anomalous spaces

Some people think that infinite dimensional spaces are weird. That is plain wrong! Such spaces emerge as a natural setting for the rings of polynomials. Who can dare to claim that polynomials, one of the first algebraic inventions of the human mind, are weird?

It is actually the lower dimensional spaces that are truly anomalous. As opposed to their higher dimensional analogues they can be visualized!

We are the source of all anomalies in mathematics. This is a profound observation and its counterpart in physics was the source of several intellectual revolutions. For instance, why are symmetry principles so prevalent and powerful in physics? The answer is very simple: They remove the effects of our own existence and help us move one step closer to the impossible dream of an observer-independent description of the reality.