls"
<tmjpbn@ihug.co.nz> writes:
>
>Paul Dixon wrote:
>> In summary, there is a conflict between 1 Cor 11:5 and 1 Cor 14:34-45,
>> only if one assumes the negation of 1 Cor 11:5. As you well know,
>> the negation of a conditional is not a valid inference. "If A, then
>> B" does not imply "if not A, then not B." 1 Cor 11:5 says, "she who
>> prays or prophesies with her head uncovered shames her head."
>> This does not imply, as most usually erroneously infer, the negation:
>> she who prays or prophesies with her head covered does not shame her
>> head.
>
>At the risk of lapsing into symbolic logic and not Greek, IMHO Paul (D)
>has oversimplified the construction of Paul (the Ap).
>Note that his "A" is itself a compound (i.e. A = prays or prophesies and
>not head covered). Better is
>
>if A and not B, then C
>
>where A = prays/prophecies
> B = head covered
> C = head shamed
>
>Now there are three possible converses
>if A and B then not C ?? -- this is Paul D's only proposition
>if not A and not B then not C ??
>if not A and not B then not C ??
We are not talking about converses here, but negations.
Using your notation, 1 Cor 11:5 may be denoted:
If A and not B, then C.
The negation usually inferred from this is:
If A and B, then not C.
The negation of the first statement (If A and not B, then C)
is techically: if not (A and not B), then not C. This may appear
as either:
If A and B, then not C.
If not A and not B, then not C, or
If not A and B, then not C.
Any of the above three are negations of the original conditional,
and may not be inferred from it.
>Given that both B and C involve the head, the interpretation
>which most of us "erroneously infer" is not so stupid, methinks.
That B and C both involve the head has nothing to do with affirming
the truthfulness of the negation.
I would not call such a misinference "stupid," just an oversight.
If any wish to continue this discussion, we should probably do so
off-list.
Paul Dixon
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