Phase | Symbol | Calculus | Role (Nietzsche lens) | What goes wrong when you forget it |
---|---|---|---|---|
Background | θ′ | (x, y) | Truth-as-appearance, milieu, affordances — the scene she sets | You treat the living backdrop as “noise,” losing context and subtle cues |
Method | θ | y(x) + ε | Courtship/modeling — disciplined approach with explicit epsilon | Premature certainty: pretending ε→0 flattens play into dogma-in-waiting |
Results | Σ | dy/dx | Compressed outcomes — propositions, “findings,” publishables | You mistake gradients for the thing itself; maps start bossing the territory |
Dogma | h(t) | d²y/dx² | Curvature of results — self-reinforcing orthodoxy, discipleship | Feedback amplifies hidden ε into instability; systems ossify then crack |
Ledger | ΔS | ∫ y dx | Revaluation/Style — the artist-scoffer integrates the whole loop | If skipped, collapse yields cynicism; if embraced, entropy becomes meaning |
Flow: θ′ (Background / appearance) → θ (Method: y(x)+ε) → Σ (Results: dy/dx) → h(t) (Dogma: d²y/dx²) → ΔS (Ledger: ∫y dx) ↺ reopens variance.
Short punchline: philosophers erred by starting at θ and acting like θ′ didn’t matter. Nietzsche drags them back to the background where truth still breathes, then insists the loop end in ΔS, where failure is metabolized into new style rather than embalmed as creed.