The fallacy is that you can't divide by zero. This is not allowed by the laws of mathematics. It doesn't give the result of "infinite;" it gives you the result of "meaningless." If you allow the expression 1/0 in algebra, it is easy to prove that 1=2. So your "ratio" of 5:0 yields no fraction and is null and void.
How's that 1=2 thing work?
@StrategicPlay: What type of math are you studying right now?
I think he means that 1/0 = infinite ; 2/0 = infinite ; therefore 1=2.
What he is saying is wrong.
Any non-zero non-infinite value divided by zero is infinite but not all infinites are the same.
You can easily say that 2/any number will always be greater than 1/the same number because 2>1. Therfore 2/0>1/0 Although that isn't an entirely accurate proof, it explains the concept nicely.
Ummm sorry, but you're wrong.
It is true that not all infinites are equal, howver, all infitinities within the same Aleph set are equal. The limit of 1/x as x approaches zero from the right is positive inifinity and is equal to the limit of 2/x as x approaches zero from the right and is equal to the limit of /x as x approaches zero from the right.
As this relates to the OP's question - the proper course would be to consider the ratio of material left on the board, if you want to work in ratios.
The fallacy is that you can't divide by zero. This is not allowed by the laws of mathematics. It doesn't give the result of "infinite;" it gives you the result of "meaningless." If you allow the expression 1/0 in algebra, it is easy to prove that 1=2. So your "ratio" of 5:0 yields no fraction and is null and void.
How's that 1=2 thing work?
@StrategicPlay: What type of math are you studying right now?
I think he means that 1/0 = infinite ; 2/0 = infinite ; therefore 1=2.
What he is saying is wrong.
Any non-zero non-infinite value divided by zero is infinite but not all infinites are the same.
You can easily say that 2/any number will always be greater than 1/the same number because 2>1. Therfore 2/0>1/0 Although that isn't an entirely accurate proof, it explains the concept nicely.