 Section 1 articulates a variety of ways of departing from an ordinary, conservative conception of which objects there are, either by eliminating ordinary objects or by permitting more objects than we would ordinarily take to exist. Section 2 examines the puzzles and arguments that are meant to motivate these departures. Section 3 examines some arguments against eliminative and permissive views. Finally, Section 4, turns from the question of which objects exist to the question of which objects exist fundamentally.