Principles that are rejected in the pages above are marked with an asterix.

Chapter 1

Definition. A is a well-mannered state of affairs just in case, for some set of mutually exclusive and jointly exhaustive hypotheses, {P1, …, Pn} and some set of real numbers, {a1, …, an}, A is identical to ($a1 if P1, …, Pn).

1.1 Ordering. Where A, B and C are any well-mannered states of affairs between no pair of which you are undecided,

1. (i) you do not prefer A to A; and

2. (ii) if you do not prefer A to B and you do not prefer B to C, then you do not prefer A to C.

1.2 Dominance. Where A is the well-mannered state of affairs ($a1 if P1, …, $an if Pn) and B is the well-mannered state of affairs ($b1 if P1, …, $Pn),

1. (i) if ai > bi for every i, then you prefer A to B; and

2. (ii) if ai = bi for every i, then you are indifferent between A and B.

1.3 Confidence. For any hypotheses P and Q, you are more confident that P than you are that Q if and only if you prefer ($1 if P, $0 if ~P) to ($1 if Q, $0 if ~Q).