Mar 28, 2013 12:35 AM GMT
Somethings to wrap your mind around.
calibro saidumm... i thought everyone learned those things in high school
Rhi_Bran saidAnother one is that there's an infinite set of infinites between any two numbers. As in, between 1 and 2, there are an infinite amount of decimal numbers. So, we can think of the theoretical distance between two sets of whole numbers as two infinite universes. But that seems silly, right?
And let's say we compare the infinity between 1 and 2 to the infinity between 1 and 3. The infinity between 1 and 3 contains the infinity between 1 and 2
The accountant one is dumb, and is more a trick question than any sort of mind-boggling concept in math
And these are nowhere near the most controversial concepts in math, aside from maybe those which deal with infinity.
Rhi_Bran saidAnd these are nowhere near the most controversial concepts in math, aside from maybe those which deal with infinity.
Suddenly, my odds of winning go from 1 in 1,000 to 1 in 400
This relates to the 3 door problem, BECAUSE THE DOOR HE OPENS DOES NOT HAVE THE PRIZE- so you know it cant be the right one. Similarly, the 600 numbers eliminated, do not hold the winning combination!
Cardinal724 saidThe monty halt problem really isn't so bad to wrap your head around.
There are 3 scenario:
1) You pick a door with a goat. The host then is forced to open the other door with the goat, leaving the car behind the last door. So if you switch you get the car.
2) You pick the other door with a goat. The host is forced to open the first door with the goat, leaving the car. So if you switch you get the car.
3) You pick the door with the car. The host then has to open one of the two remaining doors, but both have goats. So if you switch you get a goat.
From this you can see, switching gives you a 2/3 chance of winning.
neosyllogy saidRhi_Bran saidAnd these are nowhere near the most controversial concepts in math, aside from maybe those which deal with infinity.
To be clear: these aren't controversial concepts in math at all. They are mathematical concepts (except Benford's law, which is a statistical observation) that are controversial among the larger populace. They're all quite simple mathematically, merely non-intuitive for many.
Also, each of the problems was nicely explained except Benford's law. In part this is because it isn't a "mathematical fact". It's a statistical observation. It does however have some presumptive explanations. I couldn't find anything equally simple to the rest of what was presented here, but in case anyone wanted:
tennsjock said9.999... reasons that .999... is 1: