>> I'm not reading Max's book, so I don't know exactly what he said, Im reading the quote Jason kindly provided and responding to exactly what Tegmark said.
>>but using FPI as in Everett QM and writing down which of two equally likely >>events you actually experience is an example of bernoulli trials. and the figures I've been stating reflect bernoulli trials precisely. >> The proportion of 1s and 0s both converge to 1/2 in probability. but in doing so call in to question definitions of 'about' 'roughly' and 'almost all'. But then you haven't read the Tegmark quote so you won't be able to add anything substantive about that. >> It is irrelevant that the proportion of subsequences that have exactly >> equally 1s and 0s goes down. Whats irrelevant is the use of proportion of 1s and 0s in determining 'apparent randomness'. It doesn't. Which is my point. The figures for exact proportions were just my arse about tit way of getting there. But still, even though I seemed to get there on my tod, at least I know what a Bernoulli trial is now. Thanks for that. Date: Mon, 3 Mar 2014 21:43:29 -0800 From: [email protected] To: [email protected] Subject: Re: Tegmark and UDA step 3 I'm not reading Max's book, so I don't know exactly what he said, but using FPI as in Everett QM and writing down which of two equally likely events you actually experience is an example of bernoulli trials. The proportion of 1s and 0s both converge to 1/2 in probability. This is exactly the way prediction of probabilities are evaluated experimentally. It is irrelevant that the proportion of subsequences that have exactly equally 1s and 0s goes down. Brent On 3/3/2014 8:32 PM, chris peck wrote: Hi Liz >> I'm not sure I follow. Me neither. >> wrote down your room number each time, you'd in almost all cases find that the sequence of zeros and ones you'd written looked random, with zeros occurring about 50% of the time." there would be no 'about' it were your interpretation right, Liz. It would be all the time, exactly 50%. Hes saying that zeros occur about 50%of the time in the zeros and ones you have written down. That corresponds to the individual bit strings. Not the entire collection of them. >> I guess the sloppy phrasing is he implies 0s happen half the time in most sequences? I suspect its sloppy interpretation rather than sloppy phrasing that implies that. >> I don't know if that is true (it's true for 6 of the 16 sequences above) 6/16 isn't half is it? I measured 1 divided by 2 just now and it still seems to come out as 0.5 here. >> or if it becomes more true (or almost true) with longer sequences. Maybe a mathematician can enlighten me? I wrote a little program Liz that collects together all the bit strings that can be made from 16 bits. Then it counts the number of 1s and 0s in each one. It has a little counter that goes up by one every time there are 8 zeros. there are 65536 combinations. 12870 of them have 8 zeros. 12870 / 65536 * 100 = 19%. 6/16*100 = 37% I don't know about you but 19, being less than 37, suggests to me that the percentage is going down. But ofcourse ask a mathematician if you're not certain of that yourself. >> I admit Max seems a little slapdash in how he phrases things in the chapters I've read so far, presumably because he's trying to make his subject matter seem more accessible. Yeah, which is preferable to people with similar ideas being slap dash in order to make them less accessible. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
