Infinity is not infinite
Is the singularity at the center of a black hole a natural divide by zero error? Is it really infinitely dense? What about the loss of information?
The problems caused by math's inability to deal with the concept of infinity are mounting. You've probably seen the "proof" that 1 = 2, and the proof that there are an infinite number of primes, yet there are decidedly less primes than reals. How can one infinity be less than another? If this is possible, then shouldn't it be possible to say that one quantum that has surpassed the limitations of real numbers is decidedly more or less than another similar quantum? Or that they can be added or subtracted, multiplied or divided? Shouldn't mathematics be able to deal with the concept of infinity without having to lose information?
A truly perfect form of math would have no errors, no exceptions. That's why I believe it is necessary that a system of math capable of handling such values be developed, just like a system was developed to handle the square roots of negative numbers. I realize this seems an impossible task, but so did the ideas of negative numbers and the square root of -1, until someone finally made them work.
I'm sure when a black hole collapses in on itself, the universe doesn't crash with a divide by zero exception.
The problems caused by math's inability to deal with the concept of infinity are mounting. You've probably seen the "proof" that 1 = 2, and the proof that there are an infinite number of primes, yet there are decidedly less primes than reals. How can one infinity be less than another? If this is possible, then shouldn't it be possible to say that one quantum that has surpassed the limitations of real numbers is decidedly more or less than another similar quantum? Or that they can be added or subtracted, multiplied or divided? Shouldn't mathematics be able to deal with the concept of infinity without having to lose information?
A truly perfect form of math would have no errors, no exceptions. That's why I believe it is necessary that a system of math capable of handling such values be developed, just like a system was developed to handle the square roots of negative numbers. I realize this seems an impossible task, but so did the ideas of negative numbers and the square root of -1, until someone finally made them work.
I'm sure when a black hole collapses in on itself, the universe doesn't crash with a divide by zero exception.
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