 Note that these EU decision theories apparently prescribe two things: (a) you should have consistent preference attitudes, and (b) you should prefer the means to your ends, or at least you should prefer the means that you assess will on average lead to your ends (cf. Buchak 2016). The question arises: What is the relationship between these prescriptions? The EU representation theorems that will be outlined shortly seem to show that, despite appearances, the two prescriptions are actually just one: anyone who has consistent attitudes prefers the means to her ends, and vice versa. But the puzzle remains that there are many ways to have consistent preference attitudes, and surely not all of these amount to preferring the means to one’s own true ends. This puzzle is worth bearing in mind when appraising EU theory in its various guises; it will come up again later.