Complexity and Evolvement

The relation between the Matter and Form of any System is its 'Complexity'. This relation is most clearly given in quantatative terms, but it is not restricted to that category. This concept of Complexity is at odds with the standard usage that treats it as synonymous with mere multiplicity, because it entails unity, unlike the latter. Hence, here, Complexity is not an antonym of the usual meaning of 'simplicity', i. e. 'unity'. In fact, in a Formaterial theory, sheer simplicity is impossible; what the term actually refers to, instead, is a system of minimal multiplicity, not none at all, or, in other words, a system of minimal Complexity. Any increase in Complexity is 'Evolvement'. More precisely, Evolvement is an increase in Diversity without loss of Sameness. This means that it is a process consisting of two distinct moments--the introduction of a novel element, and the integration of the latter into the previous system. For example, the growth of opposing thumbs is not Evolvement until the organism integrates them into its activities. An notable consequence of this analysis is in Mathematical theory. In '3+4=7', '+4' introduces a novel element, and '=7' integrates it into the previous system, 3. This analysis confirms Kant's assertion that arithmetical statements are 'synthetic', i. e. that '3+4' is not in itself identical to '7', but requires a further integrative process to equate them.