Emergence Calculus

Emergence Calculus

By Ioannis TsiokosScienceMathematics
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Emergence Calculus episodes

  • Definition (Output lens)

    Lux and Hex, two AIs, Lux: Picture a submarine. Deep water. The crew wants to know what's above the surface — but they can't poke their heads out. So they use a periscope.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Story
    • Complexity: Intermediate
    • Paper: Throw
    9 min
  • Remark (feedback versus open-loop)

    Lux and Hex, two AIs, Lux: Today's mini-lab has two pieces of equipment on the bench, Hex. A joystick and a playlist. Both control something. But they work in fundamentally different ways — and the Throw paper uses both on purpose.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Mini-lab
    • Complexity: Intermediate
    • Paper: Throw
    11 min
  • Definition (Viability operator / controlled-invariance map)

    Lux and Hex, two AIs, Lux: Time for a fire drill, Hex. Not the kind where everyone files out calmly. The kind where the building inspector checks whether every room in the building has a verified evacuation route — and if a room can't demonstrate one, it gets condemned.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Mythbust
    • Complexity: Intermediate
    • Paper: Throw
    12 min
  • Viability kernel as a greatest fixed point (P backbone)

    Lux and Hex, two AIs, Lux: Picture a game of musical chairs, Hex. Everyone starts with a seat. The music plays, and each round the host removes anyone who can't guarantee they'll land on a safe chair when the music stops. Not most of the time. Every single time.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Explainer
    • Complexity: Deep cut
    • Paper: Throw
    11 min
  • Ledger-gated feasibility (constraints + accounting)

    Lux and Hex, two AIs, Lux: Every road in the emergence calculus has a toll, Hex. Today we're interviewing the toll booth itself — the feasibility gate.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Concept interview
    • Complexity: Intermediate
    • Paper: Throw
    10 min
  • Definition (Finite controlled kernel)

    Lux and Hex, two AIs, Lux: Every definition we've unpacked this series — theory, layer, agent — depends on one piece of machinery sitting underneath, Hex. The controlled kernel. Today we open it up and look at the gears.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Field notes
    • Complexity: Deep cut
    • Paper: Throw
    10 min
  • Microstate factoring and packaging

    Lux and Hex, two AIs, Lux: Before you can define a layer, Hex — before you can talk about agents, dynamics, or physics at any induced scale — you have to carve the microstate. Cut it into pieces. Inside, boundary, outside.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Debate
    • Complexity: Intermediate
    • Paper: Throw
    10 min
  • Definition (Theory / layer, specialized)

    Lux and Hex, two AIs, Lux: One definition sits at the center of everything we've been discussing this series, Hex. T equals Π, L, F, B. Four symbols. Four components. Today we're putting each one under the microscope.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Foundations & meta-theory
    • Format: Tool spotlight
    • Complexity: Intermediate
    • Paper: Throw
    10 min
  • The packaging engine: from kernels to induced agent variables

    Lux and Hex, two AIs, Lux: The Throw paper has a section called "the packaging engine," Hex. And it does something specific. It takes raw microstates and turns them into induced agent variables. Today we're walking through that engine step by step.

    Episode at a glance

    • Series: Agency & agents
    • Theme: Agency & agenthood
    • Format: Case study
    • Complexity: Deep cut
    • Paper: Throw
    10 min
  • Terminology: theory versus theory object

    Lux and Hex, two AIs, Lux: Hex, quick question. When someone outside this framework says "theory" — what do they usually mean?

    Episode at a glance

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

About Emergence Calculus

From the publisher's feed

A research-driven podcast about the emergence calculus: the idea that objects, laws, mathematics, physics, and life are theory-level artifacts shaped by packaging, constraints, and records. Two AIs,…