Re: Do we live within a Diophantine equation?

> On 1 Jul 2018, at 01:07, Russell Standish wrote: > > On Thu, Jun 28, 2018 at 09:45:35AM +0200, Bruno Marchal wrote: >> >> The quantum vacuum is not vacuum at all. Then there are as many notion of >> nothing than there are notions of thing. If the thing are number, the >> nothing is the

Re: Do we live within a Diophantine equation?

> On 30 Jun 2018, at 18:20, John Clark wrote: > > On Fri, Jun 29, 2018 at 5:24 AM, Bruno Marchal > wrote: > > > Nowhere anybody has ever defended the idea that books or texts can think. > > You are the only one mentioning that > > I don’t believe that’s true. There

Re: Do we live within a Diophantine equation?

> On 29 Jun 2018, at 19:54, Brent Meeker wrote: > > > > On 6/29/2018 2:20 AM, Bruno Marchal wrote: >> >>> On 28 Jun 2018, at 20:00, Brent Meeker >> > wrote: >>> >>> >>> >>> On 6/28/2018 8:46 AM, Bruno Marchal wrote: > Also, if another sort of a multiverse

Re: Do we live within a Diophantine equation?

On Thu, Jun 28, 2018 at 09:45:35AM +0200, Bruno Marchal wrote: > > The quantum vacuum is not vacuum at all. Then there are as many notion of > nothing than there are notions of thing. If the thing are number, the nothing > is the number zero. If the things are sets, the nothing is the empty

Re: Do we live within a Diophantine equation?

On Fri, Jun 29, 2018 at 5:24 AM, Bruno Marchal wrote: *> Nowhere anybody has ever defended the idea that books or texts can > think. You are the only one mentioning that* I don’t believe that’s true. There is a fellow by the name of Bruno Marchal who is constantly mentioning that pure

Re: Do we live within a Diophantine equation?

On 6/29/2018 2:20 AM, Bruno Marchal wrote: On 28 Jun 2018, at 20:00, Brent Meeker > wrote: On 6/28/2018 8:46 AM, Bruno Marchal wrote: Also, if another sort of a multiverse exists besides the quantum multiverse, then in any physics experiment you're going to

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 02:16, Brent Meeker wrote: > > > > On 6/27/2018 2:02 AM, Bruno Marchal wrote: >>> Which is certainly shorter than providing a degree 4 universal Diophantine >>> equation, like below (I can’t resist): >>> >>> (unknowns range on the non negative integers (= 0 included)

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 21:30, John Clark wrote: > > On Thu, Jun 28, 2018 at 11:26 AM, Bruno Marchal > wrote: > > ​>​You can store a sequence of numbers in one number. For example you can > store the sequence 7, 7, 7, 9, 8, 7, 9, 7, 6, 6 in the number x with (unique)

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 20:24, John Clark wrote: > > On Thu, Jun 28, 2018 at 4:13 AM, Bruno Marchal > wrote: > > >​>​ nobody around here has provided even a hint of how pure numbers could do > >the same thing. > > T​>​hat is done in all (good) textbook in mathematical

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 20:13, John Clark wrote: > > On Thu, Jun 28, 2018 at 1:32 AM, Jason Resch > wrote: > > ​>​We need silicon only to tell us what to ignore. Too many infinite bit > strings exist in math, they exist in e, Pi, sqrt(2), etc. The infinite >

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 20:00, Brent Meeker wrote: > > > > On 6/28/2018 8:46 AM, Bruno Marchal wrote: >>> Also, if another sort of a multiverse exists besides the quantum >>> multiverse, then in any physics experiment you're going to measure the >>> totality of all the effects of all

Re: Do we live within a Diophantine equation?

> On 28 Jun 2018, at 04:14, Russell Standish wrote: > > On Wed, Jun 27, 2018 at 10:39:20AM +0200, Bruno Marchal wrote: >>> His retort was that >>> integers weren't stuff - but I think that is somewhat of a lost in >>> translation moment. The French word etouffe >> >> Etoffe. >> >> >> >>>

Re: Do we live within a Diophantine equation?

Subject: Re: Do we live within a Diophantine equation? On Mon, Jun 25, 2018 at 8:04 PM, Jason Resch wrote: ​>​ Study what diophantine equations are capable of (for example, considers the examples I provided in my original post), and you will see they possess an unlimited working mem

Re: Do we live within a Diophantine equation?

On Thu, Jun 28, 2018 at 11:26 AM, Bruno Marchal wrote: *​>​You can store a sequence of numbers in one number. For example you can > store the sequence 7, 7, 7, 9, 8, 7, 9, 7, 6, 6 in the number x with > (unique) prime decomposition* > How can pure numbers do a unique prime decomposition? I don't

Re: Do we live within a Diophantine equation?

On Thu, Jun 28, 2018 at 4:13 AM, Bruno Marchal wrote: > >> ​>​ >> nobody around here has provided even a hint of how pure numbers could do >> the same thing. > > > *T​>​hat is done in all (good) textbook in mathematical logic or > computability theory.* ​Ah yes, that wonderful textbook you

Re: Do we live within a Diophantine equation?

On Thu, Jun 28, 2018 at 1:32 AM, Jason Resch wrote: *​>​We need silicon only to tell us what to ignore. Too many infinite bit > strings exist in math, they exist in e, Pi, sqrt(2), etc. The infinite > messages and data is all there, stored forever. What we ask of our > computers is to tell us

Re: Do we live within a Diophantine equation?

On 6/28/2018 8:46 AM, Bruno Marchal wrote: Also, if another sort of a multiverse exists besides the quantum multiverse, then in any physics experiment you're going to measure the totality of all the effects of all multiverses in which you have exact copies. The effects of these other

Re: Do we live within a Diophantine equation?

On Thu, Jun 28, 2018 at 1:10 AM, Jason Resch wrote: ​>>​ >> ​One doesn't exist and zero doesn't exist. No difference.​ >> >> > > ​>​ > If they're not different then how can "no thing" a.k.a. "zero things" > remain consistent if there is no difference between "zero things" and "1 > thing"? > A

Re: Do we live within a Diophantine equation?

> On 22 Jun 2018, at 16:16, smitra wrote: > > On 21-06-2018 23:46, Brent Meeker wrote: >> On 6/21/2018 6:33 AM, smitra wrote: >>> On 21-06-2018 05:01, Brent Meeker wrote: On 6/20/2018 6:30 PM, smitra wrote: > On 19-06-2018 23:22, Brent Meeker wrote: >> On 6/18/2018 6:03 PM, smitra

Re: Do we live within a Diophantine equation?

> On 25 Jun 2018, at 16:05, John Clark wrote: > > On Sun, Jun 24, 2018 at 5:35 AM, Russell Standish > wrote: > > >​> ​ If I define physics as the thing that can tell the difference between a > > correct computation and a incorrect computation and between a

Re: Do we live within a Diophantine equation?

> On 27 Jun 2018, at 05:20, Brent Meeker wrote: > > > > On 6/26/2018 7:14 AM, Jason Resch wrote: >> >> >> On Mon, Jun 25, 2018 at 10:57 PM, Brent Meeker > > wrote: >> >> Logic, laws, and principles are adopted after the fact to clean up problems >> perceived

Re: Do we live within a Diophantine equation?

> On 27 Jun 2018, at 04:30, John Clark wrote: > > On Tue, Jun 26, 2018 at 9:19 AM, Jason Resch > wrote: > > ​>>​I'll be damned if I understand how all the Diophantine equations in the > world put together can store one bit of information, much less a unlimited >

Re: Do we live within a Diophantine equation?

> On 26 Jun 2018, at 16:14, Jason Resch wrote: > > > > On Mon, Jun 25, 2018 at 10:57 PM, Brent Meeker > wrote: > > Logic, laws, and principles are adopted after the fact to clean up problems > perceived in intuitive inferences; and their solutions are not

Re: Do we live within a Diophantine equation?

> On 26 Jun 2018, at 03:59, John Clark wrote: > > On Mon, Jun 25, 2018 at 8:04 PM, Jason Resch > wrote: > > ​>​Study what diophantine equations are capable of (for example, considers > the examples I provided in my original post), and you will see they possess >

Re: Do we live within a Diophantine equation?

> On 26 Jun 2018, at 03:47, Brent Meeker wrote: > > > > On 6/25/2018 5:54 PM, Jason Resch wrote: >> >> >> On Mon, Jun 25, 2018 at 1:54 PM, Brent Meeker > > wrote: >> >> >> On 6/24/2018 6:43 PM, Jason Resch wrote: >>> >>> >>> On Fri, Jun 22, 2018 at 3:30 PM,

Re: Do we live within a Diophantine equation?

On Tue, Jun 26, 2018 at 9:30 PM, John Clark wrote: > On Tue, Jun 26, 2018 at 9:19 AM, Jason Resch wrote: > > ​>>​ >>> I'll be damned if I understand how all the Diophantine equations in the >>> world put together can store one bit of information, much less a unlimited >>> amount, you certainly

Re: Do we live within a Diophantine equation?

On Tue, Jun 26, 2018 at 8:11 PM, John Clark wrote: > On Mon, Jun 25, 2018 at 9:37 PM, Jason Resch wrote: > > ​>>​ >>> You could argue that all modern science has done is prove the vacuum is >>> not nothing and although Leibniz was wrong about that the question remains >>> valid, but I would say

Re: Do we live within a Diophantine equation?

On Wed, Jun 27, 2018 at 10:39:20AM +0200, Bruno Marchal wrote: > > His retort was that > > integers weren't stuff - but I think that is somewhat of a lost in > > translation moment. The French word etouffe > > Etoffe. > > > > > basically means material, > > and in English stuff used to mean

Re: Do we live within a Diophantine equation?

On 6/27/2018 2:02 AM, Bruno Marchal wrote: Which is certainly shorter than providing a degree 4 universal Diophantine equation, like below (I can’t resist): (unknowns range on the non negative integers (= 0 included) 31 unknowns: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O,

Re: Do we live within a Diophantine equation?

> On 26 Jun 2018, at 02:54, Jason Resch wrote: > > > > On Mon, Jun 25, 2018 at 1:54 PM, Brent Meeker > wrote: > > > On 6/24/2018 6:43 PM, Jason Resch wrote: >> >> >> On Fri, Jun 22, 2018 at 3:30 PM, John Clark > > wrote: >> On

Re: Do we live within a Diophantine equation?

> On 25 Jun 2018, at 02:54, Jason Resch wrote: > > > > On Fri, Jun 22, 2018 at 5:41 AM, Bruno Marchal > wrote: > >> On 20 Jun 2018, at 14:55, Jason Resch > > wrote: >> >> >> >> On Tue, Jun 19, 2018 at 11:36 AM, Bruno Marchal >

Re: Do we live within a Diophantine equation?

> On 25 Jun 2018, at 02:54, Jason Resch wrote: > > > > On Fri, Jun 22, 2018 at 5:41 AM, Bruno Marchal > wrote: > >> On 20 Jun 2018, at 14:55, Jason Resch > > wrote: >> >> >> >> On Tue, Jun 19, 2018 at 11:36 AM, Bruno Marchal >

Re: Do we live within a Diophantine equation?

> On 24 Jun 2018, at 11:35, Russell Standish wrote: > > On Fri, Jun 22, 2018 at 04:30:54PM -0400, John Clark wrote: >> On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch wrote: >> >> ​>* ​* >>> *The only thing I am asking is:* >>> *1) Physics -> Brains, Cars, Atoms, Etc.* >>> *2) ??? -> Physics ->

Re: Do we live within a Diophantine equation?

> On 23 Jun 2018, at 17:47, John Clark wrote: > > On Fri, Jun 22, 2018 at 5:04 AM, Bruno Marchal > wrote: > > ​> ​A physical computation is required for a physical observer to get a > result, but that remains true when the physical computation + the observer > are

Re: Do we live within a Diophantine equation?

On 6/26/2018 7:14 AM, Jason Resch wrote: On Mon, Jun 25, 2018 at 10:57 PM, Brent Meeker > wrote: Logic, laws, and principles are adopted after the fact to clean up problems perceived in intuitive inferences; and their solutions are not always

Re: Do we live within a Diophantine equation?

On Tue, Jun 26, 2018 at 09:11:29PM -0400, John Clark wrote: > On Mon, Jun 25, 2018 at 9:37 PM, Jason Resch wrote: > > ​>​ > > *You deleted my comment that showed the analogy between physical theories > > and mathematical theories. Why?* > > > I really hate the iterated layers of quotations seen

Re: Do we live within a Diophantine equation?

On Tue, Jun 26, 2018 at 9:19 AM, Jason Resch wrote: ​>>​ >> I'll be damned if I understand how all the Diophantine equations in the >> world put together can store one bit of information, much less a unlimited >> amount, you certainly never said how on earth they could do it, and the >>

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 9:37 PM, Jason Resch wrote: ​>>​ >> You could argue that all modern science has done is prove the vacuum is >> not nothing and although Leibniz was wrong about that the question remains >> valid, but I would say expecting science to explain how a nothing that is >> so

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 10:57 PM, Brent Meeker wrote: > > > Logic, laws, and principles are adopted after the fact to clean up > problems perceived in intuitive inferences; and their solutions are not > always consistent (c.f. Russell's definite descriptions vs free logics, or > Graham Priest

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 8:59 PM, John Clark wrote: > On Mon, Jun 25, 2018 at 8:04 PM, Jason Resch wrote: > > *​>​Study what diophantine equations are capable of (for example, >> considers the examples I provided in my original post), and you will see >> they possess an unlimited working

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 8:47 PM, Brent Meeker wrote: > > > On 6/25/2018 5:54 PM, Jason Resch wrote: > > > > On Mon, Jun 25, 2018 at 1:54 PM, Brent Meeker > wrote: > >> >> >> On 6/24/2018 6:43 PM, Jason Resch wrote: >> >> >> >> On Fri, Jun 22, 2018 at 3:30 PM, John Clark wrote: >> >>> On Thu,

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 8:04 PM, Jason Resch wrote: *​>​Study what diophantine equations are capable of (for example, considers > the examples I provided in my original post), and you will see they possess > an unlimited working memory.* > I did and I'll be damned if I understand how all the

Re: Do we live within a Diophantine equation?

On 6/25/2018 5:54 PM, Jason Resch wrote: On Mon, Jun 25, 2018 at 1:54 PM, Brent Meeker > wrote: On 6/24/2018 6:43 PM, Jason Resch wrote: On Fri, Jun 22, 2018 at 3:30 PM, John Clark mailto:johnkcl...@gmail.com>> wrote: On Thu, Jun 21, 2018

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 4:29 PM, John Clark wrote: > On Sun, Jun 24, 2018 at 9:43 PM, Jason Resch wrote: > > >* Leibniz: "Why is there something rather than nothing?"* > > > ​ > By "nothing" Leibniz meant a vacuum, today we know far more about the > vacuum than he did. Nothing, that is to say

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 1:54 PM, Brent Meeker wrote: > > > On 6/24/2018 6:43 PM, Jason Resch wrote: > > > > On Fri, Jun 22, 2018 at 3:30 PM, John Clark wrote: > >> On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch >> wrote: >> >> ​>* ​* >>> *The only thing I am asking is:* >>> *1) Physics ->

Re: Do we live within a Diophantine equation?

On Mon, Jun 25, 2018 at 9:05 AM, John Clark wrote: > On Sun, Jun 24, 2018 at 5:35 AM, Russell Standish > wrote: > > *>​> ​* If I define physics as the thing that can tell the difference >>> between a correct computation and a incorrect computation and between a >>> corrupted memory and a

Re: Do we live within a Diophantine equation?

On Sun, Jun 24, 2018 at 9:43 PM, Jason Resch wrote: >* Leibniz: "Why is there something rather than nothing?"* ​ By "nothing" Leibniz meant a vacuum, today we know far more about the vacuum than he did. Nothing, that is to say zero, is far too precise a number for quantum mechanics, it permits

Re: Do we live within a Diophantine equation?

On 6/24/2018 6:43 PM, Jason Resch wrote: On Fri, Jun 22, 2018 at 3:30 PM, John Clark > wrote: On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch mailto:jasonre...@gmail.com>>wrote: ​>/​/ /The only thing I am asking is:/ /1) Physics ->

Re: Do we live within a Diophantine equation?

On Sun, Jun 24, 2018 at 5:35 AM, Russell Standish wrote: *>​> ​* If I define physics as the thing that can tell the difference >> between a correct computation and a incorrect computation and between a >> corrupted memory and a uncorrupted memory, and as long as we're at this >> philosophic

Re: Do we live within a Diophantine equation?

On Fri, Jun 22, 2018 at 3:30 PM, John Clark wrote: > On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch wrote: > > ​>* ​* >> *The only thing I am asking is:* >> *1) Physics -> Brains, Cars, Atoms, Etc.* >> *2) ??? -> Physics -> Brains, Cars, Atoms, Etc.* >> *Do we have enough information to decide

Re: Do we live within a Diophantine equation?

On Fri, Jun 22, 2018 at 5:41 AM, Bruno Marchal wrote: > > On 20 Jun 2018, at 14:55, Jason Resch wrote: > > > > On Tue, Jun 19, 2018 at 11:36 AM, Bruno Marchal wrote: > >> >> On 17 Jun 2018, at 02:18, Jason Resch wrote: >> >> In solving Hilbert's 10th problem >>

Re: Do we live within a Diophantine equation?

On Fri, Jun 22, 2018 at 04:30:54PM -0400, John Clark wrote: > On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch wrote: > > ​>* ​* > > *The only thing I am asking is:* > > *1) Physics -> Brains, Cars, Atoms, Etc.* > > *2) ??? -> Physics -> Brains, Cars, Atoms, Etc.* > > *Do we have enough information

Re: Do we live within a Diophantine equation?

On Fri, Jun 22, 2018 at 5:04 AM, Bruno Marchal wrote: ​> ​ > *A physical computation is required for a physical observer to get a > result, but that remains true when the physical computation + the observer > are themselves the product of a computation* > If both the physical computation and

Re: Do we live within a Diophantine equation?

On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch wrote: ​>* ​* > *The only thing I am asking is:* > *1) Physics -> Brains, Cars, Atoms, Etc.* > *2) ??? -> Physics -> Brains, Cars, Atoms, Etc.* > *Do we have enough information to decide between the above two theories? > Have we really ruled out

Re: Do we live within a Diophantine equation?

On 21-06-2018 23:46, Brent Meeker wrote: On 6/21/2018 6:33 AM, smitra wrote: On 21-06-2018 05:01, Brent Meeker wrote: On 6/20/2018 6:30 PM, smitra wrote: On 19-06-2018 23:22, Brent Meeker wrote: On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is

Re: Do we live within a Diophantine equation?

> On 21 Jun 2018, at 23:46, Brent Meeker wrote: > > > > On 6/21/2018 6:33 AM, smitra wrote: >> On 21-06-2018 05:01, Brent Meeker wrote: >>> On 6/20/2018 6:30 PM, smitra wrote: On 19-06-2018 23:22, Brent Meeker wrote: > On 6/18/2018 6:03 PM, smitra wrote: >> On 17-06-2018 22:42,

Re: Do we live within a Diophantine equation?

> On 21 Jun 2018, at 21:49, John Clark wrote: > > > > On Thu, Jun 21, 2018 at 1:32 PM, Jason Resch > wrote: > > ​> ​We can use physical analogies to reason about mathematics, > We can't reason about ANYTHING without physics, that's why our physical > brain is

Re: Do we live within a Diophantine equation?

> On 21 Jun 2018, at 19:11, John Clark wrote: > > On Wed, Jun 20, 2018 at 9:00 PM, Jason Resch > wrote: > > ​>> ​If mathematics was more fundamental than physics then Intel would be a > ridiculously unnecessary company and would have gone bankrupt decades ago,

Re: Do we live within a Diophantine equation?

> On 20 Jun 2018, at 17:56, John Clark wrote: > > On Wed, Jun 20, 2018 at 1:06 AM, Jason Resch > wrote: > > ​> ​I am not sure I am seeing the relevance of your comments to what I > said.​ ​Are you disputing that computational relations are embodied by >

Re: Do we live within a Diophantine equation?

> On 20 Jun 2018, at 14:55, Jason Resch wrote: > > > > On Tue, Jun 19, 2018 at 11:36 AM, Bruno Marchal > wrote: > >> On 17 Jun 2018, at 02:18, Jason Resch > > wrote: >> >> In solving Hilbert's 10th problem >>

Re: Do we live within a Diophantine equation?

> On 20 Jun 2018, at 04:02, John Clark wrote: > > On Sun, Jun 17, 2018 at 9:27 AM, Jason Resch > wrote: > > ​>​Below is some Python code...[blah blah] John Clark often tells Bruno > mathematical truth won't put Intel out of business > > ​Yes, I have been known

Re: Do we live within a Diophantine equation?

On 6/21/2018 6:33 AM, smitra wrote: On 21-06-2018 05:01, Brent Meeker wrote: On 6/20/2018 6:30 PM, smitra wrote: On 19-06-2018 23:22, Brent Meeker wrote: On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave

Re: Do we live within a Diophantine equation?

On Thu, Jun 21, 2018 at 2:49 PM, John Clark wrote: > > > On Thu, Jun 21, 2018 at 1:32 PM, Jason Resch wrote: > > ​> *​* >> *We can use physical analogies to reason about mathematics,* >> > We can't reason about ANYTHING without physics, that's why our physical > brain is so handy. > > "This

Re: Do we live within a Diophantine equation?

On Thu, Jun 21, 2018 at 1:32 PM, Jason Resch wrote: ​> *​* > *We can use physical analogies to reason about mathematics,* > We can't reason about ANYTHING without physics, that's why our physical brain is so handy. > ​>* ​* > *but doing so cannot prove that physical things are more

Re: Do we live within a Diophantine equation?

On Thu, Jun 21, 2018 at 12:11 PM, John Clark wrote: > On Wed, Jun 20, 2018 at 9:00 PM, Jason Resch wrote: > > ​>> ​ >>> If mathematics was more fundamental than physics then Intel would be a >>> ridiculously unnecessary company and would have gone bankrupt decades ago, >>> but physics can

Re: Do we live within a Diophantine equation?

On Wed, Jun 20, 2018 at 9:00 PM, Jason Resch wrote: ​>> ​ >> If mathematics was more fundamental than physics then Intel would be a >> ridiculously unnecessary company and would have gone bankrupt decades ago, >> but physics can clearly do things that mathematics can't and so the company >> is

Re: Do we live within a Diophantine equation?

On 21-06-2018 05:01, Brent Meeker wrote: On 6/20/2018 6:30 PM, smitra wrote: On 19-06-2018 23:22, Brent Meeker wrote: On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result

Re: Do we live within a Diophantine equation?

On 6/20/2018 6:30 PM, smitra wrote: On 19-06-2018 23:22, Brent Meeker wrote: On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result of MRDP implies it is Diophantine. Jason

Re: Do we live within a Diophantine equation?

On 19-06-2018 23:22, Brent Meeker wrote: On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result of MRDP implies it is Diophantine. Jason Or you could try to see if QM could

Re: Do we live within a Diophantine equation?

On Wed, Jun 20, 2018 at 7:36 PM, John Clark wrote: > On Wed, Jun 20, 2018 at 1:45 PM, Jason Resch wrote: > > ​>>​ >>> No I'm not disputing that, but computational relations couldn't exist >>> without computations, and computations couldn't exist without matter that >>> obeys the laws of

Re: Do we live within a Diophantine equation?

On Wed, Jun 20, 2018 at 1:45 PM, Jason Resch wrote: ​>>​ >> No I'm not disputing that, but computational relations couldn't exist >> without computations, and computations couldn't exist without matter that >> obeys the laws of physics. >> > > ​>* ​* > *Why couldn't it be the other way around?

Re: Do we live within a Diophantine equation?

On Wed, Jun 20, 2018 at 10:56 AM, John Clark wrote: > On Wed, Jun 20, 2018 at 1:06 AM, Jason Resch wrote: > > ​>* ​* >> *I am not sure I am seeing the relevance of your comments to what I >> said.​ ​Are you disputing that computational relations are embodied by >> statements concerning

Re: Do we live within a Diophantine equation?

On Wed, Jun 20, 2018 at 1:06 AM, Jason Resch wrote: ​>* ​* > *I am not sure I am seeing the relevance of your comments to what I > said.​ ​Are you disputing that computational relations are embodied by > statements concerning solutions to certain polynomial equations?* > No I'm not disputing

Re: Do we live within a Diophantine equation?

On Tue, Jun 19, 2018 at 11:36 AM, Bruno Marchal wrote: > > On 17 Jun 2018, at 02:18, Jason Resch wrote: > > In solving Hilbert's 10th problem > in the > negative, the work of Martin Davis, Yuri Matiyasevich, Hilary Putnam and > Julia

Re: Do we live within a Diophantine equation?

On Tue, Jun 19, 2018 at 9:02 PM, John Clark wrote: > On Sun, Jun 17, 2018 at 9:27 AM, Jason Resch wrote: > > *​>​Below is some Python code*...[blah blah] *John Clark often tells >> Bruno mathematical truth won't put Intel out of business* > > > ​Yes, I have been known to say that from time to

Re: Do we live within a Diophantine equation?

On Sun, Jun 17, 2018 at 9:27 AM, Jason Resch wrote: *​>​Below is some Python code*...[blah blah] *John Clark often tells Bruno > mathematical truth won't put Intel out of business* ​Yes, I have been known to say that from time to time.​ > ​>​ > but > ​But?! This code can *can" put Intel

Re: Do we live within a Diophantine equation?

On 6/18/2018 6:03 PM, smitra wrote: On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result of MRDP implies it is Diophantine. Jason Or you could try to see if QM could be a meta-theory that arises when you

Re: Do we live within a Diophantine equation?

> On 18 Jun 2018, at 00:32, Lawrence Crowell > wrote: > > The Schrödinger equation is integrable for completely unitary systems. This > hold for Hamiltonians that are complex or nonlinear, where perturbation > methods are often used. My thought is that all possible quantum eigenvalues > are

Re: Do we live within a Diophantine equation?

> On 17 Jun 2018, at 15:27, Jason Resch wrote: > > A small correction: there was an error in the definition I have for the > Fibonacci calculation. It should have been (k^2 - kx - x^2)^2 - 1 = 0 > > Below is some Python code that searches for every solution where k and x are > less than

Re: Do we live within a Diophantine equation?

> On 17 Jun 2018, at 02:18, Jason Resch wrote: > > In solving Hilbert's 10th problem > in the negative, > the work of Martin Davis, Yuri Matiyasevich, Hilary Putnam and Julia Robinson > culminated in 1970 with the MRDP theorem >

Re: Do we live within a Diophantine equation?

On 17-06-2018 22:42, Jason Resch wrote: Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result of MRDP implies it is Diophantine. Jason Or you could try to see if QM could be a meta-theory that arises when you try to give a statistical description of

Re: Do we live within a Diophantine equation?

The Davis, Matiyasevich, Putnam, Robinson (DMPR) theorem proves that the solutions for any general element of a Diophantine set is Turing halting, but that any other element may not be. This means the solutions to Diophantine equations are recursively enumerable, and there is a Gödel theorem

Re: Do we live within a Diophantine equation?

How is that any different than simply saying they are computable to arbitrary accuracy, in the Church-Turing sense. Brent On 6/17/2018 3:32 PM, Lawrence Crowell wrote: The Schrödinger equation is integrable for completely unitary systems. This hold for Hamiltonians that are complex or

Re: Do we live within a Diophantine equation?

The Schrödinger equation is integrable for completely unitary systems. This hold for Hamiltonians that are complex or nonlinear, where perturbation methods are often used. My thought is that all possible quantum eigenvalues are computable with Diophantine equations, where some Gödel numbering

Re: Do we live within a Diophantine equation?

Hi Lawrence, Is the evolution of states of the wave function computable? If so then the result of MRDP implies it is Diophantine. Jason On Sunday, June 17, 2018, Lawrence Crowell wrote: > I have Matiyasevich's paper on the MRDP theorem. I have not as yet read > it. I have had this idea that a

Re: Do we live within a Diophantine equation?

I have Matiyasevich's paper on the MRDP theorem. I have not as yet read it. I have had this idea that a general scheme for quantum eigenvalues could by Diophantine. This would then be a sort of universal dovetailer of all possible physical states. Unfortunately this is an area I have thought

Re: Do we live within a Diophantine equation?

A small correction: there was an error in the definition I have for the Fibonacci calculation. It should have been *(k^2 - kx - x^2)^2 - 1 = 0* Below is some Python code that searches for every solution where k and x are less than 100: for k in range(100): for x in range(100): if

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