Defining the Origin Relative to a Functional Part
Defining the Origin Relative to a Functional Part
Origin has been defined as the intersection point of the axes of a reference
frame (Miller & Johnson-Laird, 1976) and is taken to indicate where the
reference frame is imposed on the reference object. Given theoretical
suggestions that the reference object is represented in a relatively abstract,
axial-based form (Landau & JackendoV, 1993; Regier, 1996; Talmy, 1983),
it has typically been assumed that the origin is imposed on the basis of the
geometric properties of the reference object, most usually at its center of
mass (Gapp, 1995; Regier, 1996; Schirra, 1993). However, Carlson-
Radvansky et al. (1999) demonstrated that the identity of the reference
and located objects and their functional interaction play a significant role in
defining the origin. Specifically, they presented participants with pairs of
pictures of real-world objects and asked participants to place one object
above or below the other object. Placements of the located object were
assumed to reflect the best use of these spatial terms. Given that other
paradigms have shown that the best use falls on the axis of the reference
frame (Carlson-Radvansky & Logan, 1997; Hayward & Tarr, 1995; Logan
& Sadler, 1996), these placements are taken to indicate the origin of the
reference frame (for discussion, see Carlson, 2000). The pairs of objects were
created with the constraint that the located object would typically be placed
above or below a given part of the reference object in order to fulfill a
particular function. This part is referred to as the functional part. For
example, a tube of toothpaste (located object) is typically placed above the
bristles (functional part) of a toothbrush (reference object) in order to fulfill
the function of putting toothpaste on the toothbrush. A coin (located
object) is typically placed above the slot (functional part) in a piggy bank
(reference object) in order to insert the coin in the bank. The reference
objects were photographed from a sideways perspective that oVset the
functional part from the center of mass of the object. This enabled an
examination of whether participants would define the best placement of
‘‘above’’ relative to the center of mass of the object, indicating reliance on
geometric factors for defining the spatial term or relative to its functional
part, indicating a sensitivity to the identity of the reference object and its
functional relationship with the located object.
Using Spatial Language 139Placements were measured relative to a line running through the center of
mass of the objects, with deviations from this line toward the functional
part coded as a functional bias. The critical result was that all objects
showed a functional bias. Given that the objects varied in how far apart the
functional part was from the center of mass of the object, the best way to
characterize the functional bias was to express it in terms of the percentage
of this distance, with 100% indicating a placement directly over the
functional part and 0% indicating a placement directly over the center of
mass. On average, located objects were placed at positions that
corresponded to 72% of the distance between the center of mass and the
functional part. This deviation was significantly smaller, although still
positive (45%), when a functionally unrelated object matched in size and
shape was used instead of the functionally related object (e.g., ring versus
coin for the piggy bank; tube of oil paint versus tube of toothpaste for the
toothbrush). The fact that there was a functional bias for these unrelated
objects indicates an influence of the functional parts of the reference object
on defining where the reference frame would be imposed. The fact that the
functional bias was stronger for functionally related located objects
indicates an influence of the functional interaction between the objects on
setting the origin
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