Search found 21 matches

by kevbrown
Wed Jul 02, 2008 10:05 pm UTC
Forum: Mathematics
Topic: Careers in mathematics
Replies: 3
Views: 1179

Re: Careers in mathematics

Getting a degree in Math or Physics is like an 'I'm smart' badge (whether that's deserved or not). Getting a degree in math/physics lets you do econ, bio, business, yadda yadda very easily with the appropriate extra training. You'd be surprised how willing people will be to teach you if you have mat...
by kevbrown
Sun Jun 15, 2008 8:51 am UTC
Forum: Mathematics
Topic: Your Axiom of Choice is SILLY
Replies: 60
Views: 8820

Re: Your Axiom of Choice is SILLY

my bad. I'm not so great at internet sarcasm.
by kevbrown
Fri Jun 13, 2008 4:14 pm UTC
Forum: Mathematics
Topic: Your Axiom of Choice is SILLY
Replies: 60
Views: 8820

Re: Your Axiom of Choice is SILLY

That is merely a representation of the number, but I digress. No no no. It's because e4πi/3 is an imaginary number. It doesn't actually exist, silly! It's not a matter of existence versus nonexistence. The numbers we call 'complex numbers' meet certain criteria, and those are useful, and that's per...
by kevbrown
Tue Jun 10, 2008 7:34 am UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

I'll agree with you that the two games aren't exactly equivalent. However, you do still have to play the second round. Does the second round even the distribution back out? I still don't believe that the distribution of the strategy profile between RPS, Atomic, and Cockroach isn't uniform anymore, ...
by kevbrown
Tue Jun 10, 2008 7:19 am UTC
Forum: Mathematics
Topic: Chaotic Systems
Replies: 13
Views: 1810

Re: Chaotic Systems

It isn't one or the other. We haven't 'thrown out' the possibiility of inherent randomness. The standard interpretation of quantum mechanics takes this viewpoint. Chaotic systems would suggest that aspects of the system are unpredictable under small perturbations and a long enough time course. This ...
by kevbrown
Tue Jun 10, 2008 7:02 am UTC
Forum: Mathematics
Topic: Say What? (Limits)
Replies: 3
Views: 1236

Re: Say What? (Limits)

You misread the notation, I believe. See http://en.wikipedia.org/wiki/Limit_%28mathematics%29.

It takes rereading it a few times to get the hang of it.
by kevbrown
Tue Jun 10, 2008 2:42 am UTC
Forum: Mathematics
Topic: What else can we imagine?
Replies: 32
Views: 4228

Re: What else can we imagine?

Imaginary numbers aren't "imaginary" and real numbers aren't "real". If complex numbers had been called two-dimensional numbers, I don't think anyone had ever thought of them as mysterious. I'm not sure I'd characterize complex numbers as uniquely 2 dimensional objects and the q...
by kevbrown
Sun Jun 08, 2008 10:27 pm UTC
Forum: Mathematics
Topic: Your Axiom of Choice is SILLY
Replies: 60
Views: 8820

Re: Your Axiom of Choice is SILLY

I find it funny that you tried to use the WOP to derive the axiom of choice, because the axiom of choice was first introduced by Zermelo to prove the WOP, as mentioned in the wikipedia article you called stupid.
by kevbrown
Thu Jun 05, 2008 5:31 pm UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

1/3 chance of Atomic Bomb 1/3 chance of Cockroach 1/3 chance of {R,P,S} Breaking down RPS gives: 1/9 chance of R, 1/9 chance of P, 1/9 chance of S. Adding these up gives 1/9 *3 = 1/3 as before, leaving it pretty equivalent to RPS. Iterating (unless I misunderstand you and we iterate the whole game) ...
by kevbrown
Thu Jun 05, 2008 8:18 am UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

I'll agree with you that the two games aren't exactly equivalent. However, you do still have to play the second round. You'd have to say what iterating serves. It does not change equilibrium play of {RPS}, Atomic, or Cockroach. It does not change expected outcome (0) for each player. It slightly ch...
by kevbrown
Thu Jun 05, 2008 2:53 am UTC
Forum: Mathematics
Topic: How many degrees in a sphere?
Replies: 12
Views: 13584

Re: How many degrees in a sphere?

I can't wait for CNN's Anderson Cooper AC41,252.961
by kevbrown
Thu Jun 05, 2008 1:50 am UTC
Forum: News & Articles
Topic: Alleged McCain adviser memo: Astroturfing pro-Clinton sites
Replies: 1
Views: 1073

Re: Alleged McCain adviser memo: Astroturfing pro-Clinton sites

I've also heard he didn't really spend 5 and a half years in Vietnam. He was chillin' in Gangster Mansion with Tupac. Oh wait . . .
by kevbrown
Thu Jun 05, 2008 1:12 am UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

Just because two games have the same expected value doesn't make them the same. You might as well say "why bother playing the game in the first place?". I was unclear. What I meant was that playing the extra time doesn't make the new RPSAtomicCock game more 'equivalent' to the old one, be...
by kevbrown
Wed Jun 04, 2008 9:26 pm UTC
Forum: School
Topic: Stanford's EPGY
Replies: 4
Views: 945

Re: Stanford's EPGY

I did epgy math in middle school. It's okay if you're an independent learner, but that begs the question. If you were an independent learner you'd do it on your own anyway. Taking a CC class gives you real interaction with people face to face. That's important, especially as you ask more complex que...
by kevbrown
Wed Jun 04, 2008 8:38 pm UTC
Forum: Mathematics
Topic: Infinite Power Sets
Replies: 12
Views: 1912

Re: Infinite Power Sets

Here's a standard way to think about it: Try to make a list of the association of one element of the naturals to each of its subsets by listing a binary decimal expansion, with a 1 in the nth place if n is in that subset and a 0 otherwise. When these are infinitely long you have an infinite descript...
by kevbrown
Wed Jun 04, 2008 8:09 am UTC
Forum: Mathematics
Topic: Assigning Personality to Numbers
Replies: 51
Views: 6301

Re: Assigning Personality to Numbers

My sister hates 3s so much she wouldn't do computations with them in school, even if it meant the wrong answer. I absolutely love 3. and powers of 3 with the exponent divisible by 3. I also had an aversion to primes, so much that I avoided learning about prime ideals for a long time, because it remi...
by kevbrown
Wed Jun 04, 2008 2:05 am UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

This game is exactly equivalent to rock paper scissors. The only difference is that you play one extra time if you tie with "rock" before declaring it a draw (rock corresponds to normal stuff, cockroach to scissors, bomb to paper). Playing an extra time with the 'tie' of 'normal stuff' is...
by kevbrown
Tue Jun 03, 2008 9:17 pm UTC
Forum: Science
Topic: Australian man claims perpetual motion machine
Replies: 58
Views: 6632

Re: Australian man claims perpetual motion machine

The first sentence on his homepage: "I have come to the true understanding there is more bad than good on this monkey covered rock. you can have the wheel that's it. Nothing else. Those who sit and watch evil are as bad as those who do it. I am only giving you this becuase you already know how ...
by kevbrown
Tue Jun 03, 2008 6:22 pm UTC
Forum: Mathematics
Topic: Basic Game Theory question
Replies: 14
Views: 2230

Re: Basic Game Theory question

I'm not sure why you'd want to simplify it. The distribution of RPS choices in your RPSAtomicCockroach game would still be of interest. Clearly a RPS pure strategy is never strongly dominated, since each can beat cockroach (which beats an atom bomb? I mean, come on). A point can be made that each of...
by kevbrown
Tue Jun 03, 2008 5:55 pm UTC
Forum: Mathematics
Topic: Majoring in Math
Replies: 48
Views: 7811

Re: Majoring in Math

There are plenty of examples of brilliant mathematicians who sucked in college math. Stephen Smale failed nuclear physics and mostly got Bs and Cs in math. What really matters is whether you have a passion for it. Do you do math in your own time? Even if you're having trouble in calculus and computa...

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