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[GSL] Code A Ro32 Day 5 / Code S Ro32 Group F - Page 83

Forum Index > StarCraft 2 Tournaments
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latan
Profile Joined July 2010
740 Posts
Last Edited: 2011-01-10 18:15:17
January 10 2011 18:14 GMT
#1641
On January 10 2011 21:25 mpupu wrote:
Show nested quote +
On January 10 2011 17:39 latan wrote:
On January 10 2011 17:14 rawk wrote:
On January 08 2011 14:00 JoeSchmoe wrote:
On January 07 2011 22:12 Taf the Ghost wrote:
On January 07 2011 22:04 Silidons wrote:
On January 07 2011 21:50 Jacobs Ladder wrote:
On January 07 2011 21:47 kuroshiro wrote:
On January 07 2011 21:39 timmyfred wrote:
On January 07 2011 21:38 shaunnn wrote:
Doing a maths degree and ive literally never heard of greater infinity rofl, pretty sure thats complete bs


I have a math degree, and have also never heard of it. Why? Because the concept of infinity literally doesn't allow for anything greater than it.


Uh... some infinities are larger than others dude. I'm no maths grad so sorry for the bad example but: e.g.

inf/exp(inf) = 0

by that reasoning some infinities are `greater' than others. I'm also pretty sure that last time I spoke with a maths grad they were telling me that there's much more formal ways to prove that's the case.

Its all about limits. Think about the two functions f(x)=X and f(x)=x^2. Intuitively you know that x^2 gets bigger faster, so if you consider x^2 going to infinity and x going to infinity both of these eventually become infinity but X^2 is a bigger infinity.

(going to infinity meaning X becoming closer and closer to infinity)

That's my simplistic explanation from a engineering student thats awful at math.


http://en.wikipedia.org/wiki/Limit_(mathematics)


theres actually no such thing as a bigger infinity. f(x)=x^2 only approaches infinity faster than f(x)=x does. they will both only be infinitely approaching infinity, no such thing as a "bigger" infinity.

only in 1st yr of college but in calc I


The guy you quoted is wrong, but doesn't mean you're correct. f(x) = x & f(x) = x^(2) can be mapped to each other, so they're the equally "sized" of infinity (we'll ignore that there's conception of "size" with what we're talking about, but that'll pickle your brain if you spend too much time thinking about it).

But f(x) = x is a "countable" infinity ( http://en.wikipedia.org/wiki/Countable_infinity) while you can map all of the numbers between 0 and 1 to the "uncountable" infinity ( http://en.wikipedia.org/wiki/Uncountable_infinity ). This is more logic theory than all that advanced of mathematics, but, really, it will pickle your brain. That isn't a joke, as the stuff doesn't make any concrete "sense" in the physical world and are mathematical constructs (though important in Set theory). So don't get too hung on up on it.


No he is correct. He is saying that there can be no number greater than infinity, you are referring to the cardinality of a infinite set. It's true this could be different for infinite sets but that is a different topic.

Where did Shaunnn and timmyfred get their math degrees from / working on them at. I learned freshman year of college that that there are an infinite amount on infinities. Take the largest value of f(x) = x and plug it inot g(x) = x^2. Your infinity just got larger.


but that's only notation, you can't do number algebra on cardinalities (unless they're finite).


You absolutely can. Check out the "Cardinal Arithmetic" section in here: http://en.wikipedia.org/wiki/Cardinal_number


I have chosen my words carefully. from the wiki you link:

"We can define arithmetic operations on cardinal numbers that generalize the ordinary operations for natural numbers. It can be shown that for finite cardinals these operations coincide with the usual operations for natural numbers. Furthermore, these operations share many properties with ordinary arithmetic."

for infinite cardinals it doesn't work quite like that. hence why i put the word number in front of algebra.
twiitar
Profile Joined November 2010
Germany372 Posts
Last Edited: 2011-01-11 14:53:25
January 11 2011 14:52 GMT
#1642
Why the hell are you guys discussing maths when today was clearly the most interesting day of GSL in 2011 so far? I mean, seriously - people constantly complained about how games were too short and people always cheese and all-in, today's the absolute opposite and you discuss maths? :p
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