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jaap wrote:njperrone wrote:jaap wrote:And I thought is was common knowledge that sums can only be taken over a countable number of things, and Sigma notation implies that. Summing over an uncountably infinite number of things is impossible, unless you use infinitesimals and that just results in integration.
That statement is itself a contradiction. Because infinity itself is uncountable.
The integers are countably infinite, which is what I meant with countable in the above. The reals are uncountably infinite. The latter means roughly speaking that you cannot use an index number xi to count off all the reals, even if you could count for an infinite amount of time.
QuigleyQ wrote:I'm too young (and also not Gauss) to have written any papers yet, but my girlfriend's grandfather has an Erdős number of 1. So I like to pretend I have a 3-point-something.
skullturf wrote:QuigleyQ wrote:I'm too young (and also not Gauss) to have written any papers yet, but my girlfriend's grandfather has an Erdős number of 1. So I like to pretend I have a 3-point-something.
Cool!
Out of curiosity, do you mind if I ask you who your girlfriend's grandfather is/was?
cmacis wrote:But there can be only one 0, also no more 1s are possible. If you hunt out the 1s you might get a 2.
Proginoskes wrote:cmacis wrote:But there can be only one 0, also no more 1s are possible. If you hunt out the 1s you might get a 2.
The people with Erdos numbers 1 and 2 are listed online. No one bothers with the 3s, because there are so many of us. (Sniff!)
Yes, I'm a 3 ... Erdos -> Nesetril -> Robin Thomas -> me.
skullturf wrote:delooper -- we may or may not know each other. Of course, different people reveal different amounts of information about themselves on the internet, but I am a mathematician who's originally from British Columbia and did my BSc and PhD in that province.
(I'm also a 3 by the way.)
NathanielJ wrote:My most recent paper (well, preprint) is arXiv:1203.1633 [cs.CC], which is by far the most fun paper I've written. My Erdos fish is 3, through this paper with Man-Duen Choi.
Talith wrote:Your article got a mention in a weekly maths podcast if you're interested. http://pulse-project.org/node/417 time - 41:30.
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