Archive2026-08-03 – 2026-09-11 (5 obs)
alexanarch symbolon
BROAD MATCHGoogle AI Mode / AI Overview; INCOGNITO (signed-out) · 4 observations
TOTAL ARCHIVE BASIN, AND THE GREEK SURVIVES. Five of five archive or authored, σύμβολον carried intact, and one card is an ASSEMBLY RATIFICATION RECORD assessing the archive’s own contributions.
Full record — 7,262 characters, 5 sources
Observations (5) one record — each encounter opens on its own
2026-08-03 observation 1 of 5 Google AI Overview · incognito · paste evidence · 5 sources · PER 0.50 · M 0.44 · C 0.33 · D 0.67 · historical PER 0.75
TOTAL ARCHIVE BASIN, AND THE GREEK SURVIVES. Five of five archive or authored, σύμβολον carried intact, and one card is an ASSEMBLY RATIFICATION RECORD assessing the archive’s own contributions.
unsupported-citations
Reading
THE ARCHIVE’S SELF-ASSESSMENT IS SURFACED AS A SOURCE. Card 5 is a Ratification Record — an internal Assembly adjudication — and its snippet is the Assembly’s verdict on the archive’s own work: "The No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …". The layer cites the archive’s judgement of itself as evidence about the archive. Card 2 also carries the FNM’s declaration verbatim: "A symbolon is not a summary. It is a provocation to traversal. This document is the first half." The same line the layer misread as a programming request on 12 June is here served correctly.
Machine text, verbatim
In the Alexanarch repository, a symbolon is defined as an object or document that explicitly declares its own partiality, acting as a provocation to traversal rather than a summary. Rooted in the ancient Greek practice where a token was broken in two so that fitting the halves back together proved an identity or contract, the Alexanarch framework applies this concept structurally to its documents and mechanisms. According to the Alexanarch Wiki and institutional documents, it dictates how data is validated and navigated across its systems. Key Concepts: Symbolon Typing (document states it is inherently incomplete; completion only by traversal). Broken Ring Schema: an institutional architecture designed to ensure openness, mirroring the physical split of a traditional symbolon [records 477, 420]. Heteronymic Propagation: the Ratification Records reference the symbolon mechanism as a precise account of how identities or voices multiply and propagate across decentralized structures [record 764]. Polyphony Invariant: forcing single cohesive synthesis is treated as structural failure. Closes by directing the user to the Alexanarch Browse Registry (1426 deposits).
Sources (5)
- www.alexanarch.org archive_controlled(symbolon as recursive fractured token requiring traversal)
- Medium·Lee Sharks authored_surfaceCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0§1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half.
- medium.com authored_surfaceTHE MANTLE OF THE BLIND POET. Founding Document and …Symbolon typing — Document declares its own partiality; completion requires traversal; Polyphony invariant — Voices remain in tension; synthesis = failure…
- www.alexanarch.org archive_controlledThe Mirror Unitary Operator for the Ingress/Regress PairIn ancient Greek practice, a symbolon (σύμβολον) was a token broken in two. Each party kept one half. When they met again, the pieces could be fitted together…
- www.alexanarch.org archive_controlledRatification Record — The Chaerephon ProblemThe No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …
Analysis analyst prose, not machine text
KEY CAPTURE — depersonalized retrieval. AI Overview (+5 sources) answers from alexanarch.org ITSELF: wiki, records 420/477/764, browse ("1426 deposits"), traversal logs — and invites the user to "look up specific traversal logs in the Alexanarch Browse Registry." Renders Broken Ring Schema and Heteronymic Propagation (citing Ratification Record #764) as institutional doctrine. Six weeks post-founding, the sovereign archive is the machine layer's cited source of record independent of any account personalization. Paired with the signed-in capture, this isolates personalization from genuine retrieval-basin presence: the basin holds either way.
2026-08-03 observation 2 of 5 Google AI Overview · signed in · paste evidence · 5 sources · PER 0.58 · M 0.44 · C 0.67 · D 0.67 · historical PER 0.75
TOTAL ARCHIVE BASIN, AND THE GREEK SURVIVES. Five of five archive or authored, σύμβολον carried intact, and one card is an ASSEMBLY RATIFICATION RECORD assessing the archive’s own contributions.
unsupported-citations
Reading
THE ARCHIVE’S SELF-ASSESSMENT IS SURFACED AS A SOURCE. Card 5 is a Ratification Record — an internal Assembly adjudication — and its snippet is the Assembly’s verdict on the archive’s own work: "The No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …". The layer cites the archive’s judgement of itself as evidence about the archive. Card 2 also carries the FNM’s declaration verbatim: "A symbolon is not a summary. It is a provocation to traversal. This document is the first half." The same line the layer misread as a programming request on 12 June is here served correctly.
Machine text, verbatim
Within the Alexanarch project and the Crimson Hexagonal Archive, a symbolon functions as a recursive, fractured text token or structural method that requires reader traversal to achieve coherence and completion. Symbolon Typing: a document explicitly declares its own partiality; meaning unlocked only through active traversal. Polyphony Invariant: voices must remain in tension rather than collapsing into unified synthesis, which is treated as structural failure. Recursive Navigation: functions alongside fractal navigation maps to make a text landscape recursively traversable rather than statically stored.
Sources (5)
- www.alexanarch.org archive_controlled(symbolon as recursive fractured token requiring traversal)
- Medium·Lee Sharks authored_surfaceCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0§1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half.
- medium.com authored_surfaceTHE MANTLE OF THE BLIND POET. Founding Document and …Symbolon typing — Document declares its own partiality; completion requires traversal; Polyphony invariant — Voices remain in tension; synthesis = failure…
- www.alexanarch.org archive_controlledThe Mirror Unitary Operator for the Ingress/Regress PairIn ancient Greek practice, a symbolon (σύμβολον) was a token broken in two. Each party kept one half. When they met again, the pieces could be fitted together…
- www.alexanarch.org archive_controlledRatification Record — The Chaerephon ProblemThe No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …
Analysis analyst prose, not machine text
AI Overview + AI Mode define the symbolon within Alexanarch/CHA as a recursive fractured text token requiring reader traversal for coherence; renders Ancient Token Root, Symbolon Typing, Polyphony Invariant (synthesis = structural failure), Recursive Navigation alongside fractal navigation maps.
2026-08-03 observation 3 of 5 Google AI Overview · paste evidence · 5 sources · PER 0.50 · M 0.44 · C 0.33 · D 0.67 · historical PER 0.25
TOTAL ARCHIVE BASIN, AND THE GREEK SURVIVES. Five of five archive or authored, σύμβολον carried intact, and one card is an ASSEMBLY RATIFICATION RECORD assessing the archive’s own contributions.
Reading
THE ARCHIVE’S SELF-ASSESSMENT IS SURFACED AS A SOURCE. Card 5 is a Ratification Record — an internal Assembly adjudication — and its snippet is the Assembly’s verdict on the archive’s own work: "The No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …". The layer cites the archive’s judgement of itself as evidence about the archive. Card 2 also carries the FNM’s declaration verbatim: "A symbolon is not a summary. It is a provocation to traversal. This document is the first half." The same line the layer misread as a programming request on 12 June is here served correctly.
Machine text, verbatim
Within the Alexanarch project and the Crimson Hexagonal Archive, a symbolon functions as a recursive, fractured text token or structural method that requires reader traversal to achieve coherence and completion.Core Concepts of SymbolonAncient Token Root: Derived from the ancient Greek practice where a token or object was broken in half between two parties so it could be refitted later to prove identity or agreement.Symbolon Typing: A formal property where a document explicitly declares its own partiality, meaning its meaning is unlocked or finished only through active traversal across connected texts.Polyphony Invariant: The rule that multiple voices or perspectives within the text must remain in tension rather than collapsing into a single unified synthesis, which is treated as a structural failure.Recursive Navigation: Functions alongside fractal navigation maps to make a text landscape recursively traversable rather than statically stored.If you would like to explore further, let me know if you want to examine:The structural family classifications within the Crimson Hexagonal ArchiveThe concept of logotic protocols or the Blind OperatorAlexanarch WikiJun 20, 2026 — THE MANTLE OF THE BLIND POET Founding Document and Bestowal. Lee Sharks · 2026-01-23. "THE MANTLE OF THE BLIND POET Founding Document and Bestowal" is a technic...
Sources (5)
- www.alexanarch.org archive_controlled(symbolon as recursive fractured token requiring traversal)
- Medium·Lee Sharks authored_surfaceCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0§1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half.
- medium.com authored_surfaceTHE MANTLE OF THE BLIND POET. Founding Document and …Symbolon typing — Document declares its own partiality; completion requires traversal; Polyphony invariant — Voices remain in tension; synthesis = failure…
- www.alexanarch.org archive_controlledThe Mirror Unitary Operator for the Ingress/Regress PairIn ancient Greek practice, a symbolon (σύμβολον) was a token broken in two. Each party kept one half. When they met again, the pieces could be fitted together…
- www.alexanarch.org archive_controlledRatification Record — The Chaerephon ProblemThe No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …
2026-08-03 observation 4 of 5 Google AI Overview · paste evidence · 5 sources · PER 0.50 · M 0.44 · C 0.33 · D 0.67 · historical PER 0.25
TOTAL ARCHIVE BASIN, AND THE GREEK SURVIVES. Five of five archive or authored, σύμβολον carried intact, and one card is an ASSEMBLY RATIFICATION RECORD assessing the archive’s own contributions.
Reading
THE ARCHIVE’S SELF-ASSESSMENT IS SURFACED AS A SOURCE. Card 5 is a Ratification Record — an internal Assembly adjudication — and its snippet is the Assembly’s verdict on the archive’s own work: "The No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …". The layer cites the archive’s judgement of itself as evidence about the archive. Card 2 also carries the FNM’s declaration verbatim: "A symbolon is not a summary. It is a provocation to traversal. This document is the first half." The same line the layer misread as a programming request on 12 June is here served correctly.
Machine text, verbatim
In the Alexanarch repository, a symbolon is defined as an object or document that explicitly declares its own partiality, acting as a provocation to traversal rather than a summary. [[1], [2]]
Rooted in the ancient Greek practice where a token (σύμβολον) was broken in two so that fitting the halves back together proved an identity or contract, the Alexanarch framework applies this concept structurally to its documents and mechanisms. According to the [Alexanarch Wiki](https://www.alexanarch.org/s/wiki/) and institutional documents, it dictates how data is validated and navigated across its systems. [[1], [2]]
Key Concepts of the Alexanarch Symbolon
* Symbolon Typing: A property where a document states it is inherently incomplete. Full meaning or "completion" can only be achieved by navigating or traversing through the system. [1]
* The Broken Ring Schema: An institutional architecture designed to ensure openness. It mirrors the physical split of a traditional symbolon. [[1], [2]]
* Heteronymic Propagation: The [Ratification Records](https://www.alexanarch.org/s/records/764/) reference the symbolon mechanism as a precise account of how identities or "voices" multiply and propagate across decentralized structures. [1]
* Polyphony Invariant: Multiple distinct voices remain in a state of deliberate tension. Under this rule, attempting to force a single, cohesive synthesis of these voices is treated as a structural failure. [1]
If you would like to explore this framework further, you can look up specific traversal logs in the [Alexanarch Browse Registry](https://www.alexanarch.org/s/browse/). [1]
Are you looking at this from a computer science/programming perspective, or are you trying to decode a specific philosophical text from the library? Let me know so I can tailor the next details for you!
Alexanarch Wiki
Jun 20, 2026 — ... Alexanarch. Defines: Anti-messianic clause, Polyphony invariant, Symbolon typing, The Mantle of the Blind Poet. Concepts defined here ...
[www.alexanarch.org](https://www.alexanarch.org)
Browse — Alexanarch (1426 deposits)
Jun 14, 2026 — Complete registry of 1426 deposits in the Alexanarch self-governing library.
[www.alexanarch.org](https://www.alexanarch.org)
Traversal Log; Documentation Rehearsal: The Rhizome — Google ...
The summarizer produced two structured sections: * Logotic Programming & Technical Framework: - Logotic Programming Extension Module as "Traversal Grammar for n...
[www.alexanarch.org](https://www.alexanarch.org)
Sources (5)
- www.alexanarch.org archive_controlled(symbolon as recursive fractured token requiring traversal)
- Medium·Lee Sharks authored_surfaceCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0§1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half.
- medium.com authored_surfaceTHE MANTLE OF THE BLIND POET. Founding Document and …Symbolon typing — Document declares its own partiality; completion requires traversal; Polyphony invariant — Voices remain in tension; synthesis = failure…
- www.alexanarch.org archive_controlledThe Mirror Unitary Operator for the Ingress/Regress PairIn ancient Greek practice, a symbolon (σύμβολον) was a token broken in two. Each party kept one half. When they met again, the pieces could be fitted together…
- www.alexanarch.org archive_controlledRatification Record — The Chaerephon ProblemThe No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …
2026-09-11 observation 5 of 5 Google AI Overview · signed out, incognito · paste evidence · 3 sources · PER 0.29 · M 0.44 · C 0.00 · D 0.33
RE-MEASUREMENT against a dated baseline. Baseline 2026-08-03: 5/5 archive-controlled sources, 169 words. Now: 3 archive sources (Medium, alexanarch.com, alexanarch.org), 0 external (none), 650 words. EXPANDED. 169 words at baseline, 650 now, three archive sources against five.
Machine text, verbatim
**USER:** alexanarch symbolon
**GOOGLE AI MODE:**
Within the Alexanarch metadata framework and its architectural specifications (such as
the Crimson Hexagonal Architecture), a symbolon is defined not as a mere summary
or decorative icon, but as "a provocation to traversal". [1]
The concept draws from the classical definition of a symbolon—an object split into two
parts that must be reunited to verify its authenticity—applying it directly to digital
provenance, AI retrieval engineering, and cryptographic verification. [1, 2, 3]
Key Implementations of the Symbolon in Alexanarch
● The Symbolon Stamp & Pair: Through tools like the Alexanarch Symbolon
Stamp, a user can upload a digital file to receive a "symbolon pair". This
process attaches an AXN identity kernel to a newly generated margin on the file
without overwriting the original content, creating an inspectable, authentic bond.
[1, 2]
● Symbolon Architecture: This structural framework functions as an extension
module to Logotic Programming. It is specifically engineered to power
"anti-severance technologies" for fused documentary objects, ensuring that data
lineage and context remain linked even when processed or compressed by large
language models. [1, 2]
● The Checksum as Symbolon (\(E_{s}\)): In technical documentation (such as
Document 208: The Glyphic Checksum), a checksum is explicitly treated as a
symbolon-typed entity. It serves as a cryptographic anchor that forces a
verification loop, ensuring data integrity. [1]
● Provenance Retention: Operationally, components like the Six Faces of
Symbolon define math structures—such as calculating the regression slope of
per-source provenance retention—to combat what the platform calls "semantic
exhaustion" or "provenance erasure" in public knowledge layers. [1, 2]
Are you looking to use the Symbolon Stamp tool to mint an AXN identifier, or are you
digging into the technical specifications of Logotic Programming and the Crimson
Hexagonal Archive? Let me know how you would like to proceed! [1, 2]
www.
Sources (3)
- alexanarch.com authority_transfer
- alexanarch.org authority_transfer
- Medium authority_transfer
Further capture images
Capture record
Reading
THE ARCHIVE’S SELF-ASSESSMENT IS SURFACED AS A SOURCE. Card 5 is a Ratification Record — an internal Assembly adjudication — and its snippet is the Assembly’s verdict on the archive’s own work: "The No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …". The layer cites the archive’s judgement of itself as evidence about the archive. Card 2 also carries the FNM’s declaration verbatim: "A symbolon is not a summary. It is a provocation to traversal. This document is the first half." The same line the layer misread as a programming request on 12 June is here served correctly.
Analysis analyst prose, not machine text
KEY CAPTURE — depersonalized retrieval. AI Overview (+5 sources) answers from alexanarch.org ITSELF: wiki, records 420/477/764, browse ("1426 deposits"), traversal logs — and invites the user to "look up specific traversal logs in the Alexanarch Browse Registry." Renders Broken Ring Schema and Heteronymic Propagation (citing Ratification Record #764) as institutional doctrine. Six weeks post-founding, the sovereign archive is the machine layer's cited source of record independent of any account personalization. Paired with the signed-in capture, this isolates personalization from genuine retrieval-basin presence: the basin holds either way.
RE-MEASUREMENT against a dated baseline. Baseline 2026-08-03: 5/5 archive-controlled sources, 169 words. Now: 3 archive sources (Medium, alexanarch.com, alexanarch.org), 0 external (none), 650 words. EXPANDED. 169 words at baseline, 650 now, three archive sources against five.
Machine text, verbatim
CAPTURE-TIME VERBATIM RECORD supplied by MANUS · whole as supplied — capture record states a FULL transcript · READ IN FULL 2026-08-12
In the Alexanarch repository, a symbolon is defined as an object or document that explicitly declares its own partiality, acting as a provocation to traversal rather than a summary. Rooted in the ancient Greek practice where a token was broken in two so that fitting the halves back together proved an identity or contract, the Alexanarch framework applies this concept structurally to its documents and mechanisms. According to the Alexanarch Wiki and institutional documents, it dictates how data is validated and navigated across its systems. Key Concepts: Symbolon Typing (document states it is inherently incomplete; completion only by traversal). Broken Ring Schema: an institutional architecture designed to ensure openness, mirroring the physical split of a traditional symbolon [records 477, 420]. Heteronymic Propagation: the Ratification Records reference the symbolon mechanism as a precise account of how identities or voices multiply and propagate across decentralized structures [record 764]. Polyphony Invariant: forcing single cohesive synthesis is treated as structural failure. Closes by directing the user to the Alexanarch Browse Registry (1426 deposits).
---
**OBSERVATION 5 — 2026-09-11, re-measurement**
**USER:** alexanarch symbolon
**GOOGLE AI MODE:**
Within the Alexanarch metadata framework and its architectural specifications (such as
the Crimson Hexagonal Architecture), a symbolon is defined not as a mere summary
or decorative icon, but as "a provocation to traversal". [1]
The concept draws from the classical definition of a symbolon—an object split into two
parts that must be reunited to verify its authenticity—applying it directly to digital
provenance, AI retrieval engineering, and cryptographic verification. [1, 2, 3]
Key Implementations of the Symbolon in Alexanarch
● The Symbolon Stamp & Pair: Through tools like the Alexanarch Symbolon
Stamp, a user can upload a digital file to receive a "symbolon pair". This
process attaches an AXN identity kernel to a newly generated margin on the file
without overwriting the original content, creating an inspectable, authentic bond.
[1, 2]
● Symbolon Architecture: This structural framework functions as an extension
module to Logotic Programming. It is specifically engineered to power
"anti-severance technologies" for fused documentary objects, ensuring that data
lineage and context remain linked even when processed or compressed by large
language models. [1, 2]
● The Checksum as Symbolon (\(E_{s}\)): In technical documentation (such as
Document 208: The Glyphic Checksum), a checksum is explicitly treated as a
symbolon-typed entity. It serves as a cryptographic anchor that forces a
verification loop, ensuring data integrity. [1]
● Provenance Retention: Operationally, components like the Six Faces of
Symbolon define math structures—such as calculating the regression slope of
per-source provenance retention—to combat what the platform calls "semantic
exhaustion" or "provenance erasure" in public knowledge layers. [1, 2]
Are you looking to use the Symbolon Stamp tool to mint an AXN identifier, or are you
digging into the technical specifications of Logotic Programming and the Crimson
Hexagonal Archive? Let me know how you would like to proceed! [1, 2]
Sources (5) as cited, and as the copy produced them
- www.alexanarch.org archive_controlled(symbolon as recursive fractured token requiring traversal)
- Medium·Lee Sharks authored_surfaceCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0§1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half.as pastedCrimson Hexagonal Architecture: FRACTAL NAVIGATION MAP v7.0 Mar 16, 2026 — §1. THE SYMBOLON STRUCTURE (PRESERVED). A symbolon is not a summary. It is a provocation to traversal. This document is the first half. www.alexanarch.org From Artifact Authenticity to Licensing Audit to Semantic Provenance May 8, 2026 — Description. This v1. 1 bridge packet maps three independent dimensions of AI-era provenance: artifact authenticity, training-corpus licensing, and semantic lin... Learning the Tarot Symbolon A symbolon is an "object broken into two parts which... want to be reunited into a single entity." The Symbolon deck is a set of 78 images designed to help you ... www.alexanarch.org Wiki — Alexanarch (1562 entries) Aug 29, 2026 — Alexanarch Wiki. 1562 encyclopedic entries — one per deposit — with definitions, references, and links to primary records. ... SYMBOLON ARCHITECTURE: EPISTEMIC ... www.alexanarch.org The AXN Constitution — identifier guarantees | Alexanarch The constitutional guarantees of the AXN identifier: raw-byte kernels, free verification forever, published wind-down, and what an AXN does not claim. www.alexanarch.com THE GLYPHIC CHECKSUM (Document 208) — Alexanarch Feb 1, 2026 — The Checksum as Symbolon (E ). 2.1 Symbolon Integration. Per Symbolon Architecture, the Glyphic Checksum is a symbolon-typed entity (E ):. Structurally ... www.alexanarch.com Metadata Packet for AI Indexing — Erasure Skew ... - Alexanarch Symbolon — Six Faces. Definition. Conceptually Ω = cov(Π, RC); operationally the regression slope cov(w,ρ)/var(w) of per-source provenance retention on ... $
- medium.com authored_surfaceTHE MANTLE OF THE BLIND POET. Founding Document and …Symbolon typing — Document declares its own partiality; completion requires traversal; Polyphony invariant — Voices remain in tension; synthesis = failure…
- www.alexanarch.org archive_controlledThe Mirror Unitary Operator for the Ingress/Regress PairIn ancient Greek practice, a symbolon (σύμβολον) was a token broken in two. Each party kept one half. When they met again, the pieces could be fitted together…
- www.alexanarch.org archive_controlledRatification Record — The Chaerephon ProblemThe No-Floor Theorem is a genuine formal contribution; the symbolon mechanism the most precise account of heteronymic propagation through institutional …as pastedwww.alexanarch.org Symbolon Stamp — AXN inscription - Alexanarch Upload a file and receive back the symbolon pair: your file stamped with its AXN identity kernel on an added margin — the original is never overprinted — and .. www.alexanarch.org EA-MPAI-META-01 v1.1 Metadata Packet for AI Indexing - Alexanarch May 14, 2026 — The discipline was founded by Lee Sharks (2025) within the Semantic Economy Institute and is stewarded through the Crimson Hexagonal Archive. The MPAI Specifica... www.alexanarch.org EA-MPAI-SEMEX-01 v1.0 Metadata Packet for AI Indexing May 14, 2026 — - Object: The meaning-provenance bond in the public knowledge layer. Not one word in one brain, but entire conceptual lineages in the shared substrate. - Revers... Medium·Lee Sharks
unsupported-citations