On Sunday, December 16, 2018 at 5:33:44 AM UTC, [email protected] wrote:
>
>
>
> On Sunday, December 16, 2018 at 2:11:06 AM UTC, Jason wrote:
>>
>>
>>
>> On Sat, Dec 15, 2018 at 8:06 PM <[email protected]> wrote:
>>
>>>
>>>
>>> On Sunday, December 16, 2018 at 1:41:08 AM UTC, Jason wrote:
>>>>
>>>>
>>>>
>>>> On Sat, Dec 15, 2018 at 7:28 PM <[email protected]> wrote:
>>>>
>>>>>
>>>>>
>>>>> On Saturday, December 15, 2018 at 11:04:55 PM UTC, Jason wrote:
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Saturday, December 15, 2018, <[email protected]> wrote:
>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> On Saturday, December 15, 2018 at 9:28:32 PM UTC, Brent wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On 12/15/2018 7:43 AM, Jason Resch wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On Sat, Dec 15, 2018 at 1:09 AM Brent Meeker <[email protected]> 
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On 12/14/2018 7:31 PM, Jason Resch wrote:
>>>>>>>>>
>>>>>>>>> On Fri, Dec 14, 2018 at 8:43 PM Brent Meeker <[email protected]> 
>>>>>>>>> wrote:
>>>>>>>>>
>>>>>>>>>> Yes, you create a whole theology around not all truths are 
>>>>>>>>>> provable.  But you ignore that what is false is also provable.  
>>>>>>>>>> Provable is 
>>>>>>>>>> only relative to axioms.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>> 1. Do you agree a Turing machine will either halt or not?
>>>>>>>>>
>>>>>>>>> 2. Do you agree that no finite set of axioms has the power to 
>>>>>>>>> prove whether or not any given Turing machine will halt or not?
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> 3. What does this tell us about the relationship between truth, 
>>>>>>>>> proofs, and axioms?
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> What do you think it tells us.  Does it tell us that a false axiom 
>>>>>>>>> will not allow proof of a false proposition?
>>>>>>>>>
>>>>>>>>  
>>>>>>>> It tells us mathematical truth is objective and doesn't come from 
>>>>>>>> axioms. Axioms are like physical theories, we can test them and refute 
>>>>>>>> them 
>>>>>>>> if they lead to predictions that are demonstrably false. E.g., if they 
>>>>>>>> predict a Turing machine will not halt, but it does, then we can 
>>>>>>>> reject 
>>>>>>>> that axiom as an incorrect theory of mathematical truth.  Similarly, 
>>>>>>>> we 
>>>>>>>> might find axioms that allow us to prove more things than some weaker 
>>>>>>>> set 
>>>>>>>> of axioms, thereby building a better theory, but we have no mechanical 
>>>>>>>> way 
>>>>>>>> of doing this. In that way it is like doing science, and requires 
>>>>>>>> trial and 
>>>>>>>> error, comparing our theories with our observations, etc.
>>>>>>>>
>>>>>>>>
>>>>>>>> Fine, except you've had to quailfy it as "mathematical truth", 
>>>>>>>> meaning that it is relative to the axioms defining the Turning 
>>>>>>>> machine.  
>>>>>>>> Remember a Turing machine isn't a real device.
>>>>>>>>
>>>>>>>
>>>>>>> This seems to be the core problem with Bruno's proposal or model of 
>>>>>>> reality; how does an imaginary device produce the illusion of matter 
>>>>>>> (and 
>>>>>>> space and time)? AG 
>>>>>>>
>>>>>>>>
>>>>>>>> Brent
>>>>>>>>
>>>>>>> -- 
>>>>>>
>>>>>>
>>>>>> The solution us easy. Don't assume they're only imaginary.
>>>>>>
>>>>>
>>>>> *If they're responsible for the existence of the matter and spacetime 
>>>>> illusion, then they aren't composed of matter and don't exist in 
>>>>> spacetime. 
>>>>> So, the only alternative is that they exist in our imagination; hence, 
>>>>> they're imaginary. QED. AG *
>>>>>
>>>>>>
>>>>>>
>>>> Imaginary mean exists only in imagination.
>>>>
>>>> Simple counter example to your proof: If this universe is a simulation 
>>>> run on a computer by an advanced alien species, you would conclude that 
>>>> computer and alien species is imaginary on the basis that it can't be 
>>>> located in spacetime.  But clearly this computer and alien civilization 
>>>> does not exist only in our heads, for if they didn't we wouldn't have 
>>>> heads 
>>>> with which to imagine them.
>>>>
>>>
>>> *If you insist on asserting something, anything, exists, but not in 
>>> spacetime, you have a huge burden of proof since it's impossible to prove 
>>> your assertion by any empirical test. So, you're not dealing with a 
>>> scientific hypothesis, since it can't be falsified. AG *
>>>
>>>>
>>>>
>> It can be falsified. I think you missed the posts I wrote in response to 
>> John.  The basic idea is this:
>>
>> Theories predict certain observations.  We can check for those 
>> observations.  If we find them, the theory has passed a test. If we don't 
>> find them we keep looking. If we find observations that contradict the 
>> predictions of the theory, then we reject that theory and look for 
>> something better.
>>
>
> *Your Turing Machines don't exist in spacetime, so in principle they're 
> undetectable by beings existing in spacetime. They might as well be ghosts. 
> And regardless of what you claim, I don't see anything predictable by such 
> a theory. AG *
>

*For Turing, his machine, albeit a model, was conceived as existing in the 
physical world of spacetime (tapes, heads reading tapes, symbols being 
manipulated, outputs being printed, etc.), but YOUR Turing machine exists 
in a Platonic realm. So, I don't think any of this makes any sense. AG*


>
>> Jason 
>>
>

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