According to this view mathematical systems exist, and have structural features in common.

Kirill's worried about the confusion of having two mathematical systems in your head.

Other mathematical systems that include a multiplication operation may not have all these properties.

There were mathematical systems that said it was possible.

The idea behind the theorems is that some mathematical systems are not complete.

My mathematical system would not give an answer to so specific a question, even if psychohistory worked at its best.

I can't make a mathematical system practical when it isn't.

For most mathematical systems this remains an open problem.

In mathematical systems, one can consider the complexity of particular states more easily.

While they were both involved in the process of creating a mathematical system to deal with variable quantities their elementary base was different.