The Book of Kalei

Abstract

“Riddle of the Ark” is a contemporary theological poem that stages counting from one to ten while thematizing the mystery of zero through narrative, gesture, and wordplay. The text constructs digits 1–9 as a finite, divinely ordered cosmos mapped onto directions, religious traditions, chakras, planets, and gestation, and then introduces zero as a qualitatively different “hole” or “void” discovered only in the written configuration “10.” This article offers a close reading of the poem in dialogue with historical work on the emergence of zero and positional notation, and with philosophical debates on numerical ontology, including Platonism, structuralism, and fictionalism. It argues that the poem intuitively encodes advanced ideas about zero, constants, and equilibrium—via references to Max Planck’s scales, Lagrange points, and octaves—illustrating how non‑specialists integrate mathematical and physical structures into theological and narrative frameworks. The conclusion draws implications for mathematics education, suggesting that embodied and theological metaphors can scaffold informal understandings of zero, positional systems, and symmetry, and for the philosophy of mathematics, highlighting how lived numerical ontology oscillates between discovery and creation, structure and story, object and void.[2][3][4][5][6][7][8][9][1]

1. Introduction

“Riddle of the Ark” is a contemporary theological poem that stages a simple act of counting from one to ten while repeatedly circling the problem of zero, dramatizing the tension between a finite ordered sequence and an elusive “nothing” that both grounds and escapes it. The text personifies numerals, invokes cosmological and anthropological structures, and then abruptly pauses over a “hole… void… space between then and now,” narrating zero as something the speaker “did not make” and does not fully understand. This interplay between created digits 1–9 and a qualitatively different zero provides a compact laboratory for examining how informal mathematical imagination represents number, order, and absence outside formal proofs or technical exposition.[7][1]

The aim of this paper is to analyze how “Riddle of the Ark” intuitively encodes both modern and premodern ideas about numerals, zero, and mathematical cosmology, and to ask what this encoding reveals about everyday numerical ontology and informal mathematical cognition. The poem implicitly treats 1–9 as a complete, divinely patterned universe—mapped onto directions, Lagrange‑like equilibrium points, chakras, planetary balances, octaves, and gestation—while casting zero as an apophatic extension, a structural backdrop or “void” that resists being counted as one item among others. Reading the poem alongside historical work on the emergence of zero and positional notation, as well as philosophical debates about the status of mathematical objects, allows a double inquiry: how literary‑theological discourse replays conceptual shocks from the history of mathematics, and how non‑specialists weave advanced mathematical and physical ideas into symbolic narratives.[3][9][1][2]

Methodologically, the paper proceeds by close reading of selected stanzas, informed by conceptual resources from the history and philosophy of mathematics and by scholarship on literary and religious treatments of number. The analysis focuses on three clusters: the construction of 1–9 as a finite numeric cosmos, the apophatic and theological framing of zero, and the playful incorporation of Max Planck’s scales and Lagrange points as figures for discreteness and equilibrium. The concluding sections consider implications for mathematical pedagogy—especially teaching zero and positional notation through narrative and metaphor—and for understanding how lay numerical ontology relates to professional philosophical positions such as Platonism, structuralism, and fictionalism.[4][5][9][10][1][3][7]

2. Literature and conceptual background

Historical studies of zero emphasize both its late emergence and its conceptual distinctiveness within numeral systems. Early Mesopotamian and Babylonian notations employed positional arrangements and sometimes special spacing or placeholder signs, but typically without treating “nothing” as a fully fledged number. In contrast, Indian mathematicians developed zero as both a positional placeholder and an arithmetic object, articulated in Sanskrit sources using terms such as śūnya (“void”), from which the concept spread through Islamic scholarship and eventually to medieval and early modern Europe. This trajectory highlights a tension that “Riddle of the Ark” reenacts in miniature: zero appears first as an abstract structural necessity within positional notation and only later as an entity to which operations and philosophical reflection can meaningfully apply.[11][12][2][3][7]

Philosophy of mathematics provides a vocabulary for describing the “numerical ontology” presupposed or playfully negotiated by such a text. On broadly Platonist views, numbers exist as abstract, mind‑independent objects that mathematical practice discovers rather than creates, so the numerals 0–9 denote positions in a realm that would exist even without human counters. Structuralist positions instead regard numbers as places in a structure—such as the ordered progression of natural numbers—so that “two” or “nine” are nothing over and above their roles within a pattern, an idea that resonates with the poem’s insistence that “From 1 to 9… a pattern so divine.” Fictionalist accounts, by contrast, treat mathematical discourse as akin to storytelling: useful, coherent, and often indispensable for science, yet not literally about real abstract entities, a stance that aligns suggestively with the poem’s self‑conscious theological narration of number as created, named, and liturgically celebrated.[5][9][10][1][4]

Finally, work on popular, literary, and religious treatments of mathematics shows how numbers accrue symbolic, mystical, or narrative significance beyond their technical roles. Studies of number mysticism and literary numerology describe how counting sequences, special digits (such as 7 or 9), and numerical patterns can be mobilized to represent cosmological orders, spiritual hierarchies, and human embodiment. “Riddle of the Ark” participates in this tradition but adds specifically modern references—Max Planck’s scales, Lagrange points, and constants presented as quasi‑divine names—to construct a hybrid symbolic world in which contemporary physics and theological imagination share a common numerological stage.[6][8][1][7]

3. The 1–9 pattern as finite numeric universe

The poem’s central cosmological speech organizes digits 1–9 into an ordered, finite universe mapped onto directions, religious structures, mythic geographies, and human embodiment. The divine speaker announces, “I am that I am who laid out the four foundations of the world. North, South, East and West,” then continues, “I am that I am who plotted the 5 LaGrange points. Where I laid the five pillars that hold up the societies of heaven,” enumerates the seven chakra‑pools across the continents, balances “the 8 celestial planets,” and concludes with gestation: “I am that I am who formed you in 9 months within your mother’s womb.” In this sequence, number does not appear as an abstract progression but as a schema that saturates space, religion, music, and biology: the digits are anchored in directions, equilibrium points, planetary counts, and bodily cycles, such that “From 1 to 9. / A pattern so divine. / All numbers will bow to the name of number Nine.”[1]

From the standpoint of numerical ontology, the passage constructs 1–9 as a closed structural cosmos rather than an indefinitely extensible series. Each numeral corresponds to a particular “layer” of order: 4 to cardinal orientation, 5 to a quasi‑astronomical–theological architecture, 6 to anthropogenesis (“on the six day. Sneezed and the first man was born. I called you Atom”), 7 to a planetary‑chakra geography, 8 to planetary and musical harmony, and 9 to gestation and personal providence. The narrative dwells here, emphasizing completion and sufficiency: the numeric world culminates at nine months, in a held and beloved child, not at an abstract ordinal limit or an indefinitely continuing successor.[9][1]

This finite model resonates especially with structuralist approaches. The numerals are defined through their relational roles in a coherent pattern that holds together cosmology, theology, and anthropology, rather than through intrinsic properties of “fourness” or “sevenness.” At the same time, the insistence that “All numbers will bow to the name of number Nine” suggests a liturgical or hierarchical re‑ontologizing: nine is not merely the last digit before a new place‑value position, but a quasi‑sovereign name to which “all numbers”—including, implicitly, future ones—are subordinated. The poem thus dramatizes a finite numeric universe that is experientially complete and theologically charged, even while the formal number line remains, offstage, indefinitely extendable.[5][9][1]

4. Zero as apophatic extension

The coda on zero abruptly destabilizes this ordered cosmos by introducing a qualitatively different entity under the guise of a joke. After the triumphant declaration “My son. Today we have learned how to count to 10,” the divine voice turns to self‑regarding affection—“I love myself a whole lot. / A hole lot”—and is then called to account: “What was that you said? / Hole? … Oh that thing behind the one in the number 10. / 1‑0. / That hole. / The void. / The space between then and now.” Zero appears here not as the next countable item after nine but as a “hole,” a “void,” and a temporal chasm, explicitly located “behind the one in the number 10” rather than in the preceding finite sequence.[1]

This framing narratively reconstructs the historical conceptual shock of zero. Historically, cultures accustomed to counting sequences without a numeral for “nothing” often first encountered zero as a placeholder in positional notation, a seemingly empty mark that nonetheless had decisive structural consequences for representing large numbers. The poem mirrors this structural oddity: zero is not discovered while moving from 1 through 9 but only when a new positional configuration, “1‑0,” is written and visually inspected as “that thing behind the one.” The repeated designation of zero as “hole,” “void,” and “space between then and now” underscores its status as a condition or interval rather than as a simple object among objects.[12][13][2][3][1]

Theologically and ontologically, the poem sharpens this difference by having the speaker disown zero’s origin: “I call it a zero. / I don’t know. It sounded cool! / Where does it come from? / Your guess is as good as mine. / It’s a mystery to me because I only made 9 numbers;).” The “I am that I am” who confidently “laid out” foundations, plotted Lagrange points, and formed the child in nine months now confesses ignorance about zero’s source, as though zero belongs to a dimension prior to or beyond creation. For numerical ontology, this implies a bifurcation: 1–9 are created liturgical names within a finite cosmos; zero is an apophatic backdrop, simultaneously necessary for the representation “10” and yet not part of what the creator counts as made.[3][1]

Such a distinction can be read in both structuralist and theological terms. Structurally, zero functions as the empty position that allows place‑value systems to encode absence and scale; the poem translates this into experiential and temporal language—the “space between then and now”—emphasizing how a structural parameter becomes felt as a metaphysical gap. Theologically, the refusal to claim authorship of zero positions it as a kind of negative transcendence: an uncreated condition of possibility for the created numeric order, gestured toward through paradox and wordplay rather than defined. In both registers, zero emerges not as the tenth member of a simple list, but as an apophatic extension of the finite numeric universe from 1 to 9, a structural necessity that resists assimilation to the ontology of counted things.[9][3][5][1]

5. Max Planck, Lagrange points, and informal mathematical imagination

The poem first introduces modern physics through an intimate, tactile image: “Now. Raise your right hand and as you reach out, make a fist. / Can you feel Max Planck’s scales on the fish you have caught there in? / I call him Maximus Prime. / Karl for short. / In Ernst / He is a constant Ludwig splashing around to and fro. You can find him everywhere in the space between all things. / But he is hard to grasp. Isn’t he?” The multiple puns—“Max Planck’s scales,” “Maximus Prime,” “Karl,” “In Ernst,” “constant Ludwig”—braid together the names and concepts of quantum theory and constants into a single playful persona, a fish that is both everywhere and “hard to grasp.” In formal physics, Planck’s constant underpins Planck units and quantization, defining fundamental scales at which classical descriptions break down; the poem translates this technical role into a concrete, embodied metaphor of “scales” on a fish and a ubiquitous but elusive presence “in the space between all things.”[8][6][1]

This imagery exemplifies how non‑specialist imagination appropriates advanced physical ideas through narrative personification and theological framing. Instead of explaining discrete energy levels or natural units, the text asks the child to “feel” a quantum constant as texture in the hand, recasting an abstract parameter as a sacramental object one might catch but never quite hold. The “constant Ludwig” who is “everywhere” yet “hard to grasp” echoes both the spread of a fundamental constant through physical law and the apophatic language later used for zero, suggesting that what is structurally basic in physics readily slides into the register of mystery, presence, and ineffability in lay discourse.[6][7][8][1]

Later in the poem, the focus shifts from microscopic scales to celestial and dynamical equilibria: “I am that I am who plotted the 5 LaGrange points. Where I laid the five pillars that hold up the societies of heaven. The names of which are; Buddhism, Hinduism, Judaism, Christianity, and Islam.” In celestial mechanics, Lagrange points are positions in a three‑body system where gravitational and centrifugal forces balance, creating relative dynamical stability. The poem maps this technical notion of equilibrium onto a religious landscape, treating five Lagrange points as “pillars” upon which major world religions are suspended, thereby reimagining gravitational balance as theological coexistence and structural support.[6][1]

The same passage embeds additional cross‑domain mappings: “I am that I am who holds equilibrium in the balancing of the 8 celestial planets. Bringing harmony to the Greek and Roman Gods. As they dance between the 8 octaves hanging from the ceiling of your mind.” Here, planetary dynamics, mythological pantheons, and musical octaves are fused into a single image of harmony and balance, with “equilibrium” now functioning simultaneously as a dynamical, theological, and aesthetic term. The alignment of “8 celestial planets” with “8 octaves” illustrates a characteristic cognitive strategy: numerical coincidence licenses metaphorical mapping, turning a mere count into a scaffold for linking otherwise disparate domains of experience.[7][1][6]

Philosophically, these passages show that informal mathematical and physical imagination often operates through dense networks of analogy rather than through explicit conceptual analysis. Concepts such as Planck‑scale discreteness, fundamental constants, and Lagrange equilibria, which in formal contexts are expressed in equations and differential systems, are here recast as characters (“Maximus Prime”), locations of religious stability (“pillars” at Lagrange points), and musical or mythic choreographies. This does not simply “misunderstand” the underlying science; rather, it reveals how lay reasoners integrate technical notions into existing symbolic repertoires, where equilibrium becomes a trope of doctrinal balance, constants become quasi‑divine presences, and numerical patterns (5, 8) become hinges binding physics, religion, and art.[8][7][9][1][6]

6. Discussion: Implications for math education and philosophy of mathematics

The imagery of “Riddle of the Ark” suggests several ways that embodied, narrative, and theological metaphors might support informal understanding of zero and positional systems. The poem teaches “Today we shall count to ten” through coordinated gestures—raising hands, forming fists, smashing them together, stretching arms wide—so that counting becomes an enacted ritual rather than a purely verbal exercise. When zero finally appears as “that thing behind the one in the number 10… That hole. / The void. / The space between then and now,” learners are invited to notice its positional role visually and spatially, as a “hole” that changes the value of the “1” without being “one more thing” in the previous list. This dramatization aligns with historical accounts in which zero first functions as a placeholder within positional notation and only gradually becomes accepted as a number in its own right; pedagogically, the poem models how that structural role can be felt through metaphor before it is defined formally.[12][3][1]

The text also offers resources for teaching ideas of symmetry, equilibrium, and constants through cross‑domain metaphors. The “constant Ludwig” who is “everywhere in the space between all things” presents the notion of a universal physical constant as a character whose presence is pervasive yet elusive, making an otherwise abstract idea experientially vivid. Likewise, the divine plotting of “the 5 LaGrange points” as “five pillars that hold up the societies of heaven” and the balancing of “the 8 celestial planets” with “8 octaves hanging from the ceiling of your mind” translate dynamical stability and harmonic structure into religious and musical images. For educators interested in embodied or narrative approaches, such mappings suggest that advanced concepts—equilibrium points, planetary counts, quantization—can be introduced as stories of balance, pillars, and music, which can then be gradually connected to formal definitions.[7][8][1][6]

Philosophically, the poem raises pointed questions about numerical ontology and the status of mathematical entities in informal cognition. On one hand, the repeated “I am that I am who laid out…” formula treats numbers, directions, planets, and Lagrange points as created features of a designed cosmos, suggesting a quasi‑fictionalist stance in which mathematical structures are narrated into being by a divine speaker. On the other hand, the insistence that “From 1 to 9. / A pattern so divine” and that equilibrium and harmony are “held” rather than invented resonates with structuralist language: numbers and configurations appear as positions within a pre‑given pattern that the creator discloses and names. The apophatic treatment of zero complicates this further: by claiming “I only made 9 numbers,” the speaker implies that zero lies outside the created order, more like a transcendental condition than a creature, which echoes philosophical puzzles about whether zero (or the empty set) should be treated as an object on par with other numbers.[10][4][3][5][9][1]

These tensions invite more general reflection on how lay reasoners navigate between Platonist, structuralist, and fictionalist conceptions without adopting any of them explicitly. The poem’s theological idiom allows numerical entities to be at once named, celebrated, and playfully questioned: numbers are liturgical names, cosmological building blocks, and narrative devices for expressing love, presence, and mystery. Rather than simply misrepresenting mathematical ontology, “Riddle of the Ark” demonstrates how ordinary language and religious imagination can host multiple, partially incompatible stances at once, oscillating between discovery and creation, pattern and story, object and nothingness. For philosophy of mathematics, such texts underscore the importance of attending not only to formal theories but also to lived numerical practices and images, where the ontology of number is continually negotiated in metaphor, ritual, and play.[4][10][9][1][7]

7. Conclusion

“Riddle of the Ark” presents counting not as a neutral progression of numerals but as a dramatized passage through a finite, theologically charged cosmos from 1 to 9. In this cosmos, each digit is anchored in a web of meanings—directions, religious “pillars,” planetary harmony, musical octaves, gestation—so that “From 1 to 9. / A pattern so divine” names a closed, experientially complete numeric universe rather than the first segment of an abstract infinite sequence. Read against structuralist and historical perspectives, this universe exemplifies how everyday numerical imagination treats numbers as positions in a meaningful pattern, even as the repeated “I am that I am who laid out…” formula casts them as created and liturgically named entities.[5][9][1]

Zero enters only after this nine‑fold cosmos has been established, and it does so sideways, through wordplay that turns “a whole lot” into “a hole lot” and finally into “that thing behind the one in the number 10… That hole. / The void. / The space between then and now.” The creator’s disavowal—“It’s a mystery to me because I only made 9 numbers”—marks zero as structurally indispensable yet ontologically other, more like an uncreated condition of possibility than a further element in the created numeric order. This poetic move recapitulates historical and philosophical tensions around zero: its emergence as a positional placeholder, its eventual acceptance as a number, and ongoing questions about how “nothing” can be counted.[13][2][3][9][1]

The poem’s playful incorporation of “Max Planck’s scales,” “constant Ludwig,” Lagrange points, planets, and octaves shows how advanced mathematical and physical ideas are appropriated through embodied, theological, and aesthetic metaphors. Constants become elusive fish felt in the hand, equilibrium points become pillars of world religions, and planetary counts resonate with musical structure, illustrating how lay cognition weaves formal structures into a symbolic fabric of balance, harmony, and worship. For mathematics education, such images suggest that narrative and ritual can scaffold understanding of zero, positional notation, symmetry, and invariants before learners meet formal definitions. For philosophy of mathematics, “Riddle of the Ark” reveals an informal numerical ontology that oscillates between discovery and creation, structure and story, object and void, offering a compact case of how mathematics is lived and imagined beyond the page of proof.[3][8][9][12][1][6][7]

8. Future work

Several avenues for further research emerge from this reading.[1]

– Comparative corpus study.

A larger corpus of contemporary religious and literary texts that personify numbers or reference zero, constants, or equilibrium could be assembled to test whether the patterns identified here—finite 1–9 universes, apophatic zero, personified constants—recur systematically across genres and traditions.[9][7]

– Empirical studies in math education.

Classroom interventions using “Riddle of the Ark” or analogous narratives could investigate whether embodied and theological metaphors for zero and positional notation measurably affect learners’ conceptual grasp, particularly in contexts where zero’s dual role as placeholder and number is a known difficulty.[12][3]

– Cognitive‑philosophical analysis of numerical ontology.

Interviews or think‑aloud protocols with readers encountering the poem for the first time could be used to map how they describe the “reality” of numbers and zero, testing whether their spontaneous ontological commitments align with, or cut across, standard philosophical categories such as Platonism, structuralism, and fictionalism.[10][4][9]

– Theological models of mathematical structures.

The poem’s portrayal of numbers and constants as created and yet mysteriously “beyond” creation could be developed into more systematic theological models of mathematical objects, exploring, for instance, analogies between zero and negative theology or between structural invariants and doctrines of providence.[3][7][1]

– Extensions to other mathematical domains.

Similar analyses might be applied to literary or religious treatments of infinity, irrational numbers, or probability, to see whether the pattern of finite cosmos plus apophatic “beyond”—here instantiated by 1–9 and zero—extends to other areas of informal mathematical imagination.[7][9]

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Crump, T. (1990). *The anthropology of numbers.* Cambridge University Press.[7]

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Rédei, M. (2012). On Planck’s constant and the foundations of quantum theory. In R. Batterman (Ed.), *The Oxford handbook of philosophy of physics* (pp. 153–177). Oxford University Press.[8][6]

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Zhang, S. (2017, February 2). The invention of zero: How ancient Mesopotamia created the mathematical concept that shaped the modern world. *The Marginalian.* https://www.themarginalian.org/2017/02/02/zero-robert-kaplan/%5B7%5D

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