Science General Discussion

Started by Legend, Sep 02, 2014, 07:17 PM

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the-pi-guy


Legend

Quote from: the-Pi-guy on Jul 29, 2015, 11:37 PMe, d, e,=1438213019 link=msg=114036]
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,  
FIXED!!!!


Legend


the-pi-guy

Math!  

Suppose the set n
{1,2,3,4,5,6,....

Now double every number in the set.  
{2,4,6,8,10,12,....

According to that, n and 2n have the same length.  Because every number in n corresponds to exactly 1 number in 2n and vice versa.  

But every number in 2n occurs in n, and n also includes lots of other numbers, 2n-1 and 2n.  So by that logic the first set should have twice as many numbers.  


{1,2,3,4,5,6,7,.....
Now square every number
{1,4,9,16,25,36,49,....

Same deal, except way bigger difference.  

Infinity is weird.

Dr. Pezus

To infinity...and beyond!

darkknightkryta

Quote from: the-Pi-guy on Aug 04, 2015, 11:03 PMMath!  

Suppose the set n
{1,2,3,4,5,6,....

Now double every number in the set.  
{2,4,6,8,10,12,....

According to that, n and 2n have the same length.  Because every number in n corresponds to exactly 1 number in 2n and vice versa.  

But every number in 2n occurs in n, and n also includes lots of other numbers, 2n-1 and 2n.  So by that logic the first set should have twice as many numbers.  


{1,2,3,4,5,6,7,.....
Now square every number
{1,4,9,16,25,36,49,....

Same deal, except way bigger difference.  

Infinity is weird.
Good ol' Discrete Math.  I mean... fudge Discrete Math.  dang "proofs"

Dr. Pezus


DD_Bwest


the-pi-guy

I think psychologically infinity is weird.  
Not just the fact that it's counter intuitive from everything we know from numbers.  
But it's almost like it's usage has made it seem small.  

"Oh yeah, well I have an infinite number of tacos!"

It's thrown around almost like the number 6, and yet's its so gigantically bigger than anything we can imagine.  
It's well, infinite.  But reading about Graham's number, it's like this is CRAZY! But really it's like well in the "eyes of infinity, that number is practically 0."  And yet that number is stupidly huge.  So unimaginably stupidly huge.  G1 is already stupidly huge.  

Legend


Legend


Aura7541


Legend

Quote from: Aura7541 on Aug 21, 2015, 12:48 AMHmmmm, a Martian fossil (if this is on Mars)?
It's just a cool rock.

Mmm_fish_tacos

That's no rock.

Also I guess they didn't want to point out the dragon/snake head?