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Petros,
You might be interested in a major recent effort to build upon the work of Marx and Engels in the development of a non-idealist dialectic, including a dialectic of Nature as a [the] whole.
The Foundation Encyclopedia Dialectica [F.E.D.] research collective has discovered a 'mathematics of dialectics', and a dialectical progression of new, dialectical arithmetics, beginning with an arithmetic which is a "non-standard model" of the Peano "Natural" Numbers, N = {1, 2, 3, ...}, with a 'contra-Boolean' algebra of dialectical logic, which both aufheben-conserves and aufheben-negates the "Fundamental Law of Thought" of George Boole's arithmetic and algebra for formal logic. They summarize this progression of axioms-systems of dialectical mathematics via a single [meta-]equation, written in the language of the first explicitly dialectical system of arithmetic/algebra in this systems progression.
They have applied that first system to formulate a single diachronic-dialectical [meta-]equation which summarizes the singular dialectic of Nature as a whole, to date, and which can be iterated forward one step to predict a next epoch in 'cosmological meta-evolution'.
They have also applied that first system of dialectical-ideographic language to the reconstruction of the [tables of] contents of Marx's Capital, volumes I through III, via, again, a single synchronic-dialectical [meta-]equation, as well as to many other sub-universes and Domains within the universe as a whole.
These include single [meta-]equations summarizing the historical dialectic of the meta-evolution of the human-social forces of production, and the historical dialectic of the meta-evolution of the human-social relations of production, as well as the historical dialectic of the meta-evolution of human-social formations.
Their work can be accessed via the www.dialectics.org web site.
Regards,
Miguel
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