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Re: [lojban-beginners] Conditionals--da'i etc.



Really?  "pigs can fly" seems like a physical impossibility, not a logical one.  I've always heard it "if (x and not x) then the moon is made of green cheese".

On Fri, Apr 30, 2010 at 10:01 AM, Ian Johnson <blindbravado@gmail.com> wrote:
So nibli is not defined using the classical implication, then? Because in the classical implication "pigs can fly implies that the sky is green" is (assuming that we haven't done something really bizarre to the pigs) true.


mu'o mi'e latros.
 
2010/4/30 Jorge Llambías <jjllambias@gmail.com>

On Thu, Apr 29, 2010 at 8:03 PM, Ian Johnson <blindbravado@gmail.com> wrote:
> Related question: how is nibli defined, exactly? Based on what I've learned
> in logic-heavy math classes, this should be true:
>
> .i lo du'u broda cu nibli lo du'u brode .ijo ganai broda gi brode
>
> Is it?

Not really. The nibli-statement on the left is a much stronger
statement than the material implication connective on the right.

Suppose:

broda = Eyjafjallajökull is a volcano in Iceland.
brode = Paris is the capital of France.

Both "broda" and "brode" happen to be true, so "ganai broda gi brode"
is also true.

But "lo du'u broda cu nibli lo du'u brode" says that starting from
"broda", and applying the logical rules of inference (implicit in the
x3 of nibli, let's assume the usual ones) then you can infer "brode".
But you can't really infer "Paris is the capital of France" from
"Eyjafjallajökull is a volcano in Iceland".

mu'o mi'e xorxes

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