The Emergence Machine

cusp · threshold

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a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the first

Cusp (noun) means: a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the first. It emerges from parameter, window, wall, drift: The drift of a parameter toward a wall of its window coincides with the opening of an adjacent window, and the crossing of the boundary leads into the second state rather than terminating the first. In the EmergenceLexicon it sits at computed level 18, chaining down to the four foundations (space, time, energy, pattern).

cusp.threshold · forms: cusp, cusps

Examples

Emergence

from: parameter window wall drift cross first lead rather second
through: The drift of a parameter toward a wall of its window coincides with the opening of an adjacent window, and the crossing of the boundary leads into the second state rather than terminating the first.

Chain to foundations

touchL3 touch.together: When there is no space between the boundaries of two things, and each can change the other.energyL0 energy.capacity: That by which things can be not as they were.driftL11 drift.aimless: Change of a parameter with nothing that makes it go one way.contactL4 contact.physical: When two things are at the same place in space during time and their boundaries touch.boundaryL2 boundary.limit: The place where a thing ends and what is not the thing begins.windowL7 window.range: The range of a parameter within which a thing can be; outside it the thing ends though its parts persist.parameterL4 parameter.condition: A condition of a thing that can change while the thing persists.firstL4 first.order: the thing that is before every other thing in a setflowL3 flow.movement: Motion of many parts of matter together through one place.setsL3 sets.grouped: A pattern of many things that are each different from the others but are bounded together by what is the same about them.arrangementL3 arrangement.spatial: a structure of parts in space.causeL3 cause.reason: thing that brings about a change through interaction with another thingdifferenceL1 difference.relation: When one thing is not the same as another; the pattern of one is not the pattern of the other.persistL1 persist.continue: To be the same through time.usualL2 usual.common: a thing that is regular in its occurrence over timemotionL2 motion.movement: Change of place: a thing is here, and after, it is there.structureL2 structure.arrangement: The pattern of how the parts of a thing are placed in space.connectsL7 connects.verb: When two things are brought together so that a flow between them can happen and persist.linksL8 links.connection: a thing that connects two thingsbroughtL6 brought.past-tense: To come to a place carrying a thing that was not there before.lineL16 line.geometric: a set of points with regular arrangement in spaceamountL8 amount.quantity: the quantity of a thing is a size or a numbersurfaceL4 surface.exterior: A part of a boundary that touches a thing and is where the thing is not the thing.goL3 go.movement: to move one from a place to another placenothingL10 nothing.absence: not a thingsizeL2 size.measurement: the space that a thing's matter is inwayL9 way.method: a link of one place to another through spacechangeL1 change.process: When a thing is not the same after as it was before.furtherL1 further.degree: more space than beforemarksL5 marks.visual: A difference that is a pattern on a surface when a part changes that surface.outsideL6 outside.spatial: the space that is not inside a thing's boundaryhappenL2 happen.event-occurrence: A change that is at some place during time.stateL2 state.condition: a pattern of a thing that persists through time in a placeportionL3 portion.share: a part of a thing that has its own boundaryregularL1 regular.frequency: a thing that is the same pattern again over timepartL1 part.relation: Something that is in a thing but is not all of that thing.interactionL2 interaction.process: When two things change each other.insideL5 inside.spatial: in the space that is within an object's boundarycontrolL4 control.ability: A pattern that persists through time and sets boundaries for how others can change.leadL10 lead.guide: to go before and cause others to followcomeL3 come.arrive: To move through space until being at some place.patternL0 pattern.regularity: That which is the same again: what is here is also there, or what is now was also before.wallL14 wall.range-end: The value of a parameter at which a window ends.noneL9 none.quantity: no amount of a thingsecondL4 second.temporal: a regular portion of timequantityL7 quantity.numerical: the size of how many things are in a spacecuspL18 cusp.threshold: a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the firstconditionL3 condition.state: a state of a thing that persists through time in a placeobjectL4 object.entity: A thing that has a boundary and an arrangement of parts that persists through time in a place.offL2 off.state: when a thing is not here, it is therespaceL0 space.extent: Where things can be: that in which one thing is here and another is there, apart.timeL0 time.dimension: The before and after of things: that in which a thing can be, and then not be the same.pointsL2 points.location: a part that is at a placedistinctL3 distinct.attribute: a thing is not the same as another thingcarryingL5 carrying.transporting: To move with a thing that is in one place and then is in another, where the thing remains in contact and under control.rangeL3 range.spatial: the space between two boundariescrossL17 cross.symbol: a shape made by two lines that touch togethernumberL6 number.quantity: a mark of many distinct others together in a placeothersL2 others.distinct-entities: Things that are in space and time but not the same thing as one, or not the same pattern as one.ratherL3 rather.comparative: more different than usualmakeL4 make.verb: Parts come together through interaction into a structure and persist in that pattern.matterL1 matter.substance: A pattern of energy that is in one place in space through time.
full chain as text (211 steps)

Neighborhood

Concepts that depend on this one above; what it is built from below.

built from — 1 more not showncuspL18cusp.threshold — a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the firstparameterL4parameter.condition — A condition of a thing that can change while the thing persists.windowL7window.range — The range of a parameter within which a thing can be; outside it the thing ends though its parts persist.wallL14wall.range-end — The value of a parameter at which a window ends.driftL11drift.aimless — Change of a parameter with nothing that makes it go one way.crossL17cross.symbol — a shape made by two lines that touch togetherfirstL4first.order — the thing that is before every other thing in a setleadL10lead.guide — to go before and cause others to followratherL3rather.comparative — more different than usual

Provenance

author: retrofit:qwen/qwen3-235b-a22b-2507 · date: 2026-07-29 · confidence: 0.8 · source: Sample/we-already-had-the-words.md