ontolog-forum
[Top] [All Lists]

## Re: [ontolog-forum] Axiomatic ontology

 To: "[ontolog-forum] " Pat Hayes Tue, 12 Feb 2008 14:17:00 -0600
 At 1:48 PM -0500 2/12/08, Bill Andersen wrote: Hi Pat. On Feb 12, 2008, at 12:28 , Pat Hayes wrote: 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 how much of it you have, there is no way even in principle to compute any information about the next item." is true only where you exclude probabilistic estimates (which you might do depending on how you interpret "information"). For example, if you encode the tosses of a coin as a bit stream, as you continue to observe the bit stream, you will be able to make increasing accurate estimates of the probability that the next bit will be a 1. Given the additional knowledge that this is 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. How can you tell that any variable is random based on a finite number of trials? I should have said, one can gain measurable confidence in the hypothesis that it is random. Pat   _________________________________________________________________ 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   ```-- ``` --------------------------------------------------------------------- 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 Re: [ontolog-forum] Axiomatic ontology, (continued) 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 Re: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] Axiomatic ontology, John F. Sowa Re: [ontolog-forum] Axiomatic ontology, Rob Freeman Re: [ontolog-forum] language ambiguity (was: Axiomatic ontology), Jakub Kotowski Re: [ontolog-forum] language ambiguity, John F. Sowa Re: [ontolog-forum] language ambiguity, Schiffel, Jeffrey A