1. Just because x is normally distributed does not mean that f(x) is normally distributed.
Real life is too messy and unpredictable to model.
If you aren't sure which world you're in, assume non-linear.
If you lose 50% of your net worth on Monday, you need a 100% gain on Tuesday to get back to where you were.
If you find someone who claims the Great Depression is an outlier and removes it from their data, you should find a way to short them.
If a system's effectiveness is reliant upon a 'risk model,' run away.
Without objectivity, we will be inclined to adjust the knobs so that the model confirms our preconceived biases and aligns with our incentives.
Reality is unpredictable, yet its properties can be understood. Thus, models should be used as a tool to understand properties rather than make predictions.
Rather, they should be asking: 'is it possible that our hypothesis is wrong? And if so, what happens if we are wrong?'
Which method sounds more scientific / rigorous?