However, there is much to be said on the other side, too; — and what question was there ever yet mooted or disputed that had not two sides? — generally, in sooth, they are octagons: some, indeed, are chiliahedrons! This colouring question, however, is not a thousand-sided one, assuredly, though it may have a pro and con or two.
1914, Emil Carl Wilm and Rudolf Pintner (translators), Otto Klemm (author), A History of Psychology, C. Scribner’s Sons, page 182:
[…] certain epistemological distinctions in Locke, to whom the narrowness of consciousness was a familiar concept, and who discussed the psychological distinctions between clear and obscure, distinct and confused ideas.³ A chiliahedron and […]
[…] polyhedron is an abstraction for a series of two-dimensional geometric figures beginning with a triangle and including the chiliahedron of one thousand sides.
I urge my readers to inspect the other examples in both Descartes and Locke, especially on the chiliagon and the chiliahedron; all of which support my argument that (I) one must fear that Professor Chomsky has not read Locke’s Essay so as to come upon these passages in Locke, since it wouls certainly then have been a plain obligation to explain to the reader how “Locke’s caricature” is still altogether different from the innateness we are asked so readily to assent to in Descartes.
He that thinks he has a distinct idea of the figure of a chiliahedron, let him for trial’s sake take another parcel of the same uniform matter, viz. gold or wax of an equal bulk, and make it into a figure of 999 sides.
I cannot form an image of a figure with exactly one thousand sides but I can reason accurately about chiliahedra, and this involves conceiving the idea.