On 22 Jan 2013, at 12:36, Roger Clough wrote:
Hi Bruno Marchal
"God, matter, consciousness are never computable"
Is that because the above are nonphysical ?
Matter is physical, by definition, yet non computable. This follows
from the UD Argument.
If consciousness is not computable, can ideas be computable ?
Yes. Most of them are (the programs, the monads).
I'm totally lost. I don't even understand how ANYTHING other
than numbers can be computable.
Strings of letter are not number, but the operation of concatenation
is computable ( a + baba = ababa).
Look at your computer, you see mails, letters, etc. Not number, yet
all what you do with your computer (like sending a mail) are
Suppose you do a computation. You get a number or a bunch of numbers.
How can you say what they mean ?
By remembering the definitions, the axioms I am assuming, etc. I don't
see the problem. If you refer to the qualia, this is explain by the
peculiarity of the logic of machines self-reference: when machine
introspect they can understand things, without completely
understanding the understanding process itself. It is normal, but it
needs a bot of computer science and mathematical logic to get the
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