# Represening beliefs consistently

Sep 2013

Let’s use $b(x)$ to represent the strength of belief in (plausibility of) proposition $x$.

Desiredata:

• Strengths of belief are represented by real numbers.
• Qualitative correspondence with common sense.
• Consistency
• If a conclusion can be reasoned in several ways, then each way should lead to the same answer.
• The robot (analyzer) must always take into account all relevant evidence.
• Equivalent states of knowledge are represented by equivalent plausibility assignments.