2014-06-18 10:40 GMT+02:00 LizR <lizj...@gmail.com>:

> Changing Olympia to a machine that computed non-Turing-Computable
>> functions would be a trivial matter: one would need to change only the
>> value stored in the oracle, not the computational activity Olympia
>> performs.
>> In contrast, no Turing Machine could be so trivially upgraded: no amount
>> of fiddling with machine tables will suffice to improve a TM to Trurl’s
>> level.
>
>
> Is this what yo mean? I don't see how whatever value is stored in the
> oracle is non-Turing-Computable, surely the Oracle just stores a (very
> large) number which is equivalent to the result of a particular computation?
>

The example he uses is a lookup containing the halt/no halt for every
program...  you cannot construct this lookup in the first place without
having an oracle that give this answer and allow you to construct it... so
yes if you have such a lookup, the lookup plays the role of an oracle...
that doesn't mean every lookup is an oracle.

Quentin


> Or does it???
>
>
>
> On 18 June 2014 18:37, Quentin Anciaux <allco...@gmail.com> wrote:
>
>> It seems to me Olympia is a simple table lookup for the input, the
>> argument he uses to place it in the oracle camp seems invalid to me, he
>> posits that he is able to construct a lookup table that contains the result
>> of the halting problem... and because such table is a lookup table, all
>> lookup tables are then oracle... that doesn't seem correct to me.
>>
>> Regards,
>> Quentin
>>
>>
>> 2014-06-18 7:23 GMT+02:00 meekerdb <meeke...@verizon.net>:
>>
>>  Bruno, I wonder if you're aware of this critique of Maudlin's Olympia
>>> argument, which of course also applies to the MGA?
>>>
>>> http://www.colinklein.org/papers/OlympiaOMachines.pdf
>>>
>>> Brent
>>>
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>>
>>
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