VIDEO: Divide Infinity by Infinity

Infinity is not a real number

In the standard analysis, the calculation of infinity by infinity is not one, but undefined. The reason for this is easy to understand on closer inspection.

• First of all, note that infinity cannot be recorded as a numerical value at all, as this would then represent the end of infinity, so to speak.
• In mathematics, the term infinite only describes sequences of numbers that approach infinity. This in turn means that infinity is not the real one Counting is to be counted.
• Since the equation x / x = 1 only applies to real numbers, the corresponding calculation rules cannot be applied to the limit value infinite.

This is how the problem of infinity becomes understandable

There mathematics is usually very abstract, it is not easy for many to really imagine the actually logical connections. In this case, it can help to work with suitable images.

• In order to understand the above explanations even more clearly, you can imagine that you would have to distribute an infinite number of apples among an infinite number of people.
• Since you have an infinite number of apples available for each of the infinitely many people, the result is completely arbitrary. mathematically not at all calculable.
• The real solution to the problem is simply that the calculation is infinite by infinity.

The only way out of this dilemma is to leave the paths of standard analysis and uniquely define infinity as a hyper-real number. In this case, infinity through infinity is actually one. What is gained with this, however, is a different story.