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## Re: [ontolog-forum] Axiomatic ontology

 To: "[ontolog-forum] " "Sharma, Ravi" Tue, 12 Feb 2008 11:18:20 -0700
 Jeffrey How do we test for randomness, you described white noise, what are the techniques in Statistics (stochastic or indeterminate sense) and mathematics? How does Monte Carlo or Latin Hypercube enter this determination, i.e. number of trials and distributions for them? Thanks.   Ravi (Dr. Ravi Sharma) Senior Enterprise Architect Vangent, Inc. Technology Excellence Center (TEC) 8618 Westwood Center Drive, Suite 310, Vienna VA 22182 (o) 703-827-0638, (c) 313-204-1740 www.vangent.com From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of Schiffel, Jeffrey A Sent: Tuesday, February 12, 2008 1:08 PM To: [ontolog-forum] Subject: Re: [ontolog-forum] Axiomatic ontology   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 AM To: 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 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.   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
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 Current Thread Re: [ontolog-forum] Axiomatic ontology, (continued) 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 Re: [ontolog-forum] Axiomatic ontology, Rob Freeman