User blog comment:Vel!/Googology and well-defined-ness/@comment-5150073-20141007072250/@comment-1605058-20141009052135

By the same line of reasoning, we shouldn't be using arabic numeral system only because it's so widely used.

There is a reason why we use many well-known notations - it's because we all know them, and if one uses it, they can be sure that they'll be understood by others.