Number-Forms 87
from the picture on their retina. Whenever a man first ventures up in a balloon, or is let, like a gatherer of sea-. birds’ eggs, over the face of a’ precipice, he is conscious of having acquired a’ much extended experience of the third dimension of space.
The character of the forms under which historical dates are visualised contrast strongly with’ the ordinary Number-Forms. They are sometimes copied from the numerical. ones, but they are more commonly based both clearly and consciously on the diagrams used in the schoolroom or on some recollected fancy.
‘The months of the year are usually perceived as ovals, and they as often follow ‘one another in a reverse direction to those of the figures on the clock, as in the same direction. It is a common, peculiarity that the months do not occupy equal spaces, but those that are most important to the child extend more widely than the rest. There are many varieties as to the topmost month; it is by no means always January.
The Forms of the letters of the alphabet, when imaged, as they sometimes are, in that way, are equally easy to be accounted for, therefore the ordinary Number-Form is the oldest of all, and consequently the most interesting. I suppose that it first came into existence when the child was learning to count, and was used by him as a natural mnemonic diagram, to which he referred the spoken words “one,” “two,” “three,” etc. Also, that as soon as he began to read, the visual symbol figures supplanted their verbal sounds, and permanently established themselves on the Form. It therefore existed at an earlier date than that at which the child began to learn to read; it represents his mental processes at a time of which no other record remains; it persists in vigorous activity, and offers itself freely to our examination.
The teachers of many schools and colleges, some in America, have kindly questioned their pupils for me; the results are given in the two first columns of Plate I. It appears that the proportion of young people who see numerals in Forms is greater than that of adults. But for the most part their Forms are neither well defined nor complicated. I conclude that when they are too faint to be of service they are gradually neglected, and become wholly forgotten; while
