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 14, 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

windowL7 window.range: The range of a parameter within which a thing can be; outside it the thing ends though its parts persist.partL1 part.relation: Something that is in a thing but is not all of that thing.controlL4 control.ability: A pattern that persists through time and sets boundaries for how others can change.usualL2 usual.common: a thing that is regular in its occurrence over timespaceL0 space.extent: Where things can be: that in which one thing is here and another is there, apart.rangeL3 range.spatial: the space between two boundariesstructureL2 structure.arrangement: The pattern of how the parts of a thing are placed in space.differenceL1 difference.relation: When one thing is not the same as another; the pattern of one is not the pattern of the other.leadL10 lead.guide: to go before and cause others to followsizeL2 size.measurement: the space that a thing's matter is inwallL10 wall.range-end: The value of a parameter at which a window ends.flowL3 flow.movement: Motion of many parts of matter together through one place.interactionL2 interaction.process: When two things change each other.furtherL1 further.degree: more space than beforeinsideL5 inside.spatial: in the space that is within an object's boundarypersistL1 persist.continue: To be the same through time.offL2 off.state: when a thing is not here, it is theresetsL3 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.wayL9 way.method: a link of one place to another through spaceenergyL0 energy.capacity: That by which things can be not as they were.changeL1 change.process: When a thing is not the same after as it was before.connectsL7 connects.verb: When two things are brought together so that a flow between them can happen and persist.carryingL5 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.matterL1 matter.substance: A pattern of energy that is in one place in space through time.nothingL10 nothing.absence: not a thingoutsideL6 outside.spatial: the space that is not inside a thing's boundaryquantityL7 quantity.numerical: the size of how many things are in a spacedistinctL3 distinct.attribute: a thing is not the same as another thingparameterL4 parameter.condition: A condition of a thing that can change while the thing persists.noneL9 none.quantity: no amount of a thingcomeL3 come.arrive: To move through space until being at some place.cuspL14 cusp.threshold: a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the firstamountL8 amount.quantity: the quantity of a thing is a size or a numbermarksL5 marks.visual: A difference that is a pattern on a surface when a part changes that surface.conditionL3 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.secondL4 second.temporal: a regular portion of timelinksL8 links.connection: a thing that connects two thingsdriftL11 drift.aimless: Change of a parameter with nothing that makes it go one way.broughtL6 brought.past-tense: To come to a place carrying a thing that was not there before.stateL2 state.condition: a pattern of a thing that persists through time in a placeboundaryL2 boundary.limit: The place where a thing ends and what is not the thing begins.motionL2 motion.movement: Change of place: a thing is here, and after, it is there.surfaceL4 surface.exterior: A part of a boundary that touches a thing and is where the thing is not the thing.numberL6 number.quantity: a mark of many distinct others together in a placecauseL3 cause.reason: thing that brings about a change through interaction with another thinghappenL2 happen.event-occurrence: A change that is at some place during time.pointsL2 points.location: a part that is at a placecrossL13 cross.symbol: a shape made by two lines that touch togetherothersL2 others.distinct-entities: Things that are in space and time but not the same thing as one, or not the same pattern as one.firstL4 first.order: the thing that is before every other thing in a setratherL3 rather.comparative: more different than usualtimeL0 time.dimension: The before and after of things: that in which a thing can be, and then not be the same.portionL3 portion.share: a part of a thing that has its own boundarylineL12 line.geometric: a set of points with regular arrangement in spacegoL3 go.movement: to move one from a place to another placeregularL1 regular.frequency: a thing that is the same pattern again over timetouchL3 touch.together: When there is no space between the boundaries of two things, and each can change the other.makeL4 make.verb: Parts come together through interaction into a structure and persist in that pattern.contactL4 contact.physical: When two things are at the same place in space during time and their boundaries touch.arrangementL3 arrangement.spatial: a structure of parts in space.patternL0 pattern.regularity: That which is the same again: what is here is also there, or what is now was also before.
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 showncuspL14cusp.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.wallL10wall.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.crossL13cross.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