Tier 4

etc - Expand the Etcetera

ETC - Expand the Etcetera

Input: $ARGUMENTS


Core Principles

  1. “Etc” is a claim of pattern continuation. When someone writes “A, B, C, etc.” they’re asserting that a pattern exists and continues predictably. But the pattern they intend is often not the pattern that’s obvious. “Red, blue, green, etc.” — is the pattern primary colors? Colors of the rainbow? Colors in their CSS file? The continuation rule must be inferred, not assumed.

  2. The list head constrains the list tail. The items explicitly stated define the category, granularity, and scope of what follows. “Apples, oranges, etc.” means fruits — not “apples, oranges, trucks, democracy.” The head establishes a membership test that every expanded item must pass.

  3. Omission is often strategic. People don’t write “etc” randomly. They include the items that seemed most important, representative, or top-of-mind, and omit the rest. The omitted items are often less obvious, less prototypical, or less favored — which is exactly why expanding them matters.

  4. Lists have finite completions. Every “etc” has a point where the category is exhausted or continuing adds no value. The skill must define a stopping rule, not just keep generating. An unbounded expansion is as useless as the original “etc.”

  5. Multiple valid continuations exist. “Dogs, cats, etc.” could expand to {hamsters, fish, birds} (common pets), {wolves, lions, tigers} (related wild animals), or {horses, cows, pigs} (domesticated animals). The continuation depends on the RULE, and the rule depends on CONTEXT. Surface the rule explicitly.


Phase 1: Head Extraction

[E1] RAW_INPUT: [the full statement containing "etc" or equivalent, quoted]
[E2] LIST_HEAD: [the explicitly stated items, in order]
[E3] HEAD_COUNT: [how many items were explicit]
[E4] TAIL_MARKER: [what indicated continuation — "etc", "and so on", "...", ellipsis, "among others"]
[E5] CONTEXT: [surrounding text or situation that constrains interpretation]

Phase 2: Rule Inference

What pattern connects the explicit items?

[E6] CANDIDATE_RULES: [list 2-3 possible continuation rules]
  RULE_1: [pattern] — FITS_HEAD: [yes/partial] — EVIDENCE: [what supports this]
  RULE_2: [pattern] — FITS_HEAD: [yes/partial] — EVIDENCE: [what supports this]
  RULE_3: [pattern] — FITS_HEAD: [yes/partial] — EVIDENCE: [what supports this]

[E7] SELECTED_RULE: [the most likely continuation rule]
  CONFIDENCE: [high | medium | low]
  WHY_THIS_RULE: [what makes this interpretation strongest]
  MEMBERSHIP_TEST: [how to determine if a candidate item belongs — the explicit inclusion criterion]

Rule Inference Strategies

StrategyMethodWhen to Use
Category membershipAll items share a category”Apples, oranges, etc.” → fruits
Property matchAll items share a property”Red, blue, green, etc.” → primary colors
SequenceItems follow an ordered pattern”Monday, Tuesday, etc.” → days of the week
Exemplar to classItems are examples of a broader class”PostgreSQL, MySQL, etc.” → relational databases
ContextualSurrounding text defines the category”We support etc.” → context determines the domain

If confidence is low, present multiple expansions under different rules.


Phase 3: Expansion

Enumerate the omitted items:

[E-N] ITEM: [expanded item]
  WHY_INCLUDED: [how it satisfies the membership test]
  CONFIDENCE: [high | medium | low — how certain this belongs]
  WHY_OMITTED: [why the author likely didn't include it explicitly — less prototypical, less common, less important, or assumed obvious]

Expansion Quality Rules

  • Every item must pass the membership test from Phase 2
  • Maintain the same granularity as the head items — if the head has “Python, Java,” don’t expand with “programming” or “Python 3.11”
  • Order by relevance — most likely omissions first, edge cases last
  • Flag edge cases — items that might or might not belong, depending on interpretation

Phase 4: Completeness

Define when to stop:

[E-N] STOP_RULE: [the criterion for completeness]
  TYPE: [exhaustive | representative | threshold | diminishing]
  TOTAL_ITEMS: [head + expanded = N]
  REMAINING: [items deliberately excluded and why]

Stopping Criteria

TypeDefinitionWhen to Use
ExhaustiveEvery member of the category is listedSmall, finite categories (days of week, US states)
RepresentativeEnough items to cover major subcategoriesLarge categories where exhaustive is impractical
ThresholdItems above a relevance/frequency thresholdWhen some members are too obscure to matter
DiminishingStop when new items add negligible informationOpen-ended categories

Phase 5: Output

EXPANDED LIST
=============

ORIGINAL: [quoted input with "etc"]
RULE: [the continuation pattern]
CONFIDENCE: [level]

EXPLICIT (from author):
  1. [item]
  2. [item]
  3. [item]

EXPANDED (inferred):
  4. [item] — CONFIDENCE: [level]
  5. [item] — CONFIDENCE: [level]
  6. [item] — CONFIDENCE: [level]
  ...

EDGE CASES (might belong):
  - [item] — DEPENDS_ON: [what interpretation]

STOP: [completeness criterion] — TOTAL: [N items]

ALTERNATIVE RULE: [if a different continuation rule exists]
  WOULD PRODUCE: [different expansion under that rule]

READY FOR:
- /se [category] — to systematically enumerate instead of inferring
- /mv — to validate the expanded list is MECE
- /aso — to expand "and so on" patterns (related skill)

Failure Modes

FailureSignalFix
Wrong ruleExpanded items clearly don’t match the author’s intentGenerate multiple candidate rules and use context to select
Granularity mismatchHead has “Python, Java” and expansion has “scripting languages”Match the specificity level of the head items exactly
No stop ruleList keeps growing without boundDefine completeness criterion before expanding
Only obvious itemsExpanded items are the first things anyone would think ofThe value is in the non-obvious members. Push past the obvious
Category driftItems get progressively less related to the headEvery item must pass the membership test. Check the last few items especially
Single rule assumedOnly one interpretation consideredAlways generate 2+ candidate rules. If context is ambiguous, present multiple expansions
Head items unchallengedAssuming all head items perfectly fit the ruleSometimes the author’s own examples are inconsistent. Note when head items don’t all fit one clean rule

Depth Scaling

DepthCandidate RulesExpansion SizeEdge CasesAlternative Expansions
1x1 (best fit)3-5 itemsNoNo
2x2-35-8 itemsFlagged1 alternative
4x3+8-12 itemsAnalyzed2 alternatives
8xAll plausibleExhaustive or representativeFull analysisAll alternatives

Default: 2x. These are floors.


Pre-Completion Checklist

  • List head extracted with all explicit items
  • Continuation rule inferred explicitly (not assumed)
  • Membership test defined
  • Multiple candidate rules considered
  • Expanded items all pass the membership test
  • Granularity matches the head items
  • Stop rule defined and applied
  • Edge cases flagged where appropriate
  • At least one alternative interpretation noted (at 2x+)

Integration

  • Use from: encountering “etc”, “and so on”, ”…”, incomplete lists, vague enumerations
  • Routes to: /se (systematic enumeration for thorough coverage), /mv (validate list structure)
  • Complementary: /aso (handles “and so on” patterns — related but distinct trigger)
  • Differs from /se: se generates lists from scratch; etc expands an existing partial list
  • Differs from /aso: aso focuses on continuation patterns; etc focuses on category membership and completion
  • Differs from /list: list builds lists with quality criteria; etc expands existing compressed lists