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See Subitizing and Counting from wikipedia:
Subitizing, coined in 1949 by E.L. Kaufman et al.[1] refers to the rapid, accurate, and confident judgments of number performed for small numbers of items. The term is derived from the Latin adjective subitus (meaning sudden) and captures a feeling of immediately knowing how many items lie within the visual scene, when the number of items present falls within the subitizing range.[1] Number judgments for larger set-sizes were referred to either as counting or estimating, depending on the number of elements present within the display, and the time given to observers in which to respond (i.e., estimation occurs if insufficient time is available for observers to accurately count all the items present).

The accuracy, speed, and confidence with which observers make judgments of the number of items are critically dependent on the number of elements to be enumerated. Judgments made for displays composed of around one to four items are rapid[2], accurate[3] and confident.[4] However, as the number of items to be enumerated increases beyond this amount, judgments are made with decreasing accuracy and confidence.[1] In addition, response times rise in a dramatic fashion, with an extra 250 ms - 350 ms added for each additional item within the display beyond about four.

... So, while there may be no span of apprehension, there appear to be real differences in the ways in which a small number of elements is processed by the visual system (i.e., approximately < 4 items), compared with larger numbers of elements (i.e., approximately > 4 items). Recent findings [7] demonstrated that subitizing and counting are not restricted to visual perception, but also extend to tactile perception (when observers had to name the number of stimulated fingertips).

Counting requires sequential attention while perception of numbers up to about 4 doesn't actually require sequential attention.

But is this qualia? Applying sequential attention within the subitizing range doesn't lead to different results.


A vivid image of what should exist acts as a surrogate for reality. Pursuit of the image then prevents pursuit of the reality -- John K. Galbraith

by Migeru (migeru at eurotrib dot com) on Sat Oct 18th, 2008 at 01:46:16 PM EST
[ Parent ]
But is this qualia?

No.

Qualia is the mental state of "knowing what it is like" to have a particular mental state.

by ATinNM on Sat Oct 18th, 2008 at 02:09:39 PM EST
[ Parent ]
Right, and what it is like to subitize as opposed to count is just about irrelevant to arithmetic.

A vivid image of what should exist acts as a surrogate for reality. Pursuit of the image then prevents pursuit of the reality -- John K. Galbraith
by Migeru (migeru at eurotrib dot com) on Sat Oct 18th, 2008 at 02:12:25 PM EST
[ Parent ]

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