On Thursday, June 20, 2019 at 5:58:44 AM UTC-5, Bruno Marchal wrote:
>
>
> On 20 Jun 2019, at 12:44, Philip Thrift <[email protected] <javascript:>> 
> wrote:
>
>
>
> On Thursday, June 20, 2019 at 5:10:56 AM UTC-5, Bruno Marchal wrote:
>>
>>
>> On 19 Jun 2019, at 12:42, Philip Thrift <[email protected]> wrote:
>>
>>
>>
>> On Wednesday, June 19, 2019 at 5:04:26 AM UTC-5, Bruno Marchal wrote:
>>>
>>>
>>> On 18 Jun 2019, at 15:16, Philip Thrift <[email protected]> wrote:
>>>
>>> In 
>>>
>>> *Embodied and disembodied computing at the Turing Centenary:*
>>> *Turing’s Titanic Machine?*
>>> by S. Barry Cooper
>>>
>>> http://www1.maths.leeds.ac.uk/pure/logic/computability/BarryTalks/titanic_CACM.pdf
>>>
>>>
>>> *As Samson Abramsky puts it (private communication communication, 2011):*
>>> *“Turing took traditional mathematical objects, real numbers, functions, 
>>> etc. as the things to be computed. In subsequent work in computer science, 
>>> the view of computation has broadened enormously. In the work on concurrent 
>>> processes, the behavior is the object of interest. There is indeed a lack 
>>> of a clear-cut Church-Turing thesis in this wider sphere of 
>>> computation—computation as interaction."*
>>>
>>> Add "(embodied) experience" to "interaction".
>>>  
>>> So there  is a *beyond-CT* suggested in all of this.
>>>
>>>
>>>
>>> With all my respect to Barry Cooper and Samson Abramski, what they show 
>>> is that there are other interesting notions, beyond computation.
>>>
>>> The provability notion is typically “beyond CT”, or beyond computation, 
>>> but they are Turing emulable, like all interaction-like notion of 
>>> computation are Turing emulable.
>>>
>>> And, yes, they are right, those notions does not admit a Church-Thesis. 
>>> It is just simpler to not call them computation. Those other notions does 
>>> not violate CT, and are often based on CT, more or less explicitly.
>>>
>>> Bruno
>>>
>>>
>>>
>>>
>>>
>> Just as G.Strawson says "matter is a mystery”, 
>>
>>
>> That is a good insight. I did not wait Mechanism to be suspicious that 
>> the notion of matter is nonsensical.
>>
>>
>>
>>
>> computation (what is it?) is a mystery, 
>>
>>
>>
>> I don’t see why. On the contrary, it explains the explainable!
>>
>>
>>
>>
>> except in the certitude of the *received doctrine* of Church-Turing 
>> Thesis.
>>
>>
>> On the contrary. Everyone agreed on all example of intuitively computable 
>> functions, and it admits an intuitively simple and informal definition: a 
>> function is computable if we can explain, with a finite list of words,  how 
>> to compute it on any input, in a finite time.
>> It just happens that we cannot defined “finite”, and then there has been 
>> the discovery of the universal machine, and the empirical discovery that 
>> all attempts to define formally the computable functions has always led to 
>> the same class of functions.
>> Some people,like me (and Gödel) took many years to accept the high 
>> plausibility of CT. 
>>
>> Of course, also, there is no certainty here. There is no certainty in any 
>> science. And CT is not a doctrine, it is a theory, unrefuted until now.
>>
>> Now, many confuse the notion of computation with some of its intensional 
>> variants, to claim that CT is refuted or unwarranted, but that is just 
>> ignorance.
>>
>>
>>
>>
>>
>> But "there are other interesting notions, beyond computation" just leads 
>> to mysticism it seems, since *what are these "other interesting 
>> notions"?* What's an example of one these?
>>
>>
>> Truth, provability, knowledge, observable, relativize computations, etc. 
>>
>>
>>
>>
>> I know that neither you nor Cosmin will accept there is such a thing as 
>> *experience 
>> processing *(with entities - *experiences/qualia irreducible to 
>> information/numbers* - because it is *unconventional computing*, 
>> something it seems you don't think exists (even though there is an annual 
>> conference of it).
>>
>>
>> Yes, and I have been invited to submit a paper, which I did. I have no 
>> problem with this. Unconventional computing does not contradict CT, no more 
>> than quantum computing. But they address problems which are not under the 
>> topic of CT, and emphasise special aspect of some type of computation, but 
>> all machines does that with the different modes of self-reference. Keep in 
>> mind that the machine’s phenomenologies, can be proved to be NON 
>> computable. Of course this used CT. In fact the whole interest of CT is 
>> that it permits to define and study the non computable. Without CT, no 
>> mathematician would say that the 10th problem of Hilbert has been solved 
>> (negatively). (The problem of finding a method to solve Diophantine 
>> equation).
>>
>> Almost all attribute of “codes” are provably non computable.
>>
>> Bruno
>>
>>
>>
>>
> many confuse the notion of computation with some of its intensional 
> variants, to claim that CT is refuted or unwarranted, but that is just 
> ignorance
>
> Intensional semantics lies at the heart of (unconventional computing). 
> While extrinsic semantics 
>
> --------------
>
>    - *Denotational semantics 
>    <https://en.wikipedia.org/wiki/Denotational_semantics>*, whereby each 
>    phrase in the language is interpreted as a *denotation 
>    <https://en.wikipedia.org/wiki/Denotation_(semiotics)>*, i.e. a 
>    conceptual meaning that can be thought of abstractly. Such denotations are 
>    often mathematical objects inhabiting a mathematical space, but it is not 
> a 
>    requirement that they should be so. As a practical necessity, denotations 
>    are described using some form of mathematical notation, which can in turn 
>    be formalized as a denotational metalanguage. For example, denotational 
>    semantics of functional languages 
>    <https://en.wikipedia.org/wiki/Functional_programming_language> often 
>    translate the language into domain theory 
>    <https://en.wikipedia.org/wiki/Domain_theory>. Denotational semantic 
>    descriptions can also serve as compositional translations from a 
>    programming language into the denotational metalanguage and used as a 
> basis 
>    for designing compilers <https://en.wikipedia.org/wiki/Compiler>.
>    - 
>    - *Operational semantics 
>    <https://en.wikipedia.org/wiki/Operational_semantics>*, whereby the 
>    execution of the language is described directly (rather than by 
>    translation). Operational semantics loosely corresponds to 
>    interpretation <https://en.wikipedia.org/wiki/Interpreter_(computing)>, 
>    although again the "implementation language" of the interpreter is 
>    generally a mathematical formalism. Operational semantics may define an 
> abstract 
>    machine <https://en.wikipedia.org/wiki/Abstract_machine> (such as the SECD 
>    machine <https://en.wikipedia.org/wiki/SECD_machine>), and give 
>    meaning to phrases by describing the transitions they induce on states of 
>    the machine. Alternatively, as with the pure lambda calculus 
>    <https://en.wikipedia.org/wiki/Lambda_calculus>, operational semantics 
>    can be defined via syntactic transformations on phrases of the language 
>    itself;
>    - 
>    - *Axiomatic semantics 
>    <https://en.wikipedia.org/wiki/Axiomatic_semantics>*, whereby one 
>    gives meaning to phrases by describing the *axioms 
>    <https://en.wikipedia.org/wiki/Axiom>* that apply to them. Axiomatic 
>    semantics makes no distinction between a phrase's meaning and the logical 
>    formulas that describe it; its meaning *is* exactly what can be proven 
>    about it in some logic. The canonical example of axiomatic semantics is 
> Hoare 
>    logic <https://en.wikipedia.org/wiki/Hoare_logic>.
>
> —————
>
>
> All semantics are good. Not sure what you mention this. This is 
> independent of CT.
>
>
>
>
> may well be well-developed, both physical and experiential semantics of 
> new kinds of programs - e.g. produced by synbio - that actually go out and 
> live in the real world are not yet.
>
> But to call the UC researchers "ignorant" is just name-calling.
>
>
> I said some paper are wrong when claiming that CT is refuted, and there 
> are ignorant people in all group of people. No need of idolatry on some 
> special group of people, especially when they advance thought provoking 
> ideas.
>
> Saying that some people are wrong is not insult, but a checkable fact. I 
> wrote a letter to one of them, and we eventually agreed that there has been 
> some  tongue-slipping, on the matter. It is not a big deal. Penrose is also 
> wrong on CT and on Gödel. That happens, even to good or famous 
> mathematicians.
>
> Being wrong is not a problem. The problem is when people knows that they 
> are wrong, but continue the error, by fear of losing notoriety, or by 
> ideology, or god knows why.
>
> Bruno
>
>
>
>
I would just say that 

Nature (or the cosmos - including us and our consciousnesses - the whole 
shebang, everything) is a *natural* computer*. If it is anything else, it 
is *governed by magic.*

That's the *Natural Computing Thesis* (not to pick any particular names 
linked to it)

NCT is just as good as, or better than CTT.

* or unconventional - http://www.ucnc2019.uec.ac.jp/

@philipthrift

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