REMARKS ON THE FIGURES OF PLATE LIV. 
See === 
THE ARCHETYPE PLUS SERIAL AXIS UNDERGOES A METAMORPHOSIS OF QUANTITY FOR THE 
. PRODUCTION OF SPECIES. 
U NIFORMITY considered per se is like unity measured by itself; for the one, like the other, cannot 
be a species either to itself or its counterpart ; and in whatever light we regard this ens, it will 
. still produce only the same idea ;—it is uniformity or unity fixed and unchangeable; it is a sameness, 
a thing holding its own identity, a creation bearing but one character as to dimensions, and it is 
invariable as to the quantity contained in itself, There is no subject-matter in uniformity or unity 
isolatedly contemplated, because we then set it apart from contrast, and it is impossible to compare 
any such entity with itself or its fellow, and produce any other idea save that of itself. One is one, 
and the comparison of one with itself will never furnish us with any other idea save that of one; 
therefore, one is barren of all interest : and so. is unity or uniformity, while severed apart and 
insulated as a lone entity in nature. 
_ Now the repetition of any given quantity or form, whether once or twice, or in infinite series of 
this first quantity, although this will generate the idea of plurality, is still bound down to sameness ; 
for the unit, the dual of this unit, and the infinite serial plural of this same unit, will only be 
an extension of unity through a uniformity without end. Infinite repetition of the same form is 
infinite sameness; and although the fact will, by its eternal recurrence, overpower us with its pro- 
lixity, still, by its very dullness and wearisome continuity, it thereby symbolises aud impersonates the 
sublime. The infinite series is an emblem of the sublime; and because the very nature of infinite 
series is the infinite repetition of a first quantity, which quantity is unity, and which repetition is 
uniformity, so we regard uniform series as the very qvois and embodiment of sublimity. Nature 
repeats her first form and quantity: she creates the serial skeleton axis by the repetition of a 
given quantity, and this skeleton figure, as being typical of the serial uniformity throughout an animal 
kingdom, is no less . generative of the idea of the sublime than is the incessant serial order of the 
form of ocean waves, whose very sounds are simple monotones, and repetitions of the one noise. in 
the one voice—wvoAvdAoicBo.0 Oadacons. 
Since the repetition of plus form is creative of uniform 
series ad infinitum for the circle as for the integer 9, so 
will the metamorphosis of the line of serial circles or 
the line of serial integers produce special variety ad infi- 
nitum ; and therefore, since the infinite plus series is as 
immeasurable as the infinite gradations of minus series, 
the one serving the idea of uniformity, and the other 
yielding the idea of species, and both ideas being without 
limitation, so must both the subjects of uniformity and 
species, while numerically considered, transcend the furthest 
stretch of mental reach. But, as we have before said that 
an infinite serial lme of plus quantities cannot exist in 
fact, although it may exist in idea, and as Nature renders 
her serial lines finite by the law of metamorphosis, gradua- 
tion, or the subtraction of quantity, so will the graduated 
serial design be read and interpreted according to this opera- 
tion. The series of plus forms constitutes uniformity, 
whereas the series of graduated or minus forms con- 
stitutes the variety or species; and this is equal to knowing 
| that every skeleton form which is only thus special, is the 
