The urgent need, for Homo-Sapiens, of an abstract system of holistic logic

Our contemporary world does no longer disposes of a rigorous “abstract system of holistic logic”, that could stand its ground alongside mathematics, which has developed as the hegemonic “abstract system of atomistic logic” of Western-Modernity. The process of contemporary knowledge formation, that is at the core of Western modernity, is therefore biased. It is indeed aligning with a dualist materialist technical rationality that disregards the necessity of the cosmic constraint of persistence in the universal dimensions of physics, biology, and human societies which form the bedrock of the reality of our universe's continuity.

In holistic logic both the “abstract system of atomistic logic” and the “abstract system of holistic logic” are viewed as the complementary polarities of the process of societal knowledge formation.

By aligning exclusively with dualism, materialism, and technical rationality, Western Modernity irrevocably separated from the cosmic constraint of continuity, which distorts its approach to knowledge formation, thus engaging societies on paths that are incompatible with the cosmic order.

This explains why the younger generations are now inheriting a predicament that will force them to address the societal contradictions with the cosmic order : abject record historical levels of social inequality, Western societal atomization, and the incapacitation of the world order to address the degradation of the habitat of life by the numerous side-effects of Western-Modernity.

Today’s abrupt acceleration, of the habitat’s degradation by the great convergence of these multiple crises, was caused by our species’ reliance, on the sole “abstract system of atomistic logic”.

The culprit of our present predicament is thus the materialist technical rationality of the atomistic logic of Western Modernity, and science, which acts as its instrument of preference. But we should remain clear-headed, for it was the rationality of Western-Modernity, that forced this path onto science.

A brief detour through history shows us that the emergence of the archetypal model of power societies in the Tri-Continental-Area initiated a separation between the men of force and the men of knowledge, who were in charge of governance, and the rest of their societies. The cultural evolution of Western societies, during the centuries following the fall of the Roman Empire, exacerbated this separation, while the Enlightenment completed it.

Rupture and separation with the cosmic order fertilized the ground in which the knowledge paradigm of Modernity emerged. And it rapidly imposed its dualist materialist technical rationality to the whole world.

The centuries long hegemony of this technical rationality concludes today with a predicament for humanity that takes the form of an abrupt degradation of the habitat of life on earth !

To preserve the future, for the younger generations, we most urgently need an “abstract system of holistic logic” to act as the complementary polarity of mathematics and science. Their confrontation is bound to force a reconciliation of human thought and actions with the constraints imposed by the cosmic order. This incontrovertible observation originated the imperative of writing “Metaholistics”.

Metaholistics is an “abstract system of holistic logic” that confronts the atomistic logic embodied in mathematical and scientific rationality. This confrontation is bound to lead to their reconciliation into a form of knowledge that is compatible with the cosmic order.

Here are the key points and summaries of its content that are relevant to understanding its framework and its rigorous formalization.

1. Overview and Philosophical Foundations

Western modernity is dominated by an atomistic logic that focuses on the microcosm (fundamental particles, reductionism, dualism) and generates multiple crises like social atomization, societal atomization, the degradation of the habitat, and epistemic fragmentation.

In contrast East Asian civilizations embody a holistic logic that focuses on the macrocosm —emphasis on complementary polarities, continuity, harmony, and context— and provides a model of societal cohesion and adaptive governance.

Metaholistics aims to reconcile and synthesize their “complementary abstract systems of logic” — atomistic and holistic— into a new epistemic framework for societal knowledge formation that is both rigorous and practically oriented toward complexity, context, and planetary sustainability.

2. Core Axiomatic foundation

Metaholistics is rooted in explicit foundational axioms that are formalized within a custom modal-temporal logic with Kripke semantics. Its key axioms include :

• Emergence from Nothingness : All differentiated states emerge from an underlying undifferentiated potentiality ("nothingness").

• Local Reversibility and Cosmic Irreversibility : Local systems may revert or collapse, but cosmic evolution is unidirectional and irreversible.

• Harmony as Modal Constraint : Only transitions preserving or restoring harmony (balanced polarity) are sustainable.

• Layered Hierarchical Emergence : Reality unfolds in layers (nothingness, physical, biological, societal, synthetic) with strict adjacency.

• Assembly Arbitrage : Assemblies (complex adaptive collectives) arbitrate which transitions persist, filtering permissible transformations in context.

• Polarity Duality : The tension and cyclic interplay between persistence and novelty drive evolution.

• Contextual workability or permission : Transformations only occur in favorable local and cosmic contexts.

• Interconnectedness : System states are richly connected; local changes propagate through assemblies and networks.

3. Formal Logical and Semantic Framework

Metaholistics adopts a richly structured modal-temporal logic with predicates for polarity, harmony, context, assemblies, and temporal operators (next, eventually, always).

Canonical Kripke models are constructed with maximally consistent sets of formulas as worlds, providing soundness and completeness via a Truth Lemma linking syntax and semantics.

The framework extends to multi-modal logics distinguishing cosmic and local modalities, hybrid logics with nominals for explicit state referencing, and dynamic filtering mechanisms.

The semantic architecture models states as structured polarity fields in space/time, with accessibility relations encoding permitted transitions respecting harmony and polarity constraints.

4. Dynamics of Polarity and Harmony

Polarity dynamics formalize the oscillatory interplay between persistence (stability) and novelty (change), modeled mathematically by coupled nonlinear differential equations or modal operators.

Assemblies act as local arbitrage agents filtering system transformations to maintain systemic harmony and guide evolution.

The framework characterizes emergence, collapse, stability, resilience, and meta-stability in adaptive systems through formal axioms and dynamic models.

Hierarchical clustering of assembly networks and adaptive filtering explain how local and global systemic coherence emerge and persist.

5. Applications and Future Directions

The metaholistic framework offers tools for modeling complex adaptive systems across physical, biological, societal, and synthetic dimensions.

It provides a foundational logic for automated proof systems, model checking, formal verification, knowledge representation, and dynamic system modeling.

The framework encourages open collaboration for further formal development, computational tool support, and application to emerging scientific and societal challenges.

This summary highlights the major components and the rigor of the metaholistic framework as presented in the book. This book offers a rich, rigorous formal logic system designed to bridge foundational worldviews, integrate complementary logics, and provide practical instruments for understanding and guiding complex evolution in knowledge and society.

The book is free. Click on its cover-page to download it.