Absence
Definition. A condition where no return is readable. It stands in contrast to presence. Includes the symmetric limit and the over-limit where contrast overruns closure.
Usage. Record absence when neither direction can licence a return.
Omnisyndetic Glossary
Terms and phrases used across the Omnisyndetic Framework — structural, relational, exact.
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Amalgamation
Definition. Licensed union of pairwise compatible returned structures that preserves prior returns.
Usage. Use to grow a larger validated frame without breaking existing closures.
Angular deviation
Definition. A mode of relation that classifies orientation around the circuit. Together with radial deviation it defines asymmetry and resolved contrast, and it classifies returned individuation of the structure.
Usage. Use with radial deviation to name how a read turns versus how it departs from the hinge.
Anti
Definition. An opposed directed return against a stated read within the same frame and scope.
Usage. Use Anti when a witnessed return stands in the contrary orientation to the target read.
Arc
Definition. A continuous, oriented run of admissible contrast within the frame. It contributes to a readable return inside the coherence window.
Usage. Track orientation and approach to stability.
Arc tier
Definition. A classification threshold keyed to the Euclidean crossover. Tier 0 at the crossover. Tier 1 the first settled band beyond it. Higher tiers mark stronger commitment along the oriented arc.
Usage. Group states by stability and depth of individuation.
Asymmetry
Definition. One-way favouring between contrasted relata under a given condition.
Usage. Cite when the forward read licences and the reverse fails.
Being
Definition. Any structure that reaches a licensed return inside the coherence window.
Usage. Count being only at closure.
Coherence
Definition. Agreement of directional differences without internal contradiction under the stated conditions.
Usage. Use as the diagnostic for whether a family of licences can hold together.
Coherence window
Definition. The range in which a read can hold. At the symmetric edge the read drops to zero. At the hot edge over-asymmetry blocks closure.
Usage. Judge the viability of returns.
Compression
Definition. Individuated reflection on the lower side of the Euclidean crossover. It is the settled break that forms below the hinge.
Usage. Use for lower-side folded identity after crossing the hinge.
Condition
Definition. The situational fit that lets a direction be considered. It gathers scope and admissibility for a proposed move.
Usage. State conditions before granting any licence.
Contrast
Definition. The irreducible primitive that all later structure presupposes.
Usage. Invoke first, then read distinction, condition, licence and return.
Contrast step
Definition. A discrete move on the identity circuit that records how far and in which direction the structure has travelled along its allowed route.
Usage. Read displacement, orientation and progress toward closure.
Coverage index
Definition. A measure of how fully a validated family spans its intended domain under inherited support.
Usage. Report sufficiency of network reach.
Curvature
Definition. Deviation pressure recorded by the frame when contrast is distributed across licensed reads.
Usage. Use to discuss how the frame bears load as closure forms.
Dependency network
Definition. The directed graph of licence and return dependencies between frames and subframes.
Usage. Read to see which closures support others.
Desire
Definition. The directional pull a structure shows toward tighter fit. Strongest at the margins, quiet at closure.
Usage. Describe movement toward the middle of the coherence window.
Distinction
Definition. A readable separation that sets one relatum against another. Enables testing and licensing.
Usage. Invoke before any licence or return is considered.
Duad
Definition. Two relata held in contrast without a third organising relation. Direction and return are unspecified.
Usage. Name a contrasted pair only. Treat closure as outside its scope.
Echo
Definition. The second-order nexus of relation. The mirrored partner of a nexus across the reading frame. Echo completes what distinction begins and stabilises return once a single direction stands.
Usage. Finish a readable circuit when the forward direction survives its checks.
Echoed nexus
Definition. A nexus presented on the mirrored side of the frame, carrying the partnered confirmation.
Usage. Pair echoed and direct nexus when testing for closure.
Echonex
Definition. The reflected scaffold formed by echoes in mutual support. It realises validation inheritance for the network by carrying second-order support.
Usage. Cite when inherited confirmation stabilises returns across a mesh.
Euclidean crossover
Definition. The symmetry hinge. At the hinge direct and inherited reads coincide and no individuated identity presents. On either side symmetry breaks into relation that can hold.
Usage. Use as the zero line for arc and tier classification.
Expression
Definition. Individuated reflection on the upper side of the Euclidean crossover. It is the settled break that forms above the hinge.
Usage. Use for upper-side unfolded identity after crossing the hinge.
Extremals / Surface frames
Definition. Frames at the boundary of admissibility where validation is fragile.
Usage. Treat as informative edges, not stable cores.
False
Definition. The value assigned where the licensed direction fails under its condition.
Usage. Mark at the point the licence cannot be satisfied.
First-order distinction
Definition. Distinction made directly between relata in the base frame without second-order reflection.
Usage. Use for the initial readable separation.
Frames (triad frames)
Definition. Concrete settings that host nexi, licences and returns for a triad.
Usage. State the frame before stating the read.
Identity
Definition. The settled name of a structure within its current frame that survives re-inspection.
Usage. Record only at return.
Individuation
Definition. The sustained capacity to keep presenting as the same through repeated returns within the coherence window.
Usage. Assess by stability of closure across checks.
Irreflexivity
Definition. Self-contrast may occur, but self-distinction is disallowed. No self-licence and no self-return. A self-contrasting state cannot resolve or break symmetry.
Usage. Use to block diagonal self moves and to rule out closure from self-address.
Licence
Definition. Permission for exactly one directed read across a contrasted pair under a stated condition.
Usage. Grant narrowly and withdraw when conditions lapse.
Nexus (plural: nexi)
Definition. A minimal structural site where directional contrast is kept. Each relatum supports two nexi, one direct and one echoed.
Usage. Hang licences and test for return at nexi.
Nonsense
Definition. An unresolvable or unresolved structure. Contrast is live yet no admissible licence exists within the frame. Distinguished from absence, where no readable return exists, and from presence, where a licensed return stands.
Usage. Classify where contrast lives yet no closure can be earned under the stated conditions.
Nothing / Non-Being
Definition. Complete absence of readable return.
Usage. The zero of identity.
Observation (structural)
Definition. A validated read at a nexus under licence, independent of a subject.
Usage. Record as a structural act, not as psychology.
Omnisyndetic
Definition. The name of the framework that unifies syntactic licences with a syndetic geometry of return.
Usage. Use as the proper noun.
Over-asymmetry
Definition. Excessive directional favouring that breaks the coherence window and blocks closure.
Usage. Diagnose hot-edge failure.
Pairs (within a frame)
Definition. Relata taken two at a time under a declared frame for testing distinction and licence.
Usage. Use when naming the local domain for a read.
Presence
Definition. A state where a licensed return has been witnessed and identity stands. Presence is contrasted with nonsense and with absence.
Usage. Mark presence only at closure.
Radial deviation
Definition. A mode of relation that classifies departure from the Euclidean crossover along the radius of the frame. Combined with angular deviation it fixes asymmetry and classifies returned individuation.
Usage. Use with angular deviation to locate how far from the hinge the read sits.
Read
Definition. The act of taking a licensed direction across a contrasted pair and registering its outcome.
Usage. Promote to identity only at return.
Readability
Definition. The property of a separation or licence being available for inspection within the frame.
Usage. Without readability there is nothing to count.
Return
Definition. The moment a single licensed direction stands with no surviving rival and identity settles.
Usage. Mark where a read becomes countable as the same on re-inspection.
Return law (diagnostic rule)
Definition. Return equals an uncontested licensed direction under a stated condition.
Usage. Use as the operational test for closure.
Return to null reference
Definition. A proposed return claimed against a null relatum. It cannot witness a value.
Usage. Classify as unresolved.
Second-order distinction
Definition. Distinction about distinctions, including echoes and inherited support in the echonex.
Usage. Track relations between reads.
Self succinctness
Definition. The symmetric limit where a frame collapses to one undifferentiated presentation.
Usage. Note that identity cannot be read at this limit.
Shared-edge alignment
Definition. Agreement along a boundary where adjacent frames validate the same oriented edge.
Usage. Stitch local frames into a larger valid frame.
Statuses on an edge
Definition. The valid labels an edge can bear, including proposed, licensed, returned, or blocked.
Usage. Report exact stage of a claim.
Structural desire
Definition. The directional pull toward tighter fit. Strong at margins, quiet at closure.
Usage. Describe movement toward the window’s centre.
Syndetic
Definition. Pertaining to the connective logic where relations are bound by admissible joins.
Usage. Use for properties that hold under validation.
Syndetic contrast algebra
Definition. The visual and procedural layer that tracks contrast, licence and return through structured marks.
Usage. Keep reasoning visible and auditable.
Triad
Definition. The minimal coherent unit. Three acts of distinction held so they can return.
Usage. Treat as the base module for closure and identity.
True
Definition. The value recorded at a licensed, uncontested return.
Usage. Assign only with a witnessing return.
Truth
Definition. The stable outcome of a licensed read that withstands re-inspection in its frame.
Usage. Attach at closure, not in advance.
Validation
Definition. Confirmation that a licensed read has achieved return within stated conditions.
Usage. Record when evidence of return is present and reproducible.
Validatrix
Definition. A triadic network that coherently licenses triads by compatible directed return. The echonex carries inheritance across the network.
Usage. Explain why local closures remain stable across the mesh.