Comprehension of Singularity through 4-fold Complementarity


Anthony Judge | Laetus in Praesens - TRANSCEND Media Service

Enhancing Interdisciplinary Dialogue and Integration with AI


13 May 2024 – There are widespread calls for unity and unification in the face of division, fragmentation and polarization — with some endeavouring to impose particular understandings of hegemony as the only viable response. These calls are matched by a variety of understandings of what can be labelled as singularity (Emerging Memetic Singularity in the Global Knowledge Society, 2009). This can be otherwise explored as the “pattern that connects” (Riddle for global civilization of the pattern that connects, 2021; Psychosocial “global implication” of a “pattern that connects”? 2020; Cognitive dynamics sustaining the meta-pattern that connects, 2013). These variously call into question assumptions regarding the singularity of “the” pattern, the meaning to be associated with “pattern”, as with any sense of “connectivity”.

Of particular concern is whether the requisite unity offered by that pattern (or the singularity) can be readily comprehended — as is widely assumed. The possibility that it may require recourse to higher dimensionality is not widely discussed, except by implication (Higher Dimensional Reframing of Unity and Memorable Identity, 2024). Of particular relevance is the question whether the most dramatic forms of division now torturing society require exploration of higher dimensionality, however it can be meaningfully articulated (Neglect of Higher Dimensional Solutions to Territorial Conflicts, 2024). The issue is highlighted by the focus on unipolar strategic possibilities (envisaged by the “West”) in contrast with questionably comprehended desirability of multipolar possibilities (envisaged by the “Global South”). The viability, coherence and comprehensibility of both have yet to be adequately articulated and simulated.

The exploration here follows from a previous exercise regarding a major inhibitor of clarifications of integrative insight, namely the prevailing forms of so-called silo mentality (Mathematical Modelling of Silo Thinking in Interdisciplinary Contexts, 2024). This followed from consideration of the strategic relevance of the disparate as indicative of requisite variety for systemic viability (Global Coherence by Interrelating Disparate Strategic Patterns Dynamically, 2019). The particular focus here is how the minimal array of disparate cognitive modalities is to be recognized and presented (Dynamics of N-fold Integration of Disparate Cognitive Modalities, 2021).

In a subsequent development of the argument regarding the constraints of silo thinking, a focus was given to configuring the relationships between radically disparate perspectives — necessarily mutually alienating and controversial (Implication of Mathematics in Human Experience from an AI Perspective, 2024). This concluded with a proposed tetrahedral configuration of the four cognitive metaphors implied by “black hole”, “mandala”, “silo thinking” and “vagina” — understood as complementary drivers of global dynamics. This follows from earlier discussion of such a 4-fold pattern (Variety of fourfold cognitive modalities? 2023).

As presented here, representation of those modalities on the four faces of a tetrahedron recalls the major significance of the 3-fold pattern of contrasting scripts on the Rosetta Stone — with a degree of correspondence between them whose decoding proved to be a major challenge. This offers the suggestion that the contrasting metaphors each imply a common underlying unity which in this case does not lend itself to articulation by any conventional means. Such 4-fold complementarity may be compared to that of the contrasting frameworks offered by the 2-fold “wave” and “particle” articulations of quantum mechanics — offering little guidance to comprehension of any underlying unity. This 2-fold complementarity is however upheld as the most realistic framework through which physical reality may be comprehended.

Reference to the decoding of the Rosetta Stone is a potentially useful way of framing the conceptual challenge of relevance to global governance in this period, as argued separately (Memorable Packing of Global Strategies in a Polyhedral Rosetta Stone, 2023). As a metaphor, the question is the integrative perspective thereby offered.

As with several of the earlier exercises cited, the following exploration makes extensive use of AI in the form of ChatGPT (and specifically its plugin). Reservations regarding such use have been previously noted, both with regard to the questionable verbosity and style of responses, and what could be termed an undue degree of “algorithmic enthusiasm” for the relevance of the questions posed (Eliciting integrative insight via ChatGPT, 2024). The role of such AI facilities as an “aggregator” of non-numeric information, rather than as a “computer” of numeric data, is discussed below. Of particular interest however is critical assessment of the extent to which the responses frame new insights rather than a preponderance of “strategic clichés” — potentially derived from the reports of that quality which feature in many authoritative references.

As a continuing experiment with artificial intelligence, a summary of the exchange with ChatGPT was requested of ChatGPT. This is presented in the conclusion together with a rendering in two contrasting poetic form. The summary was then used by ChatGPT to instruct its image generating facility to represent the 4-fold pattern visually. Brief mention is made of the relevance of that pattern to climate change discourse and the tragedy of Gaza.

As previously noted, a merit of this approach is that readers can explore alternative articulations by repeating (or amending) the questions to the AI facilities to which they have access — especially as those facilities become more sophisticated and have a wider access to published research. For convenience, the responses of ChatGPT are presented below in grayed areas.


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