Earlier quoted context omitted.
The law of diminishing marginal utility for example can be logically proven using this method. Alas, knowing it won't make you rich, the world is not that simple.
Whaaa? > the more of something you have, the less of it you want. This phenomenon is referred to as diminishing marginal utility by economists. Okay, but I have a counter-example. Money . The people who have the most sometimes still act like penny-pinchers, and lust after even more, and haggle over the smallest things. Therefore the "law of diminishing marginal utility" is more a rule of thumb than a law.
If you own a good G, that you could use to satisfy either a desire D1, or a competing desire D2, you will logically choose to use G to satisfy the greater one of these two desires - the one with the greater subjective utility to you. Let's assume that is D1.
Now, if instead of 1 you have 2 of G, you can satisfy both D1 and D2. As we have already established that the utility you have derived from consuming the first G to achieve D1 must be greater than the utility derived from consuming the second G to achieve D2, the utility of the additional unit of G is diminished when compared to the previous one.