Why infinity should be considered as a value.

Why infinity should be considered as a value and not just a concept.

Some mathematicians argue that infinity cannot be used in formulas and equations because it is not a set value. I disagree. Why? Because infinity can vary.

If I take between 1 and 2, there are an infinite amount of decimals. Now add to between 1 and 2 what is between 2 and 3. You have the infinite values of between 1 and 2 plus the infinite values of between 2 and 3. So your infinity after the addition is 2x larger than the initial infinity. Other example is if you have a circle with a diameter of ∞, the circumference is π times larger. If infinity can vary, it's value can vary.

So when I say: x= ∞(100-x), you must consider that the infinity here is a multiple of 10. Because the relative value of infinity must be in agreement with the rest. And if not, then yes ∞ has no place in a formula, but if it is implied that it is the appropriate relative value, then you can do correct algebra with ∞ used as a value. All that represents a quantity and can vary represents a value.

In my book: (1/∞)∞=1

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