Most mathematical arguments are presented as prototypes of formally rigorous proofs.

Published an influential paper providing a novel mathematical argument in support of quantum mechanics.

By mathematical arguments, the maximum must lie between the two minima.

Nothing in my mathematical argument tells us how to do any of this.

The special theory was not well understood because of its complicated mathematical argument.

Correctness of the concurrent program can only be shown using a mathematical argument.

Then he stood back from the blackboard, checking through his mathematical argument.

This is a technical mathematical argument but can be paraphrased as follows:

Right and left seem like irrelevant categories in mathematical argument.

There are even fashions and styles in mathematical argument.