Christmas Eve Question
28 Dec '12 22:47Are there infinitely many twin primes? That's a proper question to get one's teeth into. None of this mucking about with fairytale nonsense.
28 Dec '12 22:51Originally posted by KeplerI might be rare among pure mathematicians for not caring much about the prime numbers, but almost certainly there are an infinitude of twin primes.
Are there infinitely many twin primes? That's a proper question to get one's teeth into. None of this mucking about with fairytale nonsense.
28 Dec '12 22:54Originally posted by SoothfastAh, but do you have a proof? If not then there is no certainty and the question remains. It's still a better exercise for the noggin than worrying about fairy tale monsters and such like.
I might be rare among pure mathematicians for not caring much about the prime numbers, but almost certainly there are an infinitude of twin primes.
A topic more for the science forum, I reckon.
28 Dec '12 23:09Originally posted by KeplerOf course I don't have a proof. But if I had to place my money on one conjecture or the other, I'd place it on the one that posits an infinite number of twin primes.
Ah, but do you have a proof? If not then there is no certainty and the question remains. It's still a better exercise for the noggin than worrying about fairy tale monsters and such like.
28 Dec '12 23:09Originally posted by KeplerSeems I read a post the other day that suggested,
Ah, but do you have a proof? If not then there is no certainty and the question remains. It's still a better exercise for the noggin than worrying about fairy tale monsters and such like.
28 Dec '12 23:17Originally posted by Grampy BobbyBigger. Larger in size, if size has a meaning for infinities. For example, there are an infinite number of natural numbers (those we count with, 1, 2, 3 etc.) and an infinite number of real numbers (integers, fractions and irrational numbers like root two and pi) but there are more reals than natural numbers.
Seems I read a post the other day that suggested,
"Some infinities are greater than other infinities."
Meaning?
28 Dec '12 23:29Originally posted by johnnylongwoodyAnd he can't have it, neither.
Sheriff Joe Biden will be coming to see you in 2013.
He'll be looking for that .44 of yours.
🙂
28 Dec '12 23:462 editsOriginally posted by Kepler'Infinity (symbol: ∞) refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which can be translated as "unboundedness", itself derived from the Greek word apeiros, meaning "endless".[1] ~wiki
Bigger. Larger in size, if size has a meaning for infinities. For example, there are an infinite number of natural numbers (those we count with, 1, 2, 3 etc.) and an infinite number of real numbers (integers, fractions and irrational numbers like root two and pi) but there are more reals than natural numbers.
28 Dec '12 23:56Originally posted by Grampy BobbyHow can something boundless be greater than another boundless thing? Well, in the case of the numbers I quoted earlier the natural numbers are countable, that's what we do with them, but the reals are not. There are literally too many to count because between every pair of them there is an infinite number of other real numbers lurking. It doesn't matter how close those two numbers get, you always have room for more between them. And to make matters worse, most of those numbers are irrational, the ones we can't write down exactly.
'Infinity (symbol: ∞) refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which can be translated as [b]"unboundedness", itself derived from the Greek word apeiros, meaning "endless".[1] ~wiki
Way beyond my frame of reference but the word "unboundedness" can't help but appeal.
-[/b]
29 Dec '12 00:01Originally posted by Grampy BobbyBut do not be fooled.
'Infinity (symbol: ∞) refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which can be translated as [b]"unboundedness", itself derived from the Greek word apeiros, meaning "endless".[1] ~wiki
Way beyond my frame of reference but the word "unboundedness" can't help but appeal.
-[/b]
29 Dec '12 11:16Originally posted by Grampy BobbyTime is not unbounded although it may be infinite. It had a beginning when this universe began. Whether or not it has an end in the other direction depends on things like the amount of mass, both sorts, in the universe and whether or not dark energy is real or just physicists making it up as they go along. The evidence suggests the observed expansion of the universe is accelerating but no one understands why.
[b]Eternity Past) -------------------- [time /\ human history] ------------------- (Eternity Future[/b]
29 Dec '12 11:30Originally posted by Keplerhttp://bible.cc/2_peter/3-10.htm
Time is not unbounded although it may be infinite. It had a beginning when this universe began. Whether or not it has an end in the other direction depends on things like the amount of mass, both sorts, in the universe and whether or not dark energy is real or just physicists making it up as they go along. The evidence suggests the observed expansion of the universe is accelerating but no one understands why.
29 Dec '12 11:51Originally posted by Grampy BobbyI don't think Peter knew any more, or even as much, about how time and space work as we do now. I am also not in favour of the god of the gaps idea. That is, I am not in favour of using god(s) like wallpaper to paper over the gaps in our knowledge. I am quite happy to admit that I have not the foggiest idea whether god or gods exist but can say that so far "I have no need of the god hypothesis" (Simon Laplace).
http://bible.cc/2_peter/3-10.htm
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