I will present Haim Gaifman's paper, "Vagueness, tolerance and
contextual logic". In this paper, borderline vagueness (the existence
of borderline cases) and tolerance (the insensitivity to small
changes) are dealt with separately. The analysis of tolerance leads to
the proposed framework of contextual logic, which allows to express
the context in which a sentence is said (and evaluated). Borderline
vagueness is formulated in modal logic, by presenting a basic
framework for reducing degrees to modalities.