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1 July 2024 | Draft

AI Commentary on an Envisaged Synthesis Dialogue

On the occasion of the proposed Summit of the Summits and its possible enhancement by AI

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Introduction
AI Commentary on the initial Summit proposal
Potential role of artificial intelligence in summitry
Requisite variety of roles and interventions for significant synthesis
Potential insights from a Zen perspective
Insightful implications of Zen koans
Potential correspondence with micronutrients essential to life
Rendering a 48-fold set of insights memorable through visualization
Recognition of learning pathways towards synthesis
Correspondence with Inner Development Goals (IDGs)
Koan insights potentially associated with Sustainable Development Goals (SDGs)
Recognition of transformational learning pathways
Higher dimensional reconciliation of patterns vital to synthesis
Enabling cross-cultural pattern comprehension through visualization
Cross-cultural synthesis as a cognitive challenge of paradoxes and riddles
Humour as a traditional key to memorable strategic insight
References


Introduction

The early web version of the program of the Summit of the Summits to be held in in Hakone (Japan) in September 2024 invites critical commentary in an exercise appropriate to the times. Possible criteria for such commentary are identified in Evaluating Synthesis Initiatives and their Sustaining Dialogues (2000) and submitted to two AIs in the form of ChatGPT 4 and Claude 3 (Opus variant) together with the web variant of the Summit program.

The exercise followed earlier speculative experiments with the two AIs and presentation of their comments in response to a set of questions (Eliciting a Pattern that Connects with AI? 2024; Experimental AI Meta-analysis of an Academic Journal Issue, 2024). These highlighted various reservations with regard to the process and the nature of the responses. As in what follows, little effort was made to challenge the responses in quest of more precise articulation -- an iterative engagement possible in future development of this approach.

With respect to the explicitly speculative framing of the questions presented to the AIs, it is somewhat surprising how proactively they respond to that possibility -- registering appropriate reservations -- in a period characterized by "failure of imagination". This is seen as consistent with a need for imaginative reflection on the crises of the times, as discussed separately (Time for Provocative Mnemonic Aids to Systemic Connectivity? 2018). Of potential relevance is the extent to which AI can enable dialogue of higher quality (Use of ChatGPT to Clarify Possibility of Dialogue of Higher Quality, 2023; Higher Dimensional Reframing of Unity and Memorable Identity, 2024; Artificial Intelligence as an Aid to Thinking Otherwise -- but to what End? 2023; Second-order Dialogue and Higher Order Discourse for the Future, 2023).

Coincidentally the Summit of the Summits in Japan is envisaged in the same period as that of the United Nations Summit of the Future in New York -- with the theme of Our Common Agenda, framed as the UN Secretary-Genera's vision for the future of global cooperation. At the time of writing it is unclear to what extent AI will be used to enhance the discourse of the UN Summit -- especially since it is explicitly associated with a UN policy brief on the Global Principles for Information Integrity. This offers a comprehensive framework to guide multistakeholder action for a healthier information ecosystem -- with of five key principles designed to strengthen information integrity. That initiative follows an earlier summit organized by a UN Specialized Agency -- AI for Good Global Summit (2023), in which it is does not appear that any significant use was made of AI.

The following experiment is inspired by themes characteristic of Japanese culture -- as evoked by its provisional program. This invites reference to Zen philosophy as characterized by the traditional set of 48 koans of the so-called Gateless Gate (Mumonkan). A case has been previously made for the value of appreciating the insights of "Eastern" articulations to complement those promoted so vigorously within the "Western" frameworks with which AI is so prominently associated (Coherent Reconciliation of Eastern and Western Patterns of Logic, 2023). A specific challenge is assumed to be that of the comprehension and memorability of complex frameworks -- hence the provocative evocation of 47 micronutrients as insightful metaphors (Memorable Configuration of Psychosocial "Vitamins", "Amino acids" and "Minerals", 2024). The AIs in the following experiment engaged proactively and explicitly in the hypothetical confrontation of such micronutrients with the set of 48 koans -- and with possibilities for their memorable geometrical configuration as polyhedra.

Of further interest, and of some relevance to the preoccupations of the UN, the AIs were able to adapt that speculative exploration both to the set of Sustainable Development Goals (SDGs) and that of the Inner Development Goals (IDGs). A particular merit of any Zen framing is the recognition of a degree of paradox and humour potentially inherent in articulations from which it is too readily assumed to be absent, as discussed separately (Paradoxes of Durable Peace, Heaven and a Sustainable Lifestyle, 2023; Humour and Play-Fullness: essential integrative processes in governance, religion and transdisciplinarity, 2005).

As in the previous experiments, the responses of ChatGPT are distinctively presented below in grayed areas, in parallel with those of Claude 3. Given the length of the document to which the exchange gives rise, the form of presentation has itself been treated as an experiment -- in anticipation of the future implication of AI into research documents. Web technology now enables the whole document to be held as a single "page" with only the "questions" to AI rendered immediately visible -- a facility developed in this case with the assistance of both ChatGPT and Claude 3.

This compact presentation facilitates readability and overview by reducing the apparent length of the complete document by 90%. However readers have the ability to toggle access to the individual AI "response" associated with each question -- and to hide it. This interactive facility is not available in the PDF forms of the document -- for which both questions and responses are necessarily visible in a necessarily lengthy presentation.


AI Commentary on the initial Summit proposal

Question: The document on Synthesis Initiatives indicates criteria for evaluating the proposed gathering of the Summit of the Summits. Could you comment critically on the second in the light of the first

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Potential role of artificial intelligence in summitry

Question: With respect to the document on the Summit of the Summits (as previously uploaded), and the associated comments, could you comment on the potential relevance of AI to the enhancement of the dynamics of that summit -- in the light of the attached document [Envisaging the AI-enhanced Future of the Conferencing Process, 2020]

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Requisite variety of roles and interventions for significant synthesis

Question: Could you offer more detailed commentary on the variety of roles and interventions appropriate as a basis for a rich synthesis -- and the symbolic implications of their dynamics

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Potential insights from a Zen perspective

Question: Given that there will be significant Japanese implications, could you comment on how Zen insights might feature fruitfully in the Summit to add depth and dimensionality

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Insightful implications of Zen koans

Question: In mentioning the role of koan, you did not make specific reference to the implications of the 48 koan of the "Gateless Gate" -- surely a symbolic synthesis in its own right of symbolic relevance to the event in many respects, as presented in the attached document [Configuring a Set of Zen Koan as a Wisdom Container, 2012]

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Question: Given the rich articulation of Buddhist logic, is there any trace of why the set of koans numbers 48. Is this understood in mathematical terms as a complete set in some sense

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Any insight into 48 from a mathematical perspective may offer clues to its value with respect to coherent cognitive organization and memorability. As indicated by Wikipedia:

Potential correspondence with micronutrients essential to life

Question: Also in this exchange, there has been a focus on the psychosocial "vitamins" (12), "amino acids" (20) with a possible set of "minerals" (15) -- together totalling 47 [Memorable Configuration of Psychosocial "Vitamins", "Amino acids" and "Minerals", 2024]. To the extent that these could be interpreted as corresponding to the set of 48 koans (configurable on vertices of a truncated cuboctahedron or edges of a rhombicuboctahedron), could you speculate on how the koans could be understood as micronutrients -- possibly of a higher order

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Question: Perhaps appropriately you have only offered selected examples of comparability. Could you extend your speculation to the complete set of koans. Given recognition of how the koans might be configured geometrically to cluster them appropriately, do you have any suggestions as to how this might be done

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Rendering a 48-fold set of insights memorable through visualization

Whilst the AI suggestions for mappings constitute a valuable provocation to further reflection, no attempt was made in the following animations to attribute the koans according to those suggestions. These appear to call for much further consideration and insight, notably from polyhedral combinatorics. The challenge for any potential integrative insight, whether for an individual or a society, can however be framed as how to render a 48-fold pattern comprehensible and memorable. The set of koans of the Gateless Gate is one representation of that challenge to comprehension -- as it can be presented through various polyhedra.

Indicative mapping of 48 koans and micronutrients onto Archimedean polyhedra
48-edged Rhombicubocthedron mapped with 48 koans 48-vertex Truncated cuboctahedron mapped with 48 koans
48-edged Rhombicubocthedron mapped with 48 koans 48-edged Rhombicubocthedron mapped with 48 koans

48-vertex Truncated cuboctahedron mapped with 48 koans

48-vertex Truncated cuboctahedron mapped with 48 koans
Produced with the aid of Stella4D

An obvious question is how the arbitrary mappings above might be transformed into a more orderly memorable pattern indicative of related cognitive processes. In the following configuration -- rather than use the edges (above left) or vertices (above right), the faces of a polyhedron are used. A 3-fold colouring of the 48 elements of the set of koan-micronutrients can then be used to frame the question of how the "vitamins" (green), "amino acids" (cyan), and "minerals" might be ordered on the polyhedron. The challenge is somewhat reminiscent of the widely recognized challenge of appropriately ordering Rubik's "magic cube"as previously discussed (Harmonizing Dissonance via a Rubik's Cube Framework, 2024; Interplay of Sustainable Development Goals through Rubik Cube Variations, 2017; Rethinking Rubik's Cube: a mnemonic device for ways of knowing and engagement? 2009).

Indicative mapping of 48 koans and corresponding micronutrients on 48-faced dual of Truncated cuboctahedron ("Disdyakisdodecaheron")
Dual of Truncated cuboctahedron Unfolded network (Un)folding animation
48-faced dual of Truncated cuboctahedron mapped with  48 koans and 47  micronutrients 48-faced dual of Truncated cuboctahedron mapped with  48 koans and 47  micronutrients Folding animation of 48-faced dual of Truncated cuboctahedron mapped with  48 koans and 47  micronutrients
Produced with the aid of Stella4D

Of potential interest to recognition of the challenge of higher dimensionality to integrative comprehension -- in the light of the set of insights of the 48 koans -- is a configuration in 4D. Ths is known variously as the tetracontoctachoron, commonly called the 48-cell -- consisting of 48 truncated cubes whose facets are termed "cells". As a bitruncated 24-cell, it is a convex noble uniform polychoron (one of 64). Four cells join at each vertex. It is the medial stage of the truncation series between a regular icositetrachoron and its dual. Alternatively, it is also the stellation core of the compound of two opposite icositetrachora, the stellated tetracontoctachoron. Its configuration in 4D can only be indicated through various approaches to its projection into 3D. Such images frame the question of the cognitive correspondence to "truncation" with respect to comprehension.

Alternative (necessarily distorted) representations in 3D of 4D 48-cell (bitruncated 24-cell) configuration
Orthographic projection of the bitruncated 24-cell into 3D Tetracontoctachoron Animation of cross-sections of tetracontoctachoron
Orthographic projection of the bitruncated 24-cell into 3D

Tetracontoctachoron

Animation of cross-sections of tetracontoctachoron
  Produced with the aid of Stella4D
By Tetracube at en.wikipedia, CC BY-SA 3.0, Link Tomruen at English Wikipedia User:Galoomba

The animation on the right above is suggestive of the manner in which the cognitive relationship between the insights of the sets of koans is dynamic rather than static. More generally this reinforces the argument that integrative synthesis is itself dynamic rather than statically configured.

The above visualizations were preceded by earlier exercises in formatting the koans of the Gateless Gate for Twitter (Configuring a Set of Zen Koan as a Wisdom Container, 2012). Those exercises were further developed at that time with concluding arguments and a complete set of references presented in a later paper (Enabling Wisdom Dynamically within Intertwined Tori: requisite resonance in global knowledge architecture, 2012). 

Question: If the 48 koans are mapped onto edges of a rhombicuboctahedron of 48 edges, it seems that one preliminary method of distribution is by pairs -- since there are 24 pairs forming 24 great circles. Can you suggest how the set of 48 might be split into opposing pairs

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Highlighting a pattern of 24 -- as with pairs of koans -- through "bi-truncation" of that pattern invites a distinctive approach to visualization through a 3D rendering of the 4-fold lauburu symbol central to Basque culture (24-fold Pattern Implied by Dynamics of the Lauburu in 3D, 2016). This was explored as the visualization of the interplay of sets of voices in discourse, as discussed separately (Improvisation in Multivocal Poetic Discourse: Basque lauburu and bertsolaritza as catalysts of global significance, (2016).

Question: Whilst those pairings can be arbitrarily mapped onto the polyhedron, the obvious challenge is how the 4 great circles intersecting at a vertex are distinguished -- especially since "connecting" co-linear edges through each vertex form "sub-circles". Can you comment on this

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From the perspective of environmental design, an interpretation of the "gate" meme used by Zen is offered by Christopher Alexander in The Timeless Way of Building (1979), as discussed separately (Beyond Edge-bound Comprehension and Modal Impotence: combining q-holes through a pattern language, 1981). For Alexander:

A configuration of insights can be undersood as a "cognitive gate". Alexander and colleagues presented a preliminary list of 253 patterns in  A Pattern Language (1977). These can be seen as focusing on the physical environment of towns, buildings, and construction. The 48-fold pattern might be explored as clustering the 253 in some manner. As a systemic gate, the 253 also invite experimental interpretation, implying sets of four "corresponding" patterns (5-fold Pattern Language, 1984):

Alexander's subsequent magnum opus (The Nature of Order: an essay on the art of building and the nature of the universe. Center for Environmental Structure, 2003-4) inspired his further reflection on patterns (New Concepts in Complexity Theory: an overview of the four books of the Nature of Order with emphasis on the scientific problems which are raised. 2003; Harmony-Seeking Computations: a science of non-classical dynamics based on the progressive evolution of the larger whole. International Journal for Unconventional Computing (IJUC), 5, 2009). These in turn invite further reflection (Harmony-Comprehension and Wholeness-Engendering: eliciting psychosocial transformational principles from design, 2010).

Whilst Alexander's design patterns are indeed individually comprehensible, the set as a whole poses a major challenge -- despite their focus on the physical environment. Given their abstract nature, this is potentially even more so in the case of the psychosocial pattern of 48 koans of the Gateless Gate. It is therefore intriguing to consider the pattern of some 47 patterns of micronutrients with which many are variously familiar as vital to healthy nutrition. Surprisingly it would appear that these micronutrients are also a challenge to memorability and comprehension. There are many references to nutrition mnemonics and diet mnemonics -- typically referring only to subsets of the 47. These may even emphasize those that are "essential" -- with the implication that they cannot be generated by the body and are dependent on environmentally supplied nutrition.

The challenge of memorable comprehensibility is especially relevant with respect to the UN's set of 17 inherently unmemorable Sustainable Development Goals -- or the efforts to promote a set of equally unmemorable Inner Development Goals (as discussed below). With respect to the sustainable health of the body -- and seeing things whole -- there is however considerable irony to the equivalent challenges of memorability of the set of micronutrients (vitamins, amino acids and minerals).

Recognition of learning pathways towards synthesis

Question: Accepting that this is a speculative exercise, to what degree are the learning pathways recognized in Zen

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Correspondence with Inner Development Goals (IDGs)

Question: Earlier in this exchange a degree of correspondence between the amino acids and the set of skills articulated in the Inner Development Goals (IDG) initiative. Does this suggest a possible relationship with the set of koans, notably with respect to learning pathways

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Koan insights potentially associated with Sustainable Development Goals (SDGs)

Question: The Inner Development Goals were articulated as a complement to the 17 Sustainable Development Goals (SDGs) of global policy. Despite speculative exploration, it remains unclear in systemic terms why a pattern of 17 was deemed appropriate as "macronutrients" for the collective -- and how it might be comprehensibly configured as a viable system. If each SDG is a collective learning modality, how might it correspond to one or more IDGs -- namely what is the learning that might be understood as associated with each SDG, potentially exemplified by the insight of a koan. Systemic links between the SDGs were previously suggested

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Recognition of transformational learning pathways

Question: As presented, a "pathway" tends to imply a directional process -- especially given the use of "goal" and its potential achievement. Metabolic cycles imply continuity however -- through conditions -- with the cycle as a whole more akin to a thermodynamic cycle (a "work cycle"). Metabolic cycles are named in that light in contrast with linear pathways. The IDG framework can be understood as 5-fold from that perspective, with the correspondence of koans then to be understood as a 5-fold set of cycles. Does the lack of numeric correspondence between IDGs and SDGs suggest a deficiency of collective insight with regard to the latter.

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Higher dimensional reconciliation of patterns vital to synthesis

Question: Given that the 17-fold pattern of the SDGs may reflect the unwitting (intuitive) correspondence with a higher dimensional pattern more complex than than 3D topology, might the IDGs and SDGs be more appropriately reconciled in dimensions greater than three -- as exemplified by the uniform polychora.

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Enabling cross-cultural pattern comprehension through visualization

Question: Given the importance in the communication of Zen insights to the cycle of 10 oxherding images, variously depicted, and given the visual references in descriptions of many koans, could the learning patterns be rendered more comprehensible through visual innovation appropriate to different cultures

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Cross-cultural synthesis as a cognitive challenge of paradoxes and riddles

Question: The koans are typically recognized as paradoxes. An alternative, potentially more meaningful and challenging to some in other cultures, is to represent each associated insight in terms of a riddle. This corresponds to the dilemmas experienced strategically. Could you elaborate such a corresponding set of riddles

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Question: That response appropriately highlights each SDG as a strategic riddle. Does the set of 48 koans suggest a more complex set of riddles, or is the articulation of each as a paradox to be understood as a riddle in its own right

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Question: The articulations presented have benefitted to a problematic degree from the insights of one culture -- partially clarified by their relation to a global conventional perspective. Whilst a focus has been usefully given to recognition of integrative patterns, the terminology is unfortunately obscure for many. What other sources of patterned insight regarding integrative learning pathways can be understood as corresponding to those noted.

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Question: The indication of frameworks offered by a variety of cultures does not acknowledge the relative degree of articulation especially evident in the set of koans -- and their potential correspondence (if only speculative and metaphorical) with the set of micronutrients recognized by science. At what stage in the training of AI on the articulations of such disparate psychosocial frameworks will AI be able to propose patterns of correspondences as extensive as those possible for the set of koans -- with whatever reservations may be appropriate. Is there any trace of such endeavours at this time

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Humour as a traditional key to memorable strategic insight

Question: Missing from that response is reference to the mnemonic device of a succinct metaphor used in communicating the koans, notably evident in other traditions (Aesop's fables, Anansi tales, Nasreddin tales, Jataka tales, Panchatantra, Br'er Rabbit stories). A form of that device is used in the detailed explanations of the transformations in the I Ching. Is it not already possible to enable AI to propose memorable correspondences between them, whether or not an asbstract encoding is devised -- as with the hexagrams of the I Ching.

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Question: Given that the tales noted are distinctively memorable to many, and notably the young, is there a case for reframing the obscure allusions by which the 48 koans are named in order to evoke far wider appeal and comprehension as a set. Especially relevant are the tales with a more explicitly humorous twist, as with the tales of Nasreddin or the Br'er Rabbit stories. Are you able to suggest humorous variants of the 48 koans -- offering access to insight otherwise. Of some potential relevance is a compilation of The Wit and Wisdom of the United Nations (1961). The possibility frames the question as to how the jokes can be made more pointed and memorable -- and how more humorous is associated with deeper insight. Could you develop examples for the complete set

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References

Christopher Alexander:

Ronald Atkin:

Hannah Critchlow. Joined-Up Thinking. Hodder and Stoughton, 2022

Susantha Goonatilake:

Erich Jantsch. Towards interdisciplinarity and transdisciplinarity in education and innovation. Interdisciplinarity, Problems of Teaching and Research in Universities. OECD, 1972 [text]

David Mumford, Caroline Series and David Wright. Indra's Pearls: The Vision of Felix Klein. Cambridge University Press, 2015

George Spencer-Brown. Laws of Form. Dutton, 1969 [summary]

Evan Thompson, Adam Frank, and Marcelo Gleiser. The Blind Spot: why science cannot ignore human experience. MIT Press, 2024 [contents]

Arthur Young. The Geometry of Meaning. Delacorte Press / Seymour Lawrence, 1976

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