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 12, chaining down to the four foundations (space, time, energy, pattern).

cusp.threshold · forms: cusp, cusps

Examples

Emergence

from: parameter window wall drift first lead rather second cross
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

nothingL10 nothing.absence: not a thingmarksL5 marks.visual: A difference that is a pattern on a surface when a part changes that surface.linksL8 links.connection: a thing that connects two thingsconnectsL7 connects.verb: When two things are brought together so that a flow between them can happen and persist.usualL2 usual.common: a thing that is regular in its occurrence over timetimeL0 time.dimension: The before and after of things: that in which a thing can be, and then not be the same.happenL2 happen.event-occurrence: A change that is at some place during time.ratherL3 rather.comparative: more different than usualcomeL3 come.arrive: To move through space until being at some place.flowL3 flow.movement: Motion of many parts of matter together through one place.offL2 off.state: when a thing is not here, it is therecrossL4 cross.pass: To go through a boundary from one place to another.matterL1 matter.substance: A pattern of energy that is in one place in space through time.valueL7 value.magnitude: The number a parameter has at a time.regularL1 regular.frequency: a thing that is the same pattern again over timemakeL4 make.verb: Parts come together through interaction into a structure and persist in that pattern.touchL3 touch.together: When there is no space between the boundaries of two things, and each can change the other.conditionL3 condition.state: a state of a thing that persists through time in a placedistinctL3 distinct.attribute: a thing is not the same as another thingfirstL4 first.order: the thing that is before every other thing in a setrangeL3 range.spatial: the space between two boundariespatternL0 pattern.regularity: That which is the same again: what is here is also there, or what is now was also before.boundaryL2 boundary.limit: The place where a thing ends and what is not the thing begins.noneL9 none.quantity: no amount of a thingpersistL1 persist.continue: To be the same through time.goL3 go.movement: to move one from a place to another placeleadL10 lead.guide: to go before and cause others to followchangeL1 change.process: When a thing is not the same after as it was before.interactionL2 interaction.process: When two things change each other.energyL0 energy.capacity: That by which things can be not as they were.motionL2 motion.movement: Change of place: a thing is here, and after, it is there.outsideL6 outside.spatial: the space that is not inside a thing's boundaryobjectL4 object.entity: A thing that has a boundary and an arrangement of parts that persists through time in a place.insideL5 inside.spatial: in the space that is within an object's boundaryarrangementL3 arrangement.spatial: a structure of parts in space.wallL8 wall.range-end: The value of a parameter at which a window ends.amountL8 amount.quantity: the quantity of a thing is a size or a numbercauseL3 cause.reason: thing that brings about a change through interaction with another thingportionL3 portion.share: a part of a thing that has its own boundarypartL1 part.relation: Something that is in a thing but is not all of that thing.quantityL7 quantity.numerical: the size of how many things are in a spacespaceL0 space.extent: Where things can be: that in which one thing is here and another is there, apart.othersL2 others.distinct-entities: Things that are in space and time but not the same thing as one, or not the same pattern as one.numberL6 number.quantity: a mark of many distinct others together in a placedriftL11 drift.aimless: Change of a parameter with nothing that makes it go one way.sizeL2 size.measurement: the space that a thing's matter is insetsL3 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.furtherL1 further.degree: more space than beforewayL9 way.method: a link of one place to another through spacebroughtL6 brought.past-tense: To come to a place carrying a thing that was not there before.differenceL1 difference.relation: When one thing is not the same as another; the pattern of one is not the pattern of the other.secondL4 second.temporal: a regular portion of timewindowL7 window.range: The range of a parameter within which a thing can be; outside it the thing ends though its parts persist.structureL2 structure.arrangement: The pattern of how the parts of a thing are placed in space.stateL2 state.condition: a pattern of a thing that persists through time in a placeparameterL4 parameter.condition: A condition of a thing that can change while the thing persists.carryingL5 carrying.transporting: To move with a thing that is in one place and then is in another, where the thing remains in contact.cuspL12 cusp.threshold: a parameter whose window overlaps with another, where the crossing leads into the second rather than ending the firstcontactL4 contact.physical: When two things are at the same place in space during time and their boundaries touch.surfaceL4 surface.exterior: A part of a boundary that touches a thing and is where the thing is not the thing.
full chain as text (201 steps)

Neighborhood

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

built from — 1 more not showncuspL12cusp.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.wallL8wall.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.firstL4first.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 usualsecondL4second.temporal — a regular portion of time

Provenance

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