> On 24 Aug 2018, at 00:53, [email protected] wrote:
> 
> 
> 
> On Thursday, August 23, 2018 at 5:55:33 PM UTC, [email protected] wrote:
> 
> 
> On Thursday, August 23, 2018 at 3:28:13 PM UTC, Brent wrote:
> Why don't we all chip in an buy Alan a computer so he can look stuff up on 
> Wikipedia.
> 
> Brent
> 
> I will when you have the courtesy to explain your contradictory statements 
> about the instantaneous, infinite extent of the wf. Oh BTW, with your big 
> brain, I suppose it never occurred to you that I wanted to hear Bruno's 
> definition, which if experience is worth anything, could be wildly DIFFERENT 
> from Wiki. While you assess all that, why don't you go fuck yourself, and 
> then tell us how it felt. OK? AG
> 
> FWIW, comparing Bruno's description with Wiki, which was my intent, confirms, 
> at least for me, that the postulates of QM are easier to understand, even 
> though many of the defining functions of a Turing Machine are known to those 
> who have programmed modern computers, notwithstanding that the latter use 
> random access memory. I don't see why the use of RAM is decisively important 
> in distinguishing a Turing Machine from how modern computers are designed. AG 
>  


You are right. You can see a von Neumann computer as a Turing machine. As the 
set of symbols, and state are arbitrary, you can even see a brain as a Turing 
machine. That is why eventually Gödel accepted Turing’s argument for the 
Church’s thesis.

Note that the wikipedia is often bad on logic or on computation, ...not 
mentioning computationalism. 

Have you understood Cantor’s diagonal proof of the non enumerability of the set 
of infinite sequence, in my yesterday post. If not I can explain again, with 
different notation. There is a real surprise at the end of that thread, you 
will see (I think and hope).

Bruno




> 
> 
> On 8/22/2018 5:58 PM, John Clark wrote:
>> On Wed, Aug 22, 2018 at 8:26 PM, <[email protected] <>> wrote:
>> 
>> >> Yes, the Busy Beaver Function is not computable. We know that:
>> 
>> BB(1) =1
>> BB(2) =6
>> BB(3) =21
>> BB(4) =107
>> 
>> > You haven't *written* the function, just its alleged values for 1,2,3,4.  
>> > What is the function? 
>>  
>> 
>> Starting with a all zero tape BB(N) is the number of operations any N state 
>> Turing Machine performs after it writes the largest number of 1's and then 
>> halts. It is very important that it halt, some machines will go on forever 
>> but they don't count. For example we know for sure that BB(5) is at least 
>> 47,176,870 because one 5 state Turing Machine has been found that halts 
>> after it goes through 47,176,870 operations (and prints 4098 1’s on the 
>> tape), but there are 28 other 5 state machines displaying non-regular 
>> behavior that are well past 47,176,870 operations and 4098 1's. If one of 
>> them eventually halts then that larger number of operations will be BB(5), 
>> if none of them ever halts then 47,176,870 really is BB(5); but the trouble 
>> is we'll never be able to know it’s 47,176,870 because we'll never know that 
>> none of those other 28 5 state machines will never halt because the Halting 
>> problem is insolvable.
>> 
>> John K Clark 
>> 
>> 
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