Math isn't that hard, or so they say. Here's a test of how easy math is for you. If I said, X = 20-3^2*2 what is the answer? The correct answer is to do exponentiation first, multiplication/division second, and then addition/subtraction last. So X = 20 - 9 *2 = 20 - 18 = 2. If you don't believe it, type the formula into excel and see what answer it spits out. Trust me, it's two.
Ok, now let's talk about weird math. If I said something is infinite, there's not a bigger number or set now is there? Well, the answer to that isn't simple either. Take the positive integers, 0, 1, 2, 3, etc. Obviously that set contains an infinite number of numbers. Now take all of the numbers between and including 0 to 1. That's an infinite number too. Is one of them bigger? The answer is, believe it or not, drum roll please, YES. The way to prove it is to do a one to one comparison. Take 0 and 1 as they are. Then invert 2 to 1/2, 3 to 1/3, 4 to 1/4. If you fill in the inverted numbers between 0 and 1, you'll realize that the inversion of the positive integers doesn't fill up all of that space. So the numbers between zero to one are a bigger infinity. There turns out to be orders of infinity. So if you really hate someone tell them that you hate them to the infinity of the infinite order (3 is considered tops right now, but it may be due to our limited 3D view of things). They won't be able to top that number.
If that blows your mind, think about the square route of negative one. It's often called "i" or "j". The number really doesn't have any meaning other than solving X^2 + 1 = 0. The strange thing is mathematicians use these numbers especially when periodic data is employed or when a problem can be transformed into complex space, solved, and then transformed back. So even a number that can't possibly exist can be used to solve complex equations.
Any thought that mathematics is logical now seems a little warped, doesn't it?
Ok, now let's talk about weird math. If I said something is infinite, there's not a bigger number or set now is there? Well, the answer to that isn't simple either. Take the positive integers, 0, 1, 2, 3, etc. Obviously that set contains an infinite number of numbers. Now take all of the numbers between and including 0 to 1. That's an infinite number too. Is one of them bigger? The answer is, believe it or not, drum roll please, YES. The way to prove it is to do a one to one comparison. Take 0 and 1 as they are. Then invert 2 to 1/2, 3 to 1/3, 4 to 1/4. If you fill in the inverted numbers between 0 and 1, you'll realize that the inversion of the positive integers doesn't fill up all of that space. So the numbers between zero to one are a bigger infinity. There turns out to be orders of infinity. So if you really hate someone tell them that you hate them to the infinity of the infinite order (3 is considered tops right now, but it may be due to our limited 3D view of things). They won't be able to top that number.
If that blows your mind, think about the square route of negative one. It's often called "i" or "j". The number really doesn't have any meaning other than solving X^2 + 1 = 0. The strange thing is mathematicians use these numbers especially when periodic data is employed or when a problem can be transformed into complex space, solved, and then transformed back. So even a number that can't possibly exist can be used to solve complex equations.
Any thought that mathematics is logical now seems a little warped, doesn't it?
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