Expectation as Complex
In the reality equation,
expectation is complex:
with P as the predictor (real component) and C as ideation (imaginary component). To quantify expectation we take its modulus:
This folds predictor and ideation into one denominator, grounding reality in both what is forecast and what is imagined.
Ideas as Prejudice
Every idea is prejudice. Fairness is anti-hierarchy. Hierarchy is anti-fairness. Blue will never be red or green.
On the unit circle, each idea stands at its own coordinate. Fairness spans a diameter: justice at 80° and injustice at 260°. To fairness, both poles belong. Fairness itself is indifferent. Justice or injustice, the circle still embodies fairness.
This is the first sense of bias: ideas define themselves by excluding their opposites. Their prejudice is categorical, absolute.
The Actualizer’s Bias
A different bias belongs to the actualizer at the circle’s center. The actualizer may hold perfect openness—relating to all ideas equally. In that case, the vectors cancel and
But when the actualizer refuses relation—cohering with justice (80°) but not injustice (260°)—cancellation breaks. A resultant vector emerges, its length showing the degree of preference. On a unit circle, it may be one; with clustering arrows, it could be 5.2 or more.
A large C in expectation always signals actualizer bias.
Two Registers of Bias
To think clearly, students must separate the registers:
- Idea’s Bias: every idea is prejudice against its rivals. Fairness against hierarchy. Blue against green. This is structural.
- Actualizer’s Bias: the chooser prefers one pole over another—pastel blue over neon blue, justice over injustice. This is selective.
Ideas exclude categorically. Actualizers exclude selectively.
Implications
When expectation’s denominator swells with a strong imaginary component, it is not because ideas are biased—they always are. It is because the actualizer is biased.
Ideas remain diameters, indifferent to their endpoints. The actualizer tilts the balance.
Bias, then, is a double truth: the prejudice of ideas and the preference of actualizers. Keeping these apart is what allows theology and philosophy to use the mathematics of expectation without collapsing its categories.