Re: what relation do mathematical models have with reality?

2005-07-30 Thread Wei Dai
Hal Finney wrote: No doubt this is true. But there are still two somewhat-related problems. One is, you can go back in time to the first replicator on earth, and think of its evolution over the ages as a learning process. During this time it learned this intuitive physics, i.e. mathematics and

Re: what relation do mathematical models have with reality?

2005-07-27 Thread Bruno Marchal
Hi Lee, Thanks for answering all my mails, but I see you send on the list only the one where you disagree. Have you done this purposefully? Can I quote some piece of the mail you did not send on the list? I will answer asap. Also, for this one, I did not intend to insult you. Sorry if it

Re: what relation do mathematical models have with reality?

2005-07-27 Thread Bruno Marchal
Le 27-juil.-05, à 00:12, Aditya Varun Chadha a écrit : I think a reconciliation between Bruno and Lee's arguments can be the following: Thanks for trying to reconciliate us :) Our perception of reality is limited by the structure and composition of brains. (we can 'enhance' these to be

RE: what relation do mathematical models have with reality?

2005-07-27 Thread Lee Corbin
Hal wrote Brent Meeker wrote: In practice we use coherence with other theories to guide out choice. With that kind of constraint we may have trouble finding even one candidate theory. Well, in principle there still should be an infinite number of theories, starting with the data is

RE: what relation do mathematical models have with reality?

2005-07-26 Thread Stathis Papaioannou
Lee Corbin writes: It's just amazing on this list. Does no one speak up for realism? The *default* belief among *all* people up until they take their first fatal dive into a philosophy book is that there is an ordinary three-dimensional world that we are all running around in. (Yes---one

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Bruno Marchal
Hi Stephen, I merely wish to comprehend the ideas of those that take a Pythagorean approach to mathematics; e.g. that Mathematics is more real than the physical world - All is number. One thing that I have learned in my study of philosophy is that no single finite model of reality can be

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Bruno Marchal
Le 23-juil.-05, à 08:14, Hal Finney a écrit : My current view is a little different, which is that all of the equations fly. Each one does come to life but each is in its own universe, so we can't see the result. But they are all just as real as our own. In fact one of the equations might

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Bruno Marchal
Le 26-juil.-05, à 02:17, Lee Corbin a écrit : Look, it's VERY simple: take as a first baby-step the notion that the 19th century idea of a cosmos is basically true, and then add just the Big Bang. What we then have is a universe that operates under physical laws. So far---you'll readily

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Bruno Marchal
Le 26-juil.-05, à 04:06, Lee Corbin a écrit : Well, all that I ask is that the *basics* be kept firmly in mind while we gingerly probe forward. The basics (basic epistemology, that is) include 1. the map is not the territory, and perception is not reality This is ambiguous. A trivial

RE: what relation do mathematical models have with reality?

2005-07-26 Thread Lee Corbin
Bruno writes Look, it's VERY simple: take as a first baby-step the notion that the 19th century idea of a cosmos is basically true, and then add just the Big Bang. What we then have is a universe that operates under physical laws. So far---you'll readily agree---this is *very* simple

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Aditya Varun Chadha
I think a reconciliation between Bruno and Lee's arguments can be the following: Our perception of reality is limited by the structure and composition of brains. (we can 'enhance' these to be able to perceive and understand 'more', but at ANY point of time the above limitation holds). I think

Re: what relation do mathematical models have with reality?

2005-07-26 Thread Stephen Paul King
the strange terms that we use. ;-) Kindest regards, Stephen - Original Message - From: Aditya Varun Chadha [EMAIL PROTECTED] To: everything-list@eskimo.com Sent: Tuesday, July 26, 2005 6:12 PM Subject: Re: what relation do mathematical models have with reality? I think a reconciliation

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Hal Finney
Stephen Paul King wrote: BTW, Scott Aaronson has a nice paper on the P=NP problem that is found here: http://www.scottaaronson.com/papers/npcomplete.pdf That describes different proposals for physical mechanisms for efficiently solving NP-complete problems: things like quantum computing

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Hal Finney
Brent Meeker wrote: [Hal Finney wrote:] When you observe evidence and construct your models, you need some basis for choosing one model over another. In general, you can create an infinite number of possible models to match any finite amount of evidence. It's even worse when you

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Brent Meeker
Hal Finney wrote: Brent Meeker wrote: [Hal Finney wrote:] When you observe evidence and construct your models, you need some basis for choosing one model over another. In general, you can create an infinite number of possible models to match any finite amount of evidence. It's even worse

RE: what relation do mathematical models have with reality?

2005-07-25 Thread Lee Corbin
Aditya writes Although it is of course debatable, I hold that what we call reality is our minds' understanding of our sensory perceptions. It's just amazing on this list. Does no one speak up for realism? The *default* belief among *all* people up until they take their first fatal dive into

RE: what relation do mathematical models have with reality?

2005-07-25 Thread Lee Corbin
Hal writes I'd say they are *less* than models of reality. They are just consistency conditions on our models of reality. They are attempts to avoid talking nonsense. But note that not too long ago all the weirdness of quantum mechanics and relativity would have been regarded as

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Stephen Paul King
relation do mathematical models have with reality? Aditya writes Although it is of course debatable, I hold that what we call reality is our minds' understanding of our sensory perceptions. It's just amazing on this list. Does no one speak up for realism? The *default* belief among *all

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Russell Standish
On Mon, Jul 25, 2005 at 05:17:37PM -0700, Lee Corbin wrote: Aditya writes Although it is of course debatable, I hold that what we call reality is our minds' understanding of our sensory perceptions. It's just amazing on this list. Does no one speak up for realism? The *default* belief

Fw: Fw: what relation do mathematical models have with reality?

2005-07-25 Thread Stephen Paul King
Hi Hal, Here is Scott's responce. Onward! Stephen - Original Message - From: Scott Aaronson [EMAIL PROTECTED] To: Stephen Paul King [EMAIL PROTECTED] Sent: Monday, July 25, 2005 9:02 PM Subject: Re: Fw: what relation do mathematical models have with reality? Hi Stephen, It's

RE: what relation do mathematical models have with reality?

2005-07-25 Thread Lee Corbin
Russell writes Sadly, your wish for the common sense understanding of reality to hold will be thwarted - the more one thinks about such things, the less coherent a concept it becomes. Well, all that I ask is that the *basics* be kept firmly in mind while we gingerly probe forward. The basics

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Stephen Paul King
and am having a hardtime finding the middle ground. ;-) Onward! Stephen - Original Message - From: Lee Corbin [EMAIL PROTECTED] To: everything-list@eskimo.com Cc: EverythingList everything-list@eskimo.com Sent: Monday, July 25, 2005 10:06 PM Subject: RE: what relation do mathematical

Re: what relation do mathematical models have with reality?

2005-07-25 Thread Russell Standish
On Mon, Jul 25, 2005 at 07:06:50PM -0700, Lee Corbin wrote: For most of us in this list, the 3+1 dimensional spacetime we inhabit, with its stars and galaxies etc is an appearance, phenomena emerging out of constraints imposed by the process of observation. Right there is the problem.

Re: what relation do mathematical models have with reality?

2005-07-24 Thread Aditya Varun Chadha
Greetings, Here's my Rupee 1 on the connection between abstract models and reality; Although it is ofcourse debatable, I hold that what we call reality is our minds' understanding of our sensory perceptions. Thus the notion of (our) reality depends on: 1. The nature of mind Let's assume

Re: what relation do mathematical models have with reality?

2005-07-24 Thread Hal Finney
Brent Meeker writes: Here's my $0.02. We can only base our knowledge on our experience and we don't experience *reality*, we just have certain experiences and we create a model that describes them and predicts them. Using this model to predict or describe usually involves some calculations

Re: what relation do mathematical models have with reality?

2005-07-24 Thread Russell Standish
On Sat, Jul 23, 2005 at 06:09:39PM +1000, [EMAIL PROTECTED] wrote: On that note I'm not sure Wheeler's description is the same. In my idea of the calculus all there is is the sheets of paper. There are no symbols (no intrinsic representation). There are intrinsic rules of formation and

Re: what relation do mathematical models have with reality?

2005-07-24 Thread Stephen Paul King
obtain in the first place. Kindest regards, Stephen - Original Message - From: Aditya Varun Chadha [EMAIL PROTECTED] To: everything-list@eskimo.com Sent: Sunday, July 24, 2005 2:20 AM Subject: Re: what relation do mathematical models have with reality? Greetings, Here's my Rupee 1

Re: what relation do mathematical models have with reality?

2005-07-24 Thread Hal Finney
Forwarded on behalf of Brent Meeker: On 24-Jul-05, you wrote: Brent Meeker writes: Here's my $0.02. We can only base our knowledge on our experience and we don't experience *reality*, we just have certain experiences and we create a model that describes them and predicts them. Using

Re: what relation do mathematical models have with reality?

2005-07-23 Thread Hal Finney
Colin Hales writes: The idea brings with it one unique aspect: none of the calculii we hold so dear, that are so wonderful to play with, so poweful in their predictive nature in certain contexts, are ever reified. None of them actually truly capture reality in any way. They only appear to in

Re: what relation do mathematical models have with reality?

2005-07-23 Thread [EMAIL PROTECTED]
Hal Finney writes: : Paper in white the floor of the room, and rule it off in one-foot : squares. Down on one's hands and knees, write in the first square : a set of equations conceived as able to govern the physics of the : universe. Think more overnight. Next day put a better set of

Re: what relation do mathematical models have with reality?

2005-07-23 Thread Stephen Paul King
Hi Brent, - Original Message - From: Brent Meeker [EMAIL PROTECTED] To: everything-list@eskimo.com Sent: Friday, July 22, 2005 8:31 PM Subject: Re: what relation do mathematical models have with reality? On 22-Jul-05,Stephen P. King wrote: Hi Brent, Ok, I am rapidly loosing

Re: what relation do mathematical models have with reality?

2005-07-23 Thread Brent Meeker
On 23-Jul-05, you wrote: Hi Brent, - Original Message - From: Brent Meeker [EMAIL PROTECTED] To: everything-list@eskimo.com Sent: Friday, July 22, 2005 8:31 PMMichael Godfrey [EMAIL PROTECTED] Date Subject: Re: what relation do mathematical models have with reality? On 22

Re: what relation do mathematical models have with reality?

2005-07-22 Thread Stephen Paul King
Hi Brent, Ok, I am rapidly loosing the connection that abstract models have with the physical world, at least in the case of computations. If there is no constraint on what we can conjecture, other than what is required by one's choice of logic and set theory, what relation do mathematical