It has been demonstrated that the blood-oxygenation-level-dependent (BOLD) fMRI initial dip allows us to resolve (without differential subtraction) structures of the order of 0.5 mm. However, recent results support the proposition that even the later, positive BOLD fMRI signal component can allow us to resolve structures less than 1 mm in size by using differential subtraction when the signal-to-noise ratio is high. So, with a sufficient signal-to-noise ratio, the later, positive component should be useable as a probe for testing cognitive neuroscientific hypotheses that predict neuroanatomical dissociations of less than 1 mm.