Elaborating on Wittgenstein’s ontology of facts, semantic frames are described axiomatically as based on the notion of an elementary situation being the verifier of a proposition. Conditions are investigated then for such frames to be atomic, i.e. to have lattice-theoretic counterparts of his “Sachverhalte”.

A “semantic frame” is bounded join-semilattice of elementary situations, with its maximal ideals to represent possible worlds and mapped into the complete sets of propositions determined by a given abstract logic . A frame is Humean if the elementary situations are separated by its possible worlds, and it is atomistic if the semilattice is so. One frame is the extension of another if the latter is an {0,1}-subsemilattice of the former satisfying certain conditions discussed.

W Cambridge 21 grudnia 2013 r. zmarł Peter Thomas Geach – wybitna postać filozofii brytyjskiej i wielki przyjaciel Polski. Imię jego będę tu pisać po polsku, bo wiem, że byłby z tego rad. Znał nasz język i chętnie używał polskiej formy swojego imienia. Był polskim patriotą. Była to postać wielce charakterystyczna...