On 24 Oct 2013, at 18:53, Craig Weinberg wrote:



On Thursday, October 24, 2013 10:16:55 AM UTC-4, Bruno Marchal wrote:

On 23 Oct 2013, at 20:07, Craig Weinberg wrote:



On Wednesday, October 23, 2013 12:34:05 PM UTC-4, Bruno Marchal wrote:
<snip>
"My problem is that you need
to do the math to evaluate how much seriously you can take this remark."

Under comp, why couldn't I just imagine tasting the flavor of the math instead?

With comp, when you test the flavor of coffee, you do, actually, test the flavor of some math.

That's what I am saying. It would have to be the case under comp. My point though is that it is absurd. Tasting something gives us no mathematical understanding.

It does. It might teach you what math looks like from inside. Or you beg the question. keep in mind I don't argue for comp, but you are arguing against comp, so it is up to you to give some argument that testing a flavor cannot be a mathematical phenomenon.




The understanding that flavor does provide is the opposite of math. It is immediate

Thanks to many cells doing a work learned through a very long time, may be. It seems immediate, but the evidences (brains) is that it is not.



(although develops briefly through time as well), it is irreducible to anything other than flavor, and it does not consist of 'stepped reckoning' of any kind, it is an aesthetic gestalt.

OK. No problem with this in the comp theory. That's the point of the limitation theorems. Some truth can be accessible by machine, without them having to do any hard work.





But you test it from the inside of math, and so it looks different from the math we learn at school. That it looks different is explainable by any Löbian machine,

Taste doesn't look like anything though, and it cannot ever look like anything. If it did, then it would be vision. If it could be vision, then it would be profoundly redundant to have both senses of the same data...(assuming that Santa Claus has brought the possibility of senses to begin with.)

and can be understood intuitively with some training in the comp thought experiment. The difference are accounted by the intensional nuance of Gödel's provability.

I don't think it is. It seems clear to me that any mechanical accounting of sense implicitly takes sense for granted from the start. There is no functional difference between sight, smell, feeling, hearing, etc. There is no intensional nuance that ties to the possibility of any one of them - only a grey box where something like virtual proof could theoretically live.

I can relate to your feelings, but I don't see why a machine could not too. You just assert it, but you don't really provide an argument.

You do point on a difficulty, but a difficulty is not an impossibility, especially that computer science already explains why machines will find that difficult too, for their own accessible truth spectrum.

Bruno



Craig


Bruno


http://iridia.ulb.ac.be/~marchal/




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