ontolog-forum
[Top] [All Lists]

## Re: [ontolog-forum] randomness and information

 To: "[ontolog-forum] " Pat Hayes Wed, 13 Feb 2008 00:58:26 -0600
 At 9:46 AM +0800 2/13/08, Rob Freeman wrote: On Feb 13, 2008 5:19 AM, Pat Hayes wrote: > > But OK, let me accede to my own strictures. You are right, any variable > which incorporates a degree of chance may be called 'random'; and Sean is > right that a sampling of such values may well provide statistical > information about likelihoods. Nevertheless, my original point still holds. > When we are talking about what is usually called a 'random sequence' of > numbers or bits, as spoken of in Kolmogoroff theory, what makes such a > sequence have maximal information density is that there is no way to compute > any one of its values from all the others. I think that's right Pat. But, with respect to you all, I'm not talking about extracting information about the next bit. What then do you mean by 'random'? Let's try another approach. Given a sequence random by this definition. How many distinct patterns can you find in it? The question is meaningless. What counts as a 'pattern', and what makes one distinct from another? More seriously, its based on a misunderstanding. Any particular sequence can be viewed as a determinate sequence, and once generated it can be reproduced exactly. The randomness inheres in the process which generated it in the first place. It's random when the only way to generate it again is to store it and read it back out: no shorter algorithm is possible (Kolmogoroff again). Pat ```-- ``` --------------------------------------------------------------------- IHMC               (850)434 8903 or (650)494 3973   home 40 South Alcaniz St.       (850)202 4416   office Pensacola                 (850)202 4440   fax FL 32502                     (850)291 0667    cell http://www.ihmc.us/users/phayes      phayesAT-SIGNihmc.us http://www.flickr.com/pathayes/collections ``` _________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx    (01) ```
 Current Thread [ontolog-forum] randomness and information, Rob Freeman Re: [ontolog-forum] randomness and information, Pat Hayes Re: [ontolog-forum] randomness and information, Pat Hayes <= Message not available Re: [ontolog-forum] randomness and information, Rob Freeman