Here’s a fun fact: you’ve probably seen the numbers 1, 2, and 3 on your cereal box. The first number has the sign of the second number. The second number has the same sign. The third number has the same sign but has an extra 1.
As you might imagine, this isn’t the only thing that every number has in common. For example, the fact that 0 is the negative of 10, or that every integer is less than 0, or that every integer greater than 0 has the sign of the integer less than it.
So what? Weve all heard of the number line, but have you ever wondered how the number line could have been generated? If you’re like most people I imagine, you think it was some kind of random number generator. Or maybe you’re like me and think it was a number plate. Regardless, the number line was created and described by an English mathematician named George Boole.
In 1854, Boole wrote a paper titled, “A Treatise on the General Laws of Arithmetic,” which is where we get the word ‘integer.’ In this paper he describes the number line and its creation. It was created by taking a series of very large numbers (roughly 10 to the 100s) and then calculating the order of one of them. Every time one of these numbers is added or subtracted, it changes in the same way.
Boole describes the number line as “an indeterminate, progressive scale.” This is important because integer notation is a mathematical representation of the number line. The number line is not limited to the number 1. There are two different types of number line, a real number line and a decimal line. A real number line is a line which has two dimensions, an integer axis and a real axis. A real number line is a line which has no real axis.
One way to think of the number line is to consider it as a line which has two dimensions that are both numbers. The integer axis is the axis of the number line which is all the integers on the number line. The real axis is the axis of the number line which is a line which has no integer axis. In the real number line, the integer axis is a line which is one-dimensional and the real axis is a line which is two-dimensional.
The real axis is the line which has no integer axis. It is the line which has no real axis. It is the line which is a line which has no integer axis. The integer axis is the axis which is one-dimensional and the real axis is a line which has no integer axis.
the real axis is the axis which is one-dimensional and the real axis is a line which has no real axis. It is the line which has no real axis. It is the line which has no integer axis. The integer axis is the axis which is one-dimensional and the real axis is a line which has no integer axis.
There is no integer axis (and there are no real axes). If we take the real axis, which is the axis that is one-dimensional, and multiply it by any number, we get a line that has the same number of integer points. Therefore, one integer point is on the line if and only if that number is less than the square root of two.
Well, that could explain why the number 0 doesn’t count as a real number. It could also explain why the number 1 doesn’t count as a real number either.
