Yes & no.
The interesting part is you get different answers for the continuity of 'things' and the continuity of 'information'. Beginning & end are clear discontinuities for information, but because of the conservation laws it's presumptive that change in physical things requires a continuous process (!). When you go look for the expected continuities where all you have at first is discontinuities of information, gaps, what you tend to find is finite periods of time in which *continuity is developing* in the supporting physical process. Because it involves multiple scales of physical system organization to do it, you could call that the *principle of complexity* but I prefer it as the *principle of continuity* since that's what raises the question, and it's the continuity question that I think is the better marker. English it seems does need to do double duty on some of these issues, and it isn't easy. The difference between referring to information is more or less obvious. Referring to the physical things that little information clues, often gaps in information, can lead you to is not always obvious. English often uses the same words for those two, distinguishing the subjects referred to only by the intent expressed. Wish I knew a way around that. Phil Henshaw ????.?? ? `?.???? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 680 Ft. Washington Ave NY NY 10040 tel: 212-795-4844 e-mail: pfh at synapse9.com explorations: www.synapse9.com > -----Original Message----- > From: Russell Standish [mailto:hpcoder at hpcoders.com.au] > Sent: Friday, June 22, 2007 4:04 PM > To: Phil Henshaw > Subject: Re: [FRIAM] Seminal Papers in Complexity > > > If something begins and ends, then it is not continuous at > the beginning and end points, by definition. Of course it can > be continuous in between, and can also be linear in between. > > I'm not just thrown off by not seeing your intent, I'm being > thrown off because you are not using words according to what > they mean. Even in ordinary English, a process that starts > and stops is discontinuous at those end points. > > Cheers > > On Sat, Jun 23, 2007 at 02:16:47AM -0400, Phil Henshaw wrote: > > No Russ, I said continuous AND begin and end. Try making a linear > > (single slope) curve continuous through a change that > begins and ends. > > I know you're just thrown off because you don't quite see > my intent. > > It's to get better information from the data of change than > is possible > > by converting the data to formulas. Everything has its > use, of course, > > but formulas tend to conceal the precise timing and character of > > temporary natural process changes, that are easily marked and > > characterized using the method I'm describing. > > > > > > Phil Henshaw ????.?? ? `?.???? > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > 680 Ft. Washington Ave > > NY NY 10040 > > tel: 212-795-4844 > > e-mail: pfh at synapse9.com > > explorations: www.synapse9.com > > > > > > > -----Original Message----- > > > From: Russell Standish [mailto:r.standish at unsw.edu.au] > > > Sent: Friday, June 22, 2007 3:31 PM > > > To: sy at synapse9.com; The Friday Morning Applied Complexity > > > Coffee Group > > > Subject: Re: [FRIAM] Seminal Papers in Complexity > > > > > > > > > On Sat, Jun 23, 2007 at 12:03:42AM -0400, Phil Henshaw wrote: > > > > Mike, > > > > Non-linear does not need to be defined with equations. > > > Non-linear can > > > > be a process having continuity. Any process that begins > > > and ends with > > > > continuity (i.e. w/o discontinuity) is inherently > > > non-linear because > > > > it requires finite periods of that have all derivatives all > > > of the same > > > > sign. It 'only' requires is developing a calculus for > > > physical system > > > > rates. Search for 'continuity' on my site for some > > > things. It's a > > > > new non-linear kind of math. > > > > > > > > > > > > > > No - wrong again. Linear processes are also continuous. You > > > really need to learn some maths. > > > > > > Cheers > > > > > > > > > -------------------------------------------------------------- > > > -------------- > > > A/Prof Russell Standish Phone 0425 > 253119 (mobile) > > > Mathematics > > > UNSW SYDNEY 2052 hpcoder at hpcoders.com.au > > > Australia > http://www.hpcoders.com.au > > > > -------------------------------------------------------------- > > > -------------- > > > > > > > > > > -- > > -------------------------------------------------------------- > -------------- > A/Prof Russell Standish Phone 0425 253119 (mobile) > Mathematics > UNSW SYDNEY 2052 hpcoder at hpcoders.com.au > Australia http://www.hpcoders.com.au > -------------------------------------------------------------- > -------------- > > |
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