In 7 experiments, participants selected the larger member of pairs of digit
s that differed in numerical magnitude as well as in physical size. Selecti
ve attention to the relevant dimension (number or size) was gauged by Garne
r and Stroop interference, both of which varied considerably as a function
of the number and relative discriminability of values along the constituent
dimensions. When the to-be-ignored dimension was more discriminable, sizab
le Garner and Stroop effects affected performance on the relevant dimension
. When it was less discriminable, Garner and Stroop effects were considerab
ly smaller regardless of whether the relevant dimension was numerical or ph
ysical size. The sensitivity of Stroop interference to manipulations of dis
criminability is accounted for by the allocation of attention to the consti
tuent dimensions. The demonstrated malleability of the Stroop effect is inc
ompatible with claims of strong automaticity in numerical processing.