>>10998260>no you cannot.Yes, you can. To give you a taste of Wildbergian mathematics, he argues that many things are not actually numbers. Instead, he focuses completely on the symbolic and algebraic. So after the appropriate definitions, is nothing but a symbolic object. We say that there exists a field such that all of these objects have a unique value, but for Wildberger, this doesn't exist. But the object itself does exist, as we can define it algebraically. In fact, Wildberger goes on to define
So pi is just the shorthand for this object. And then, as you can imagine, you can start assigning "values" to all pi-having integrals. For example, the Gaussian integral can be solved by finding this definition of inside of it, etc.
Wildberger then accepts that you may have a separate theory of approximation where you can claim , but this theory must never be based on the supposedly misguided idea that pi itself is a real thing. A pi is a symbolic object that essentially defines itself, and we may just approximate an ugly version of it for our applications.
