Rational Self-Doubt - Philosophy

Degrees of belief as probabilitiesq, r, s, …, q’, r’, s’, …, P S (q) = x, P S (r) = y, … propositionsP S (q) = x … Subject S has degree of belief x in qP S (q/r) = z … S’s degree of belief in q given r is zP T (P S (q) = x) = x’ … Subject T has degree of belief x’ thatsubject S has degree of belief x in q.P S (P S (q) = x) = x’’ … Subject S has degree of belief x’’ thatsubject S has degree of belief x in q.11