On 05 Apr 2013, at 16:30, Jason Resch wrote:
On Fri, Apr 5, 2013 at 8:41 AM, Bruno Marchal <marc...@ulb.ac.be>
wrote:
On 05 Apr 2013, at 00:07, Craig Weinberg wrote (to Jason)
There are algorithms for implementing anything that does not
involve infinities.
Why do you think so? What algorithm implements purple or pain?
What make you think that purple or pain don't involve infinities?
(Also, many algorithm does involve infinities. Machines can provide
name for ordinals up to the Church-Kleene omega_1^CK ordinal, and
they can reason in ZF like any of us.
I don't see why computers cannot beat the humans in the naming of
infinities, even if that task can be considered as the least
algorithmic one ever conceived by humans).
I should clarify what I meant by infinities. I meant there are
algorithms that for computing anything that can be solved which does
not require an infinite number of steps or infinite precision to do
so. So unless infinite precision or infinite steps are required to
emulate brain behavior, a computer should be capable of expressing
all outwardly visisble behaviors any human can. (Craig has disputed
this point before)
OK, I guessed so.
Bruno
http://iridia.ulb.ac.be/~marchal/
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