Dear LizR,

On Monday, January 20, 2014 10:04:38 PM UTC-5, Liz R wrote:
>
> A process which transforms information? 
>

Any! Define information as the distinction between a pair of things that 
makes a difference to a third. The "third" is the witness, it gives us a 
notion of 3p...
 

> Ultimately, digital computation comes down to the NAND operation, I'm 
> told, which means it's a lot of "bit twiddling" which ultimately transforms 
> one lots of bits into another. I guess versions with non-binary data (like 
> DNA I assume?) can be reduced in principle to binary...
>

We could reduce everything to binary, but we would be very inefficient and 
might be making what are actually computable (with a wider definition of 
computable) into intractable ones. (Where did that idea come from, Stephen 
asks himself... Maybe P=NP after all...)

>
> Not sure about the entropy definition. Since nothing reduces entropy 
> globally, I assume you mean only locally... Or at the cosmic scale? The 
> expansion of the universe supposedly reduces entropy, or makes more states 
> available to matter at least (I think it increases the maximum available 
> entropy, as per Beckenstein, rather than reducing it).
>

There is an analogue of Thermodynamics within the computational vision: 
Encryption and decryption operations are not exactly invertible. A one time 
pad encryption, done correctly, transforms text into noise -randomness, 
making it the analogue of entropy. So we say that for closed computations 
noise, increases of is constant.
 

>
> Well, life does that, I guess, temporarily...
>

Indeed! 

>
>
>
> On 21 January 2014 09:17, Alberto G. Corona <[email protected]<javascript:>
> > wrote:
>
>> Computation is understood as whatever made by a digital computer or
>> something that can be emulated (or aproximated) by a digital computer.
>> So everything is a computation. That is a useless definition. because
>> it embrace everything.
>>
>>  Everything is legoland because everything can be emulated using lego
>> pieces? No, my dear legologist.
>>
>> What about this definition? Computation is whatever that reduces
>> entropy. In information terms, in the human context, computation is
>> whatever that reduces uncertainty producing useful information and
>> thus, in the environment of human society, a computer program is used
>> ultimately to get that information and reduce entropy, that is to
>> increase order in society, or at least for the human that uses it.
>>
>> A simulation is an special case of the latter.
>>
>> So there are things that are computations: what the living beings do
>> at the chemical, physiological or nervous levels (and rational, social
>> and technological level in case of humans) . But there are things that
>> are not computations: almost everything else.
>>
>>
>> --
>> Alberto.
>>
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>
>

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