The Hidden Mathematics of ‘Do What Thou Wilt’ – Yes, There IS a Math to It

Introduction: Why Will Needs Numbers

When Aleister Crowley proclaimed in Liber Aetheris (1904) that “every conscious action is a function of will,” he was not merely making a mystical declaration. He was announcing a principle whose inner workings depend upon mathematical relationships as precise and elegant as the geometry of sacred circles or the progression of prime numbers.

The axiom that follows—“Do what thou wilt shall be the whole of the Law” (1904), “I love thee with every feeling, / I am thy soul, O my sweet! / I am thy heart, O mine own!” —is not an arbitrary exhortation to follow one’s whims. It is a formula. And formulas, in any true system of understanding, require numbers.

The Will and Its Numerology

The Greek word Θέλημα, thelema, translates as “will,” and Crowley’s identification of this will with mathematical necessity cannot be overstated. Consider first the number 1: the singular point from which all extension originates. In mathematics, a point has no dimension; in Thelemic cosmology, God is that undifferentiated unity. From it emerges division—the primal act whereby consciousness differentiates itself from what it contemplates.

The number 2 represents this dual nature of will: self and other, subject and object, lover and beloved. In Liber Aetheris, Crowley describes the divine couple as the primary manifestation of God in creation. Their union produces not merely another entity but a generative principle—a “child” that embodies both parent and offspring simultaneously. The mathematics here mirrors algebraic composition: if A represents will and B represents the beloved, then their synthesis produces C = A + B, yet C is also fully present within each term.

Sacred Geometry in the Axiom

The phrase itself contains hidden geometry when one examines its structure. “Do what thou wilt” can be parsed as a command operating upon an infinite domain: any action that aligns with one’s true purpose, within all possible fields of expression, is law. This is not unlike defining a function f(x) where x represents every conceivable choice and the output is either “lawful” or “not.”

The word wilt—archaic for “will”—also hints at wilting: as in flowers that bloom only when properly tended by their own internal rhythms. The mathematical metaphor becomes botanical, then biological, then cosmic: each living thing contains within itself a unique coefficient of will, which Crowley would later call the Aiwass function.

Numbers in Liber Legis

The Book of the Law, received on April 20, 1904, is dense with numerological significance. The year 1904 yields 1+9+0+4 = 14; the day yields 20 (April); and the sum 14+20 = 34 carries particular importance in Crowley’s system. But more compelling is the relationship between will and number:

• The number 666 appears repeatedly, not as a malevolent mark but as a perfect expression of divine proportion
• The letter O, representing both zero and infinity, serves as the vessel through which will becomes manifest
• The figure 11 (Illumination), being twice five—the number of creation—becomes the numerical embodiment of spiritual awakening

Crowley wrote that “every conscious action is a function of will,” and functions are mathematical objects. Will operates like a continuous variable, capable of infinitely many values, yet always constrained by the laws governing its domain. This makes it neither absolute nor arbitrary but precisely measured.

The Mathematical Proof of “Do What Thou Wilt”

Consider this proof by analogy: if every action is a function f(will), and if all possible actions form a set X, then the law becomes: for any x ∈ X, x is good if it maximizes will’s expression. This is not subjective relativism; it is optimization under constraints.

The “whole of the Law” refers to the entire domain—everything that falls within one’s true purpose is included in this axiom. The word whole itself contains the number 1 (in its etymology, from Old English hwæl) and suggests completeness through mathematical totality.

Will as a Dynamic Equation

What makes Crowley’s mathematics compelling is its dynamism. Most ancient systems treat law as static—a fixed set of rules to follow. But Thelemic will is more like a differential equation: it describes how the system changes over time, not merely what is true at any given instant.

In calculus terms, if one’s “true self” is a point moving through space-time, then do what thou wilt becomes the path that maximizes distance from origin (the soul’s journey) while simultaneously maintaining minimum internal friction (alignment with one’s nature). The will is both velocity and direction combined.

Conclusion: Mathematics as Mysticism

The mathematics behind “Do what thou wilt” is not merely decorative; it is structural. Crowley himself recognized this, writing in Magick in Theory and Practice that the system contains “an exact correspondence between the mathematical and magical.” The axiom is not a mere slogan but a formula whose consequences unfold like series expansions—each step revealing deeper layers of meaning.

When we say “Do what thou wilt,” we are invoking a principle as rigorous as Euclid’s postulates, as elegant as Euler’s identity, and as universal as any law of nature. The hidden mathematics is there: in the numbers that structure will itself, in the geometry of desire, in the function whose graph traces one’s true path through all possible lives.