Math topic Options

[Raijinili]

Math is not about figuring out specific numbers. Calculus, yes. Math, no.

For example, there's the math of logic. One of the theorems in math says that any theory which can say really good things (i.e. things that you know are true) about the natural numbers (1,2,3,...) has to be either wrong (IT PROVES EVERYTHING (even things which aren't true)) or it doesn't say everything.

Another weird thing is that you can't pick a random natural number (positive integer, i.e. 1,2,3,...) with an equal chance of getting any of them.

When you have a prime number (call it p), take any natural numbers (yeah, they're pretty important) and raise it to the p power, then divide by p and take the remainder, and you get that natural number.

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A real number is basically any number which can be written as a decimal number, positive or negative. It takes seven real numbers (no less) to define a cone in three-dimensional space. It takes four to define a sphere. Six to define a line.

It takes five real numbers to define an ellipse on a plane (flat two-dimensional space), while it takes only three to define a circle. It takes seven to define a cube, and nine to define a rectangular prism.

Since it takes three numbers to define a circle, you can associate each circle with a point in 3D space. The set of all points which would also be circles would look like a world in which the Earth is flat, infinite in all directions, and has an endless sky.