 Bare conditionals of the form \(A&gt;B\) turn out equivalent to conditionals \(A&gt;\Box B\), but only under the default attitude coming with universal force. Ciardelli (forthcoming) also derives the incompatibility of the conditional \(A&gt;C\) with the might-conditional \(A&gt;{\Diamond \neg C}\) (If-Might Contradiction, henceforth IMC). The same incompatibility is at the heart of Santorio’s (forthcoming) so-called path semantics for conditionals. Santorio exposes a contradiction between this principle and two other principles of conditional logic, namely CEM and the Duality principle whereby \(A&gt;\Diamond C\,\equiv\, \neg (A &gt;\neg C)\) (endorsed by D. Lewis 1973, though rejected by Stalnaker 1968). His semantics validates IMC and preserves CEM, but drops Duality. A number of further predictions follow from Santorio’s semantics, in particular OI becomes valid, as well as restricted versions of IE. Like Ciardelli, Santorio does not have to treat bare conditionals as implicitly modalized, and like Ciardelli he can derive commutation facts about modalities.