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ck-demo

Load the worked C-K example — the hydrofoil hull-speed session — into the current project and walk the user through the moment the reasoning breaks open.

Web & Frontend Listed

ck-conjoin

Apply the C→K operator - test whether a concept has acquired logical status and can be promoted into knowledge, closing a branch of a C-K session. Use when a leaf looks achievable or refuted, when the user asks whether a branch is done, or when they click "test status" on the canvas.

ck-defix

Adversarial anti-fixation pass over a C-K tree - detect where the design reasoning has collapsed onto obvious answers and force alternative partitions. Use when the expansive ratio is low, a branch has no expansive step, the tree looks like a list of existing products, or the user feels stuck or wants to be pushed.

ck-expand

Apply the C→C operator - partition a concept node into child concepts, labelled restrictive or expansive. Use when a C-K session has an open node that needs children, when the user asks to explore or branch a concept, or clicks "partition" on the canvas.

ck-facilitate

Run a hard design problem end to end as the facilitator rather than the teacher. Use when someone is stuck on a product, service, process, policy, business model, or organisation design, keeps arriving at the same obvious answer, wants options nobody has thought of yet, or asks to brainstorm, rethink, reinvent, or find a fresh angle — including, especially, when they have never heard of C-K theory and should never have to.

ck-frame

State the root concept of a C-K session and gate it against the undecidability test. Use when starting a design exploration, when the user describes a problem or goal to work on, or when an existing concept needs reformulating because it reads as a requirement rather than a concept.

ck-learn

Apply the K→K operator - expand the knowledge space around a blocked branch of a C-K session, then feed what you learn back as K→C. Use when a concept branch is stuck for lack of knowledge, when K is empty or thin, or when the user clicks "expand K" on the canvas.

Web & Frontend Listed

ck-map

Render a C-K session to the browser canvas and report its state - tree, knowledge base, fixation metrics, and what to do next. Use when the user wants to see the session, asks where things stand, wants a summary or handoff document, or the canvas has gone stale.

ck

Start, resume, or steer a C-K (Concept-Knowledge) design session. Use when the user wants to explore a design problem systematically, work on an innovative design question, break out of an obvious solution, or mentions C-K theory, concept space, knowledge space, expansive partition, or fixation.