<i>&gt; they design a model... pump random data into it and see how different changes effect the model</i><p>?!?!<p>This is such an odd way to demonstrate results about a model. For hypothesis testing or preliminary research, sure. But as a result?<p><i>&gt; If we&#x27;ve defined a mathematical model</i><p>...then the way that we establish properties about the model is by <i>writing a proof</i>.<p>What am I missing?