In set theory, AD+ is an extension, proposed by W. Hugh Woodin, to the axiom of determinacy. The axiom, which is to be understood in the context of ZF plus DCR (the axiom of dependent choice for reals), states two things:# Every set of reals is ∞-Borel. For any ordinal λ less than Θ, any subset A of ωω, and any continuous function π:λω→ωω, the preimage π-1[A] is determined. (Here λω is to be given… (More on Ad)