Derick's claim in S2 and S3 has the structure of a genealogy you can draw on a single page.1 2
It starts in Igboland, with Afa — the divination apparatus the dibia uses. The dibia casts palm-nuts (or, in some practices, manipulated chains of carved discs) and reads the resulting pattern of "ups" and "downs." Each cast yields a sixteen-position pattern. Each position is either "open" or "closed." There are sixteen possible single-row outcomes; pairing two rows gives 256 outcomes; the full Afa apparatus generates a vast pattern-space that the dibia reads as cosmological message.
The genealogy Derick draws: this pattern-system travels northward across West Africa, then across the Sahara, into North Africa, where it is absorbed into medieval Arabic divination as 'ilm al-raml — "the science of the sand." From there it crosses the Mediterranean into medieval Europe as "geomancy" (literally "earth-divination"). From medieval European geomancy it enters the early-modern stream of Western thought, where Gottfried Wilhelm Leibniz develops his binary-code system in the early eighteenth century — and from Leibniz's binary, eventually, the modern computer.2
The genealogy ends: every digital device you have ever touched runs on a pattern-architecture that started in an Igbo divination practice.
This is a big claim. It deserves a careful page, because half of it is well-attested in mainstream historiography and half is at the contested edge.
The genealogy is not one claim. It is three linkages, each with its own evidentiary status.
Linkage 1: Afa → North African geomancy → European geomancy. This linkage is well-attested in mainstream history of mathematics and history of divination. West African divination systems (Afa in Igbo; Ifa in Yoruba; related systems across the broader West African substrate) entered Arabic divinatory practice through Saharan trade contact during the medieval period. 'Ilm al-raml, the Arabic geomancy tradition, absorbed and elaborated the binary-pattern logic. From Arabic Iberia and Sicily, the system entered Latin European intellectual culture as "geomancy," where it became one of the well-known divinatory arts of the medieval and Renaissance periods. This linkage is uncontested.
Linkage 2: European geomancy → Leibniz binary code. This linkage is the contested part of the genealogy. The mainstream history-of-mathematics account has Leibniz developing binary arithmetic in the late seventeenth century primarily through his theological program (binary as the most parsimonious arithmetic, with 0 and 1 expressing nothing-and-God), with secondary influence from Chinese I Ching hexagrams (which Leibniz famously studied and identified as binary). The Eglash thesis (Ron Eglash, African Fractals, 1999) advances the alternative claim that European geomancy — which Leibniz would have encountered as part of the European hermetic/divinatory tradition — was also a binary-pattern system, and that Leibniz's binary thinking may have been informed by exposure to geomantic pattern-structures in addition to I Ching. This is a minority position within mainstream history of mathematics. It is plausible and has scholarly backing; it is not the consensus account.
Linkage 3: Leibniz binary code → modern computing. This linkage is uncontested. Modern digital computing uses binary arithmetic, and the lineage from Leibniz's binary through Boolean algebra (Boole) through Shannon's information theory and the development of digital electronics is well-mapped in history of computing.
So the genealogy as a whole has: well-attested first leg, contested second leg, well-attested third leg. The strong form of the claim ("Afa is the origin of binary code") requires Linkage 2 to hold. The weaker form of the claim ("Afa is a binary-pattern-system that anticipates by centuries the European discovery of binary arithmetic") does not require Linkage 2 and is mainstream-defensible.1 2
You cannot evaluate the genealogy without understanding what Afa actually is on its own terms. The structural-binary nature of the system is real and worth seeing operationally.
A dibia casts the Afa apparatus. The cast produces a sixteen-position pattern. Each position is one of two states — often described in Igbo as "ji" and "obi" (yam and palm), or in the casting practice as "up" and "down" depending on how a palm-nut lands. The cast produces, in effect, a sixteen-bit binary number.2
That binary number maps to one of the 2¹⁶ = 65,536 possible Afa "verses" (in some configurations of the system) or, more commonly, to one of the 256 paired patterns that form the canonical Afa-divination space. The dibia knows the verses; each pattern has its associated cosmological message, set of guidance, ritual implication. The cast is the random-number generator; the verse-system is the lookup-table.
This is structurally identical to how modern computer instructions work. A binary number is generated. The number maps to a function in the instruction-set. The function is executed. The Afa apparatus does cosmology where the computer does computation, but the binary-pattern-as-address-of-a-lookup-table architecture is the same.
The structural-binary nature of Afa is not Derick's invention. It is observed in mainstream Igbo divination scholarship and is one of the well-documented features that the Eglash African Fractals line of scholarship draws on. The Igbo dibia tradition has been operating a binary-pattern divinatory apparatus for centuries (probably longer), and this is uncontroversial at the structural-mathematical level.
This concept page does specific work for the vault.
It anchors the Igbo Afa-divination material — both existing pages (the Afa material in Igbo Experience-Over-Belief Epistemology) and future Afa-specific pages — in the cross-domain handshake to mathematics and computing.
It surfaces a load-bearing methodological case for the vault: how to handle genealogical-historical claims that have a mainstream-defensible core (Linkage 1) wrapped in a contested extension (Linkage 2) wrapped in another mainstream-defensible terminus (Linkage 3). The page's structure (separate the linkages by evidentiary status; present each on its own merits) is a methodological template for handling other Medicine-Shell-style genealogy claims.
It opens the cross-domain conversation between Africanist religious studies and history of mathematics. The two fields have had less crossover than they should; the Afa-binary-code genealogy is the kind of case where the conversation has to happen seriously rather than dismissively.
It grounds Nsibidi as Ekpe Ideographic Script — Derick's adjacent claim that Nsibidi is the written form of Afa's pattern-language. If Afa is a structural-binary system and Nsibidi is its written form, the cross-domain handshake to writing-system scholarship becomes load-bearing.
It surfaces a question the vault should track: how many other African divination systems are also binary-pattern systems? Yoruba Ifa is. Vodun divination has binary-pattern features. Bantu systems may. The Eglash thesis predicts that binary-pattern divinatory architectures are a substrate-feature of West African religion broadly. If this is true, the implications for both Africanist religious studies and history of mathematics are substantial.
Take a concrete case. An Igbo client comes to a dibia with a problem — a recurring illness, a relational rupture, an unexplained run of misfortune. The dibia performs an Afa cast.1 2
The dibia handles the apparatus — palm-nuts or carved-disc chain. The handling is done with prayer; the apparatus is "addressed" cosmologically before casting. The cast produces a pattern. The dibia reads the pattern.
The pattern, as a sixteen-position binary string, locates a verse in the Afa corpus. The verse is a piece of traditional Igbo wisdom — sometimes a parable, sometimes a piece of practical guidance, sometimes a specific ritual prescription. The verse is the cosmological answer to the client's question.
What is operatively happening at the cosmological level: the dibia tradition believes that the cast is not random. The pattern produced by the cast is the cosmos' answer to the question being asked. The randomness of palm-nut behavior is the apparatus by which the cosmological answer enters the human-perceivable register. The dibia's discipline is reading the answer the cosmos has produced, not generating the answer themselves.
What is operatively happening at the mathematical level: the cast is generating a uniformly random binary number; the apparatus is the lookup-table. The cosmological framing of "the cosmos answered the question" maps onto, in computational terms, "the random-number-generator selected a function from the instruction-set."
The cross-domain insight: the cosmological framing and the computational framing are not in conflict. The Igbo cosmology takes the random-number-generator-as-cosmos-speaking view; modern computing takes the random-number-generator-as-random view. Both can hold the same mathematical-structural apparatus. The disagreement is about what the randomness is doing, not about whether the structure is binary.
Eglash's argument in African Fractals, made carefully, is something like this: West African divination cultures developed binary-pattern systems for cosmological reasons centuries before European mathematics developed binary arithmetic for computational reasons. The binary-pattern architecture was already operational. Whether Leibniz inherited it (Linkage 2) is the contested question; whether the architecture was already operational in West African divination (Linkage 1) is uncontested.
You probably do not have access to an Afa cast. But the conceptual content of this page has implications for how you can read your own engagement with binary-pattern-systems.
Think about the binary-systems you interact with daily. The computer you are reading this on. The phone in your pocket. The light switches in your house. Every yes/no question you face. Every fork in a decision-tree.
Now sit with this: in the Igbo cosmological frame, every binary-pattern is a cast. Not in the sense that every binary system is divination, but in the structural sense that the binary-pattern-architecture is a cosmologically-significant feature. The architecture is the same whether you are using it to compute or to divine; what differs is the framing of what the pattern is doing.
A practice: take a real fork-in-the-road decision you are facing. The decision has two options. Frame it as a cast. Sit with each option as if it were one half of a binary divinatory pattern. What is the cosmological message embedded in each option?
This is not asking you to do Igbo divination (you have not been initiated; you do not have the apparatus or the verse-corpus). It is asking you to take the binary-pattern frame seriously as a cosmological architecture rather than only as a computational architecture. The Western post-Enlightenment habit of treating binary-pattern-systems as purely mechanical is one cosmological framing. The Igbo divination tradition's framing is different. Holding both makes you see the binary in your own life differently.
There is also a practical implication for how to think about your engagement with computing technology. If the binary-pattern-architecture has a cosmological lineage (whether Linkage 2 holds or not), then your engagement with computing devices is an engagement with an architecture that started in cosmology and migrated into engineering. The migration is recent (post-Leibniz, accelerated since the mid-twentieth century). The architecture's older cosmological-divinatory phase is still operative in West African tradition. The computers you use are recent applications of an architecture that has been doing other work for much longer.
What this changes operationally: it gives you a frame for taking your own computing-attention practices seriously. The binary-pattern-architecture is what is doing work in your phone-attention. The dibia tradition's discipline (controlled engagement with the binary-pattern-cast, framed cosmologically, attended to as message) is not directly available to you, but the attentional posture is — treat your screen-engagement with the seriousness the architecture deserves.
The most common failure mode of this kind of genealogy claim is strong-form pseudo-history — collapsing the three linkages into a single uncontested claim and treating "Afa is the origin of binary code" as established when only the structural-binary-nature claim (Linkage 1) is fully established.
You can recognize the failure mode by these signs.
The first sign: the contested linkage gets treated as established. The Eglash thesis becomes "African Origins of Binary Code Now Proven" rather than "Eglash thesis: contested, scholarly support exists, mainstream not yet convinced." The contested status of Linkage 2 is what makes the genealogy interesting; flattening it loses the actual intellectual work.
The second sign: the genealogy becomes ammunition. The strong-form claim gets deployed in identity-politics or anti-colonialism arguments without the careful evidentiary work being done. This is bad for the underlying scholarship because it makes the Eglash-type research look like motivated reasoning rather than substantive history-of-mathematics work.
The third sign: the actual content of Afa gets neglected. The genealogy claim becomes more important than the divination system itself. Afa-as-cosmology, Afa-as-operational-dibia-practice, Afa-as-tradition-content gets sidelined while the historical-genealogy claim eats the conversation. The tradition deserves its own attention, not just attention as a candidate-ancestor for European mathematics.
Real handling of this genealogy: present each linkage on its own evidentiary weight. The structural-binary nature of Afa is uncontested and worth taking seriously on its own terms. The mainstream-attested Linkage 1 (Afa → North African → European geomancy) is solid history. The Eglash-line Linkage 2 (European geomancy → Leibniz) is a serious minority scholarly position that deserves engagement. The Linkage 3 (Leibniz → modern computing) is solid history of mathematics. Treating each linkage with appropriate weight preserves the intellectual seriousness of the underlying material while avoiding the strong-form pseudo-history trap.
The genealogy claim is attested in S2 (lines 246-251) and elaborated in S3 (lines 800-813).1 2 Derick presents the strong-form genealogy without explicit acknowledgment of the contested Linkage 2; the vault treats Linkage 2 as Eglash-thesis territory, not as established history.
See Medicine Shell Source Tensions Category 1 for the quarantine treatment of the genealogy as one of Derick's etymological-continuity claims. The page treatment here goes deeper into the structural-mathematical detail than the source-tensions ledger entry; the ledger flags the contested status; this page explains why the contested status is real.
The mainstream history-of-mathematics scholarship on Leibniz's binary development is anchored in Donald Knuth's Art of Computer Programming (which treats Leibniz's binary as primarily theological-arithmetical with I Ching secondary influence), the Couturat La Logique de Leibniz tradition (similar), and a range of more recent Leibniz-scholarship that has continued to focus on the theological and Chinese-mathematics influences. The Eglash African Fractals (1999) thesis is the principal source advancing the European-geomancy-as-Leibniz-input alternative. The scholarly debate is live but the mainstream has not moved substantially.
Open question: what is the actual primary-source documentation for Leibniz's exposure to European geomancy? Leibniz was a wide reader and the hermetic tradition of his period included geomantic practice; whether Leibniz read or engaged with geomantic texts is a researchable historical question that would clarify Linkage 2.
Open question: how many other West African divination systems have the structural-binary architecture? Eglash documents several. A more systematic comparative study would be valuable. If the architecture is widespread across West African substrate, Linkage 1 becomes stronger and the case for the broader genealogy becomes more substantive.
Open question: the Nsibidi-as-Afa-written claim Derick advances (S3) is structurally adjacent to this genealogy. If Nsibidi is the writing-system for Afa's pattern-language, then West African religion was operating a binary-pattern writing system alongside the binary-pattern divination. This is an extraordinary claim and the relationship between Nsibidi ideograms and Afa pattern-structures is an open research question.
Derick is the primary practitioner-voice making the strong-form genealogy claim. The Eglash African Fractals tradition is the academic-scholarly version of the same general line of inquiry. The convergence between Derick (practitioner-voice) and Eglash (academic-voice) is real and worth noting: they are both pulling on the same thread (West African binary-pattern architectures as cosmologically primary, anticipating European mathematics). The difference is methodological — Derick treats the genealogy as established tradition-transmission; Eglash treats it as scholarly hypothesis requiring evidentiary work.
The productive tension is in the strength of the claim. Derick's strong-form genealogy ("Afa is the origin of binary code") goes further than Eglash's scholarly position ("African divination systems anticipated and may have informed European binary mathematics"). The vault sides with Eglash's more cautious formulation while preserving Derick's strong-form as the tradition-practitioner's own articulation of what the West African substrate is doing cosmologically.1 2
What this convergence reveals: practitioner-voices and academic-voices can productively cross-fertilize when both are working honestly. Derick brings the operational tradition-context that academics rarely have. Eglash brings the evidentiary discipline that practitioners are not required to bring. The vault gets the fullest picture by holding both — the practitioner-version of the genealogy as what the tradition itself articulates, the academic-version as what the contested-evidentiary-status looks like in scholarly form.
The Afa-binary-code-genealogy handshakes broadly across the vault, into mathematics, history, and writing-systems.
Cross-domain (history of mathematics): I Ching, Binary, and Leibniz — the well-documented case of Leibniz's engagement with I Ching hexagrams as a binary-pattern system. Leibniz's correspondence with Joachim Bouvet (Jesuit missionary in China) is the primary-source documentation. The handshake reveals: Leibniz's binary-thinking had at least one well-attested non-European source (Chinese I Ching). If the I Ching connection is established, the European-geomancy connection becomes a parallel question rather than a fringe claim — both I Ching and European geomancy are non-European-or-pre-European binary-pattern systems that Leibniz could have engaged. The mainstream history-of-mathematics literature is more comfortable with the I Ching connection than with the European-geomancy connection; understanding why is part of understanding the methodological field.
Cross-domain (writing systems): Binary-Pattern Writing Systems — writing-systems scholarship has documented several non-alphabetic writing apparatuses that operate on binary-pattern principles (Korean hangul has binary-feature elements; some Native American writing-systems use binary-pattern logic; the proposed Nsibidi-Afa connection would add another). The handshake reveals: binary-pattern writing is a recurrent invention across world-cultures, not an exotic feature. The hypothesis that Nsibidi is Afa-language-written would make the Igbo case one of the better-developed cases of binary-pattern writing-system. This is a writing-systems research thread the vault should pursue.
History: Trans-Saharan Trade Networks — the historical-economic infrastructure that would have carried Afa northward into Arabic North Africa. Trans-Saharan trade networks were robust from the medieval period onward and carried not just goods but knowledge, divination practices, religious traditions, mathematical systems. The mainstream historical scholarship documents extensive intellectual exchange across Saharan trade. The handshake reveals: Linkage 1 (Afa → North African geomancy) has substantial historical infrastructure to operate within; the transmission pathway is mainstream-attested.
The Sharpest Implication
If Linkage 1 is solid history (the mainstream-attested West African origin of European geomancy) and Linkage 2 is contested-but-defensible (the Eglash thesis about geomancy as Leibniz-input), then the standard textbook history of computer science is operating with a possibly-truncated origin story. The standard story starts in Europe with Boole, Babbage, Turing, von Neumann, Shannon. The longer story may start in Igboland with Afa, travel through medieval Arabic geomancy, and inform European binary mathematics centuries before Boole.
What this forces you to reconsider: the geographic and racial assumptions embedded in standard histories of mathematics and science. The standard history's center-of-gravity is European; the alternative-history with mainstream-defensible Linkage 1 and contested-defensible Linkage 2 places significant load-bearing weight on West African cosmology. If the alternative-history is even partly right, the standard center-of-gravity is wrong.
To take this seriously is to consider that much of what gets taught as "the history of European mathematical achievement" may be the European-phase of architectures that came from elsewhere. This is uncomfortable for the standard textbook story. It is the kind of revisionism that is sometimes overstated (the strong-form pseudo-history) and sometimes carefully made (the Eglash-line). Distinguishing the two is what serious work requires.
Generative Questions