Quote:
Originally Posted by David Sklansky
Too bad there is no way to bet.
(By the way I find it interesting that some mathematicians denigrate gambling type probability questions. There is little doubt in my mind it is because to do them creatively and quickly takes pure smarts and no advanced type knowledge. So if you are well educated, knowledgeable, but only semi smart, you can't hide that third fact when tackling these questions as you can when addressing more obscure ones. I don't think it is a coincidence that two of the most educated math science guys never go to the Poker Theory or Probability forums to discuss those questions.)
No way to bet, but thankfully we CAN try to make coherent arguments to defend our positions. It is the latter thing you failed to do.
And your aside is just awful. Mathematicians - like myself - denigrate your quaint little gambling type probability questions because they are fundamentally uninteresting in comparison to the type of math researchers are working on. They might be fun little puzzles to play with, but they will never be anything beyond toys to anyone seriously into mathematics. Mathematicians aren't interested in just going around proving their intellectual superiority, they are interesting in discovering deep and powerful truths. It has nothing to do with educated mathematicians being unable to do probability - I can't believe I'm having to refute such a ridiculous position.
The basic theme that seems to keep coming up is that you like playing around with this class of problems and have done so for decades. This is fine. What is not fine is trying to use competency on this particular class of problems as some sort of bright indicator for someones intellectual prowess. It reaks of "i'm good at x, and if anyone else is not good at x, they are stupider than me". You are massively overvaluing your own intelligence here at the expense of skills accrued over a large amount of time playing around with these types of puzzles. So when one person who is obviously smart, obviously accomplished, and has a phd doesn't immediately grasp a particular kind of problem, and use this to want to bet on their inability to accomplish other things like a phd in mathematics or whatever else is more or less just entirely nonsense. No part of your cute story stands up. Your implied theory on human intelligence doesn't work, your just hilariously false view of why mathematicians might not care about these problems, and the oh so subtle patting your own back about how intelligent you are because you like this class of problems is just the icing on the cake.
Note that I've taught thousands of students in mathematics over a range of disciplines. Little probability problems as a class aren't particularly unique in the field of mathematics at being able to suss out someones sort of raw intelligence, or whatever you are inaccurately going for. We work hard to inculcate a sense of mathematical maturity that grows creative and rigorous problem solvers across a range of disciplines. Probability isn't in any way special here.