On Tuesday, October 30, 2018 at 3:44:03 AM UTC-5, Bruno Marchal wrote:
>
>
> On 29 Oct 2018, at 12:04, Philip Thrift <[email protected] <javascript:>> 
> wrote:
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>
>
> On Monday, October 29, 2018 at 5:05:03 AM UTC-5, Bruno Marchal wrote:
>>
>>
>> On 28 Oct 2018, at 15:12, Philip Thrift <[email protected]> wrote:
>>
>>
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>> On Sunday, October 28, 2018 at 8:29:32 AM UTC-5, Bruno Marchal wrote:
>>>
>>>
>>> On 26 Oct 2018, at 18:25, Philip Thrift <[email protected]> wrote:
>>>
>>>
>>>
>>> On Friday, October 26, 2018 at 9:50:13 AM UTC-5, Bruno Marchal wrote:
>>>>
>>>>
>>>> On 25 Oct 2018, at 18:36, Philip Thrift <[email protected]> wrote:
>>>>
>>>>
>>>>
>>>> On Thursday, October 25, 2018 at 11:03:22 AM UTC-5, Bruno Marchal wrote:
>>>>>
>>>>>
>>>>>
>>>>> There was no physics before writing, also; but there was a physical 
>>>>> reality and a mathematical reality before human writing, and before 
>>>>> humans, 
>>>>> although this is metaphorical, as the arithmetical reality is out of time 
>>>>> and space. It is a category error to ask if 2+2=4 is true now or 
>>>>> yesterday.
>>>>>
>>>>> Bruno
>>>>>
>>>>>
>>>>
>>>> As the mathematical fictionalist* would deny the existence of numbers 
>>>> in the first place, "2+2=4" is only true in the sense that there is a 
>>>> language that has been created in which that sentence is labeled "true”.
>>>>
>>>>
>>>> Let me labelled the Rieman conjecture (a PI_1 arithmetical sentence) as 
>>>> true, and send me the 1000.000 dollars.
>>>>
>>>> Wit mechanism, we could say that we arrive at a sort of physical 
>>>> fictionalism, but to be sure, only the primary character is “fictional”, 
>>>> which just means false (assuming Mechanism).
>>>>
>>>>
>>>>
>>>>
>>>> If there were some eternal language outside anything we we call 
>>>> material reality …. 
>>>>
>>>>
>>>> There is the notion of Turing universality, which is independent of any 
>>>> language. But is part of the arithmetical reality, or the combinatorical 
>>>> reality, which is independent of language too, but it might be harder to 
>>>> see this.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>> (sort of like, *In the beginning was The Word* …)
>>>>
>>>>
>>>> That was a good insight, yes. Again, when we assume mechanism.
>>>>
>>>> I don’t think that there is any evidence for materialism and/or 
>>>> physicalism. It is just an habit of thinking, perhaps due to the fact that 
>>>> those who harbour doubt on this have been persecuted as heretic for 
>>>> centuries.
>>>>
>>>> Note that if the logic Z1*, which I describe in my papers, was 
>>>> contradicted by nature, that would be an evidence for oracle, and perhaps 
>>>> some notion of “primary matter” would make sense, but to be honest, I 
>>>> doubt 
>>>> this too.
>>>>
>>>>
>>>>
>>>> * [ https://plato.stanford.edu/entries/fictionalism-mathematics/ ], 
>>>> written by Mark Balaguer [ 
>>>> http://www.calstatela.edu/faculty/mark-balaguer ].
>>>>
>>>>
>>>>
>>>> I am skeptical of their premises. I would believe more that 17 is prime 
>>>> that there is a moon.
>>>>
>>>> To make sense of mathematical factionalism, I would like to see a 
>>>> theory in physics which does not assume elementary arithmetic. 
>>>>
>>>> It is more easy to explain the “illusion” of primary matter to an 
>>>> arithmetical dreaming computer than to explain the “illusion” of 
>>>> consciousness to a piece of rock. To be short.
>>>>
>>>> Anyway, what can be proved is that Mechanism and Materialism are 
>>>> incompatible together, and that we can test this, and the preliminary 
>>>> test, 
>>>> done by contemporary physics already lean in favour of mechanism. The 
>>>> multiplication and fusion of histoires, exemplified by quantum mechanics, 
>>>> is a normal happening in arithmetic.
>>>>
>>>> Bruno
>>>>
>>>>
>>>>
>>> There is a sense we know now that there is no definite truth in 
>>> mathematics at some level of language:
>>>
>>> *Pluralism in mathematics: the multiverse view in set theory and the 
>>> question of whether every mathematical statement has a definite truth 
>>> value, Rutgers, March 2013*
>>>
>>> http://jdh.hamkins.org/pluralism-in-mathematics-the-multiverse-view-in-set-theory-and-the-question-of-whether-every-mathematical-statement-has-a-definite-truth-value-rutgers-march-2013/
>>>
>>> As physicalism has been defined in current philosophy writing as 
>>> "reduction to physics:
>>>
>>> *Against Fundamentalism*.(2018)
>>> http://philsci-archive.pitt.edu/15147/
>>>
>>> *non-reductive* materialism is in opposition to physicalism:
>>>
>>> "Materialism is often associated with reductionism, according to which 
>>> the objects or phenomena individuated at one level of description, if they 
>>> are genuine, must be explicable in terms of the objects or phenomena at 
>>> some other level of description—typically, at a more reduced level. 
>>> Non-reductive materialism explicitly rejects this notion, however, taking 
>>> the material constitution of all particulars to be consistent with the 
>>> existence of real objects, properties, or phenomena not explicable in the 
>>> terms canonically used for the basic material constituents. Jerry Fodor 
>>> influentially argues this view, according to which empirical laws and 
>>> explanations in "special sciences" like psychology or geology are invisible 
>>> from the perspective of basic physics. A lot of vigorous literature has 
>>> grown up around the relation between these views."
>>> - https://en.wikipedia.org/wiki/Materialism
>>>
>>> Materialism and physicalism are not the same thing.
>>>
>>>
>>> Indeed. Note that I use “materialism” in a weaker sense than usual. By 
>>> materialism, I mean the belief in primary matter. Then, depending on how 
>>> people define “primary matter”, this can be related with physicalisme. 
>>> Physicalism is the doctrine that all science are reducible in principle to 
>>> physics.
>>>
>>> All this is not so important, as Digital Mechanism makes even very weak 
>>> form of materialism and physicalism dubious. Mechanism leads to a reductive 
>>> ontology (what exists is only 0, s(0), s(s(0)), …), but prevent any 
>>> effective reductionism of the phenomenologies.
>>>
>>> Bruno
>>>
>>>
>>>
>>  
>>
>> *Codicalism* (all matter has codicality) is a variant of hylomorphism. 
>> There is just matter, not a "pre" or "prime" or "primal" matter.
>>
>>    https://www.britannica.com/topic/hylomorphism
>>    https://en.wikipedia.org/wiki/Hylomorphism
>>    
>> http://www.people.fas.harvard.edu/~korsgaar/CMK.2.Kinds.Matter.in.Aristotle.pdf
>>
>>
>> The objection i raise to a purely information (numbers) processing 
>> reality: One can get all possible physics (or any science) theories out of 
>> it, and all modal agent (self-references, beliefs, intentions) languages, 
>> but the theories and languages are not the things. 
>>
>>
>>
>> I agree with this. With mechanism, reality, whatever it is, is not pure 
>> information processing. Note that elementary arithmetic is already quite 
>> above what is accessible by information processing, and the 
>> phenomenological physical reality inherit that non computable aspect.
>> On the century matter and physics emerges from one unique sum on all 
>> computations. It has to be the same physics for all machine. Physics 
>> becomes theory and machine independent.
>>
>>
>>
>>
>> One needs experience processing. Matter is the only candidate to 
>> substrate both information and experience processing.
>>
>>
>> Experience processing is explained by the relation between information 
>> processing and truth, which is above all form of information processing.
>>
>> Matter? I don’t know what it is, unless you mean what we observe, but up 
>> to know, machines observe the same matter, in a reality which dos not 
>> assume its primitive, ontological existence.
>>
>> Bruno
>>
>>
>>
> By "information processing" I include all possible arithmetical *and* 
> *hyperarithmetical 
> *[ https://en.wikipedia.org/wiki/Hyperarithmetical_theory ] (what other 
> arithmetic is there beyond all that?) processing.
>
>
> That is way above Mechanism. I can understand the need if you want some 
> primitive matter to exist, but that will not be enough, I think.
>
 

What arithmetical processing is there beyond even hyperarithmetical 
processing? But in any case, arithmetical + hyperarithmetical processing 
does not cover implementation of phenomenal experience (i.e. 
consciousness). For that, a material substate is needed.




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> But experience (consciousness) is outside all of that (Galen Strawson).
>
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> That is true with mechanism too. The internal phenomenologies in 
> arithmetic are even above the “whole of mathematics” in case this can make 
> sense. 
>
> Bruno
>
>
>
Mechanism is a form of processing that cannot be defined by 
arithmetical+hyperarithmetical processing?


(By arithmetical processing I just mean Turing-machine processing of 
course. Hyperarithmetical processing is being able to perform - if needed! 
- infinitely iterated Turing jumps 
<https://en.wikipedia.org/wiki/Turing_jump>.)

- pt

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