 Working out the intuitive interpretation of such points, of the ternary relation, and indeed of the Routley-Mayer semantics as a whole, has been a difficult task in the history of this research programme (see Copeland 1980; Read 1988; Restall 1996b; Mares 2004). The consensus on the points nowadays seems to be that they be understood as non-normal or logically impossible worlds (see Priest 2008: Ch, 10; Berto &amp; Jago 2019: Ch. 6). See the SEP entry on  impossible worlds  for details. The impossible worlds of (the interpreted) Routley-Meyer frames can be seen as situations which can, e.g., be locally inconsistent (making true both \(A\) and \(\neg A\), for some \(A)\) without thereby being trivial (making true everything), and partial or locally incomplete (“taking no stance” on some \(A\) by making true neither it nor its negation).