 This says that you are at least 5% confident that you’re highly confident of q though it’s false or lack confidence in q though it’s true. It is a softened version of anti-expertise, and you can’t coherently fulfill it, have \(P(q) &gt;.99\), and have perfect knowledge of your beliefs. For in that case \(P(P(q) &gt; .99) = 1\), which means INP can only be true if \(P(-q) &gt; .05\). But \(P(-q) &gt; .05\) implies \(P(q) &lt; .95\) which contradicts \(P(q) &gt; .99\). The point survives if you have imperfect but good knowledge of what your beliefs are. The self-doubt expressed through INP is quite modest, but is no more consistent than attributing to oneself anti-expertise, and this will be so for any value of INP’s right hand side that is not equal to \(P(-q)\). 