ontolog-forum
[Top] [All Lists]

Re: [ontolog-forum] Axiomatic ontology

 To: "[ontolog-forum] " "Schiffel, Jeffrey A" Tue, 12 Feb 2008 12:08:00 -0600
 A series of unfair coin tosses can easily be random. The distribution of the random variable will not be uniform (as is the case of a fair coin), but it may still be random. It is just that the probabilities must be described by a different distribution. Pink noise is a simple example, since the randomness compared to white noise is red-shifted.   -- Jeffrey Schiffel  From: Pat Hayes [mailto:phayes@xxxxxxx] Sent: Tuesday, February 12, 2008 11:28 AMTo: Barker, Sean (UK)Cc: [ontolog-forum] Subject: Re: [ontolog-forum] Axiomatic ontology At 10:14 AM +0000 2/12/08, Barker, Sean (UK) wrote: Pat's claim "The definition of a random sequence is that no matter howmuch of it you have, there is no way even in principle to compute anyinformation about the next item." is true only where you excludeprobabilistic estimates (which you might do depending on how youinterpret "information"). For example, if you encode the tosses of acoin as a bit stream, as you continue to observe the bit stream, youwill be able to make increasing accurate estimates of the probabilitythat the next bit will be a 1. Given the additional knowledge that thisis the encoding of coin flips, you will also be able to estimate the probability that it is a fair coin. No, wait. A series of tosses of an unfair coin is not a random sequence. One gets randomness just when the actual probability of each toss being a head is 0.5 precisely. What you say above is correct, of course, but it can be translated as: if a series of bits is not random, this can be detected with increasing accuracy as the series gets longer. Also, of course, if it is random, this can also be detected (if it were previously unknown), but that does not mean that any particular toss can be predicted. Pat ```-- ``` ---------------------------------------------------------------------IHMC               (850)434 8903 or (650)494 3973   home40 South Alcaniz St.       (850)202 4416   officePensacola                 (850)202 4440   faxFL 32502                     (850)291 0667    cellhttp://www.ihmc.us/users/phayes      phayesAT-SIGNihmc.ushttp://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 Re: [ontolog-forum] Axiomatic ontology, (continued) Re: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, Sharma, Ravi Re: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, Sharma, Ravi Re: [ontolog-forum] Axiomatic ontology, Pat Hayes Message not availableRe: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, Pat Hayes Re: [ontolog-forum] Axiomatic ontology, John F. Sowa Re: [ontolog-forum] Axiomatic ontology, Barker, Sean (UK) Re: [ontolog-forum] Axiomatic ontology, Pat Hayes Re: [ontolog-forum] Axiomatic ontology, Schiffel, Jeffrey A <= Re: [ontolog-forum] Axiomatic ontology, Sharma, Ravi Re: [ontolog-forum] Axiomatic ontology, Schiffel, Jeffrey A Re: [ontolog-forum] Axiomatic ontology, Pat Hayes Re: [ontolog-forum] Axiomatic ontology, Bill Andersen Re: [ontolog-forum] Axiomatic ontology, John F. Sowa Re: [ontolog-forum] Axiomatic ontology, Pat Hayes Message not availableRe: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, John F. Sowa Re: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, John F. Sowa