1. Il figaro autobarbando The split between the role of the barber and the person of the barber can be massaged into a split between form and substance. Like roles are not additive, neither are forms. (A grandfather who is a neighbour are not 2 persons.) Like a person can be more (important, esteemed, weighty) than a different one, the substance of a thing can be more than that of a different object.
2. The individuality of garden peas We have seen that in multitudes conflicts exist a priori, because if the multitude is made up of different objects, the rankings according to the differentiating properties will be different. (If nothing else, one reason for discord would be whether the odd or the even numbered objects should be dealt with first /with humans: female & male/). We have seen that each of the garden peas possesses individuating properties which come from the mechanism of establishing a working compromise regarding the above contradictions of ranking. (This is called "cyclic permutations" and has an established literature.) So the form of garden pea nr i will be given 1. by the garden peas j, k, l, etc. with which it shares a cycle during a reorder from alpha into beta; 2. by the garden peas m, n, o, etc. with which it shares a cycle during a reorder from gamma into delta; 3. by the garden peas p, q, r, etc. with which it shares a cycle during a reorder from epsilon into zeta; 4. and so forth UNTIL THE LAST NONREDUNDANT ENUMERATION 3. How many nonredundant enumerations An observant colleague asked about the optimal size of the information transmission multitude, to which the answer is to study the functions shown in OEIS A242615. Their relative inexactitude grows outside all limits with n>140, and becomes relevant with n>135. Therefore, the set translating linear into planar should not be above n=136, and the efficiency advantage coming from size is somewhat diminished by the inbuilt inexactitude caused by 136>135. (Could be an approach to the subject of genetic variations and mutations.) We see by resolving the quadratic exponent that around 15 independent descriptions are sufficient to completely describe a collection of 68 objects carrying commutative symbols. (We need an equal number of objects to serve as background.) Therefore, the most individual garden pea will not be able to be included in more than 15 nonredundant comparisons. (This means that the property of mass can have about 15 different categories - in an idealised, nonredundant environment. There can APPEAR many more gradations, as the corpora will have a wide variety of number and individuality coming from the other elements of the corpus.) 4. The non-individual property of garden peas The other elements in the corpus of the reorder from greek letter into greek letter and the differences between the greek letters confer the individuality to the garden pea. That what is not individual is the how many part of the observation. We have seen that there appears an enumerable entity without any qualities which is closely linked to a+b=c. Plausibility consideration shows that below a minimal value of 1 the mass appears to be smeared along a wave (cycle), and that there exist upper limits to masses of assemblies. Please note that the garden peas discussed here are heavily idealised, nonredundant ones. They may be considered ideal garden peas, only to be found in specific circumstances.
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