A dominant hypothesis on how the brain processes numerical size proposes a spatial representation of numbers as positions on a “mental number line.” An alternative hypothesis considers numbers as elements of a generalized representation of sensorimotor-related magnitude, which is not obligatorily spatial. Here we show that individuals' relative use of spatial and nonspatial representations has a cerebral counterpart in the structural organization of the posterior parietal cortex. Interindividual variability in the linkage between numbers and spatial responses (faster left responses to small numbers and right responses to large numbers; spatial–numerical association of response codes effect) correlated with variations in gray matter volume around the right precuneus. Conversely, differences in the disposition to link numbers to force production (faster soft responses to small numbers and hard responses to large numbers) were related to gray matter volume in the left angular gyrus. This finding suggests that numerical cognition relies on multiple mental representations of analogue magnitude using different neural implementations that are linked to individual traits.

Recent research indicates that language processing relies on brain areas dedicated to perception and action. For example, processing words denoting manipulable objects has been shown to activate a fronto-parietal network involved in actual tool use. This is suggested to reflect the knowledge the subject has about how objects are moved and used. However, information about how to use an object may be much more central to the conceptual representation of an object than information about how to move an object. Therefore, there may be much more fine-grained distinctions between objects on the neural level, especially related to the usability of manipulable objects. In the current study, we investigated whether a distinction can be made between words denoting (1) objects that can be picked up to move (e.g., volumetrically manipulable objects: bookend, clock) and (2) objects that must be picked up to use (e.g., functionally manipulable objects: cup, pen). The results show that functionally manipulable words elicit greater levels of activation in the fronto-parietal sensorimotor areas than volumetrically manipulable words. This suggests that indeed a distinction can be made between different types of manipulable objects. Specifically, how an object is used functionally rather than whether an object can be displaced with the hand is reflected in semantic representations in the brain.