1. A position detection device comprising: a detecting section that detects an indicator and a target different from the indicator, the indicator performing a first operation with respect to an operation surface, the target performing a second operation with respect to the operation surface; an imaging section that forms a captured image obtained by imaging a range including the operation surface; and a control section that detects a motion of the target with respect to the operation surface and a position of the indicator with respect to the operation surface based on the captured image to determine whether or not to detect the first operation performed by the indicator as an input.