Monday 15 July 2024

Division by ∞

 Economics exists because the resources are finite (limited) but the needs infinite. 

Assume \(A\) to be the finite set of all apples on earth. We want to divide this set by infinity, that is

$$\frac{A}{\infty},$$

which is undefined so far. Yet, there is a vague tendency of the mind to say 

$$\boxed{\frac{A}{\infty}\equiv\big\{\exists V:A\to\mathbb{R}\big\}}$$

where we call \(V\) the Value function.

Then, every person's Share \(S\) would be $$S=\frac{C}{V},$$ where \(C\) is the Capital of the person.


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