Are planetary systems flat? Scott Tremaine Institute for Advanced Study Laplace argued, correctly, that the small inclinations of planetary orbits implied that the solar system formed from a flat disk. The observational and theoretical evidence on whether extrasolar planetary systems are flat, however, is still ambiguous. I will discuss constraints on flatness from the Kepler spacecraft and other sources; measurements of the Rossiter-McLaughlin effect in transiting planets, which show that many planetary systems have large stellar obliquities, and disk and high-eccentricity migration as competing mechanisms for the formation of hot Jupiters.