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We provide a proof that analytic almost disjoint families of infinite sets ofintegers cannot be maximal using a result of Bourgain about compact sets ofBaire class one functions. Inspired by this and related ideas, we then providea new proof of that there are no maximal almost disjoint families in Solovay'smodel. We then use the ideas behind this proof to provide an extension of adichotomy result by Rosenthal and by Bourgain, Fremlin and Talagrand to generalpointwise bounded functions in Solovay's model. We then show that the sameconclusions can be drawn about the model obtained when we add a genericselective ultrafilter to the Solovay model.

Compact Sets of Baire Class One Functions and Maximal Almost Disjoint Families