Re: Zen and...Math??

"Gauster" <godelian@xxxxxxxxx> wrote in message
news:8818713.1162001381389.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxxxxx

It's empirically obvious
that anything must be either in S or in N.

I makes sense that the adjective autological is autological.
It also makes sense that the adjective autological is heterological.
On the other hand it doesnΒ΄t make sense that autological can be both
autological and heterological at the same time. Looks like an intersection
of S and N.

Sounds to me like a variant of Russell's Paradox. Here's another one: The word
"short" is short (or reasonably so), but the word "long" is not. So "short" is
self-descriptive and "long" is not. Yet another example: "English" is English,
but "German" is not (it's English). So call an adjective homological (in the
same spirit as your "autological") if it's self-descriptive, otherwise
heterological. Then try "heterological". Either case traps you into a
contradiction.

Besides the fact that these lead to obvious contradictions, there may be
something seriously wrong with your circumstancial conviction of the "it makes
sense" in the above example. What does it mean "/it makes sense/ that the
adjective autological is autological"? It may make sense to you, it doesn't to
me, because you are mixing logical levels. The phrase "autological is
autological" is nonsense. The phrase "'autological' is autological" may make
SOME sense, depending on how you define "autological", after you properly
quote it and differentiate between levels. What does it mean "/it makes sense/
that the adjective autological is heterological"? In short, the whole
paragraph quoted above, is nonsensical to me, without proper qualifiers and
quotes. And even when you add those, the whole scheme leads to a
contradiction.

The same thing happens with the famous card trick, with one side of the card
having the statement "The statement on the other side of the card is false"
and the other side having the statement "The statement on the other side of
the card is true".

If Russell's Paradox makes sense to you in the form you give above, then I
will pass. To me it is nonsense, since it leads to a contradiction either way.
Therefore, it's nonsense altogether, whether you call it "the autological
trick", "the homological trick" or "the card trick". Therefore all of the
above \in N. A contradiction is by definition \in N, as well as anything that
LEADS to a contradiction. And by that I mean THE WHOLE scheme, not just one
sentence of it, which may/may not make partial sense.

Something
either makes sense or it
doesn't. You cannot have neither or both. You claim
that Zen is neither, so by
that statement, Zen is nonsense.

There is far more beyond two-valued logic. Even mathematicians like Brower
claim so.

I am not convinced. The mind is dualistic.
--
Ioannis
-------
Do something unusual today. Pay a bill.

.

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