On 13 Apr 2013, at 15:18, Richard Ruquist wrote:

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Is 10^122 or 10^1000 large enough? Richard

`I think that 10^1000 is large enough to make the Ramanujan limited sum`

`(limited to 10^1000) as large as (1 + 2 + 3 + 4 + 5 + 6 + ... +`

`10^1000).`

`I'm afraid that to get the -1/12, you need to go to infinity, and even`

`do some detour in the complex plane.`

I find alluring that, in the "Riemann sense", 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12 But that

`1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + ... still diverge, although`

`algorithmically slowly.`

Bruno

On Sat, Apr 13, 2013 at 7:33 AM, Bruno Marchal <marc...@ulb.ac.be>wrote:On 12 Apr 2013, at 16:24, Richard Ruquist wrote:Mathematics itself seems rather magical. For instance the sum 1+2+3+4+5.....infinity = -1/12Well, with some convergence criteria!And according to Scott Aaronson's new book when string theorists estimate the mass of a photon they get two components: one being 1/12 and the other being that sum, so the mass is zero, thanks to RamanujanIf that sum is cutoff at some very large number but less thaninfinity,does anyone know the value of the summation.?A very large number. BrunoOn Fri, Apr 12, 2013 at 10:15 AM, Telmo Menezes <te...@telmomenezes.com> wrote:On Fri, Apr 12, 2013 at 3:30 AM, Stathis Papaioannou <stath...@gmail.com> wrote:> On Fri, Apr 12, 2013 at 5:35 AM, Craig Weinberg <whatsons...@gmail.com> wrote:>> >> >> On Thursday, April 11, 2013 3:29:51 PM UTC-4, John Clark wrote: >>> >>> On Thu, Apr 11, 2013 Craig Weinberg <whats...@gmail.com> wrote: >>>>>>> > If matter is deterministic, how could it behave in a randomway?>>> >>> >>> It couldn't. >> >>>> Are you saying then that matter is random, or that it is neitherrandom nor>> deterministic? > > Matter behaves randomly, but probability theory allows us to make > predictions about random events. In my view, randomness = magic. The MWI and Comp are the only theories I've seen so far that do not require magic to explain observed randomness. > > -- > Stathis Papaioannou > > --> You received this message because you are subscribed to theGoogle Groups "Everything List" group.> To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.> To post to this group, send email to everything-list@googlegroups.com.> Visit this group at http://groups.google.com/group/everything-list?hl=en.> For more options, visit https://groups.google.com/groups/opt_out. > > --You received this message because you are subscribed to the GoogleGroups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.To post to this group, send email to everything-l...@googlegroups.com.Visit this group at http://groups.google.com/group/everything-list?hl=en.For more options, visit https://groups.google.com/groups/opt_out. --You received this message because you are subscribed to the GoogleGroups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.To post to this group, send email to everything-l...@googlegroups.com.Visit this group at http://groups.google.com/group/everything-list?hl=en.For more options, visit https://groups.google.com/groups/opt_out.http://iridia.ulb.ac.be/~marchal/ --You received this message because you are subscribed to the GoogleGroups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.To post to this group, send email to everything-list@googlegroups.com.Visit this group at http://groups.google.com/group/everything-list?hl=en.For more options, visit https://groups.google.com/groups/opt_out. --You received this message because you are subscribed to the GoogleGroups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.To post to this group, send email to everything-list@googlegroups.com.Visit this group at http://groups.google.com/group/everything-list?hl=en.For more options, visit https://groups.google.com/groups/opt_out.

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