Arguments implying that 0 > 0^2!

[Gouskin]

Come on guys! Back to arguments implying that 0 > 0^2! It's great because it's helping be develop new insight into and arguments for my own form of mathematics! (No more PEMDAS, though. That argument was dumb in the first place.)

 

[JeffM]

Come on guys! Back to arguments implying that 0 > 0^2! It's great because it's helping be develop new insight into and arguments for my own form of mathematics! (No more PEMDAS, though. That argument was dumb in the first place.)

Not going there unless you can give a reasoned sketch of what questions your mathematics will answer correctly that everyone else's mathematics cannot answer correctly and what questions your mathematics will not answer correctly that everyone else's mathematics can answer correctly. Existing mathematics is an immense construction, the product of thousands of years and thousands of mathematicians, that few if any can completely master in a lifetime and that provides tools for solving millions of types of problems. Please explain why anyone mortal should start over without a rational conviction that the end result will be a significant improvement.

I greatly admire intellectual curiosity, but the place to start is figuring out how and why mathematics does what it does.