Arcesious

09-11-2009, 07:13 PM

Over the years I've come up with some questions about math, where I seem to think that there are 'flaws' in it. I hope that my questions aren't due to a lack of knowledge on my part about the processes of math. I haven't touched Calculus yet. I know 2 + 2 always equals 4, but that part of math isn't flawed as far as I can comprehend.

Here's a few:

1/3 = 0.333...

however, 1/3 + 1/3 + 1/3 = 1. Infinity sure is confusing.

0.5 x 0.5 = .25

0.3 x 0.3 = 0.09

How can two numbers multipled by each other logically become a smaller number? The math says the answer becomes smaller, but how is that physically possible?

10--10 = 20

1--11 = 12

This kind of problem just bothers the heck out of me. An even amount of subtraction signs suddenly makes it addition? How? Physically, subtraction problems like this can't even be possible. You can't get 20 apples by subtracting negative 10 apples. Said negative apples don't even exist if they're in negative amount... Is double subtraction even logically possible as far as human comprehension goes?

Shouldn't 1--11 equal -10 instead of 12? Mathematically it equals 12, but it seems to me that no matter how many subtraction signs you have, it still boils down to 1 -11 = -10 and not 1+11. Why is it that 1---11 = -10 but 1----11 = 12?

Are there any other 'problems' like these you know of? Do you have solutions that make sense that disprove these examples as problems? What's your opinion? Are we humans simply too limited in comprehension to fully understand the perfect empiricism of math? Or are these problems here because math was created as a flawed process by humans, due to our limited comprehension?

My opinion is that math isn't flawed, but simply our understanding of its quantifing processes is flawed. I wonder how our understanding of math would change if we could mentally comprehend the fourth or fifth dimension...

So what do you think?

Here's a few:

1/3 = 0.333...

however, 1/3 + 1/3 + 1/3 = 1. Infinity sure is confusing.

0.5 x 0.5 = .25

0.3 x 0.3 = 0.09

How can two numbers multipled by each other logically become a smaller number? The math says the answer becomes smaller, but how is that physically possible?

10--10 = 20

1--11 = 12

This kind of problem just bothers the heck out of me. An even amount of subtraction signs suddenly makes it addition? How? Physically, subtraction problems like this can't even be possible. You can't get 20 apples by subtracting negative 10 apples. Said negative apples don't even exist if they're in negative amount... Is double subtraction even logically possible as far as human comprehension goes?

Shouldn't 1--11 equal -10 instead of 12? Mathematically it equals 12, but it seems to me that no matter how many subtraction signs you have, it still boils down to 1 -11 = -10 and not 1+11. Why is it that 1---11 = -10 but 1----11 = 12?

Are there any other 'problems' like these you know of? Do you have solutions that make sense that disprove these examples as problems? What's your opinion? Are we humans simply too limited in comprehension to fully understand the perfect empiricism of math? Or are these problems here because math was created as a flawed process by humans, due to our limited comprehension?

My opinion is that math isn't flawed, but simply our understanding of its quantifing processes is flawed. I wonder how our understanding of math would change if we could mentally comprehend the fourth or fifth dimension...

So what do you think?