The Peter Principle Proven

In case you've ever wondered why ignorance rises to the executive level, here is a simple explanation that is also a mathematical proof:

Knowledge is Power.

Time is Money.

And, as every actuary (with some physics training) knows:

Work
---------- = Power
Time

So, if
Knowledge = Power
and
Time = Money

then through simple substitutions,

Work
---------- = Knowledge
Money

Solving for Money, we get:

Work
-------------- = Money
Knowledge

Thus, If Work is held constant as a positive number (no matter how small!) Money approaches infinity as Knowledge approaches zero.

What this means is:

All else being equal, the less you know, the more you make