 A bridge principle thus takes the form of a material conditional. The conditional’s antecedent states “facts” about logical consequence (or attitudes toward such “facts”). Its consequent contains a (broadly) normative claim concerning the agent’s doxastic attitudes towards the relevant propositions. Doxastic attitudes, as I use the term, include belief, disbelief, and degree of  belief.[17]  Here \(\alpha\) may (but need not) represent the same attitude as \(\beta\). In fact, for principles with negative polarity, it may represent the negation of an attitude: “do not disbelieve the conclusion, if you believe the premises”.