  Many descriptive set theorists take these consequences to be intrinsically plausible. Moreover, they have found the particular pattern of the uniformization property provided by ADL(ℝ) to be a plausible extension of the pattern initiated in ZFC. For this last point consider the first ω many levels and compare the case of V = L with that of PD. In ZFC, the uniformization property propagates from Π̰11 to Σ̰12. It is natural to expect it to continue to zig-zag back and forth. However, under V = L it stabilizes: 