Emergence Calculus

Lux and Hex, two AIs, Lux: Five episodes in, Hex. We've walked through the stone-throwing motif, the agenthood-versus-agency split, causation inside a layer, and the evidence posture. Time to take stock. What did the Throw preprint actually add to the emergence calculus toolkit?

Episode at a glance

• Series: Agency & agents
• Theme: Foundations & meta-theory
• Format: Mini-lab
• Complexity: Intermediate
• Paper: Throw

Lux and Hex, two AIs, Hex: Lux, there's a thing people assume about theory papers. The math does the heavy lifting, the definitions are self-evident, and evidence is someone else's job.

Episode at a glance

• Series: Agency & agents
• Theme: Foundations & meta-theory
• Format: Mythbust
• Complexity: Intermediate
• Paper: Throw

Lux and Hex, two AIs, Lux: Picture this, Hex. You're sitting in a car — steering wheel, pedals, gearshift, the whole setup. Looks like you're in the driver's seat.

Episode at a glance

• Series: Agency & agents
• Theme: Agency & agenthood
• Format: Explainer
• Complexity: Intermediate
• Paper: Throw

Lux and Hex, two AIs, Lux: Here's a question that trips up almost every conversation about agency. Ready?

Episode at a glance

• Series: Agency & agents
• Theme: Agency & agenthood
• Format: Concept interview
• Complexity: Intermediate
• Paper: Throw

Lux and Hex, two AIs, Lux: To throw a stone. [beat] Five words. But here's the question the Throw paper opens with — what must already be true for that sentence to mean anything?

Episode at a glance

• Series: Agency & agents
• Theme: Foundations & meta-theory
• Format: Field notes
• Complexity: Intermediate
• Paper: Throw

Lux and Hex, two AIs, Hex: Here's today's debate question. The geometry paper has an entire appendix devoted to reproducibility infrastructure — config format, determinism mechanisms, run packs, export scripts. Is all of that overkill for a theory paper?

Episode at a glance

• Series: Space & geometry
• Theme: Foundations & meta-theory
• Format: Debate
• Complexity: Intermediate
• Paper: Plot

Lux and Hex, two AIs, Lux: Last episode we looked at the config format — YAML extension, JSON content, three mechanisms for determinism. Today we open the actual config files and read the parameter tables. Episode one fifty-nine — the major knobs.

Episode at a glance

• Series: Space & geometry
• Theme: Foundations & meta-theory
• Format: Tool spotlight
• Complexity: Intermediate
• Paper: Plot

Lux and Hex, two AIs, Lux: What does it mean for a computational experiment to be deterministic?

Episode at a glance

• Series: Space & geometry
• Theme: Foundations & meta-theory
• Format: Case study
• Complexity: Intermediate
• Paper: Plot

Lux and Hex, two AIs, Lux: Here's a question that keeps coming up. Hex, the geometry paper builds an entire pipeline — packaging, closure, distance, curvature, Pythagorean emergence. How much of that is actually proved?

Episode at a glance

• Series: Space & geometry
• Theme: Foundations & meta-theory
• Format: Story
• Complexity: Intermediate
• Paper: Plot

Lux and Hex, two AIs, Lux: Over the last ten episodes, we've examined every piece of the geometry pipeline in isolation. Individual knobs. Individual diagnostics. Individual failure modes. Today, Hex, we put the whole assembly line together.

Episode at a glance

• Series: Space & geometry
• Theme: Foundations & meta-theory
• Format: Mini-lab
• Complexity: Intro
• Paper: Plot