Which logic for complexity?
We describe as orthodox all kinds of logic which absolutely are based on the Aristotelian axiomatics and the principle of bivalence. The orthodox logics give rise to a mode of reasoning which rejects contradiction and in which any concept is strictly and discretely distinguishable from any other concept. A way of thinking presented as an alternative to analytics is dialectics. The latter admits contradiction as a fundamental principle. In line with dialectics, logical systems integrate contradiction. They are the neo-orthodox logics consisting of the set of non-trivial, weakened and paraconsistent logics. With regard to phenomenon perceived as complex changing in time and space, we call into question the strictly absolute character of identity and accept contradiction. We propose three basic principles to establish the logic of complexity: the principles of sameness, differentiality, and relationality. They do not exclude the Aristotelian axiomatics, but only recognize its relevance at a certain level of abstraction. Furthermore, we sketch out a model of statement differentiation according to truth values.