Lewis Carroll Sorites Premise Chain Link Counter

Inspect explicit ordered universal class-inclusion sorites links; no existential import, natural-language parsing or arbitrary syllogism proof.

Description

Lewis Carroll Sorites Premise Chain Link Counter: return premise count, chain link count, broken link indices, unbroken universal inclusion chain.

A sorites chain links class-inclusion premises so that the predicate of one becomes the subject of the next. Gaps in that ordered chain can be located textually.

This tool returns premise count, chain link count, broken link indices, unbroken universal inclusion chain. Use the stated units and model convention when interpreting these fields.

When to use this tool

Use this tool when the supplied inputs match the specific operation described above and you need a repeatable result under its stated convention.

  • Check the supported input and output contract against an existing calculation or observation.
  • Use the complete example to confirm units, selector spelling and result interpretation.

How to use the tool and how it works

  1. Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
  2. Run the tool. Correct input errors before interpreting an output.
  3. Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.

Require aligned nonempty subject and predicate lists. Compare each predicate with the following subject using exact text; report zero-based gap indices, premise count and one fewer potential links.1

Input fieldMeaning and unitsAccepted input
premiseSubjectsPremise subjects.List of text values
premisePredicatesPremise predicates.List of text values
Output fieldInterpretation
resultObject containing the following named result fields.
result.premiseCountPremise count; use the stated units and sign convention.
result.chainLinkCountChain link count; use the stated units and sign convention.
result.brokenLinkIndicesBroken link indices list, in the ordering described in the calculation.
result.unbrokenUniversalInclusionChainUnbroken universal inclusion chain flag under the exact conditions described above.
json
{
  "input": {
    "premiseSubjects": [
      "A",
      "B",
      "C"
    ],
    "premisePredicates": [
      "B",
      "C",
      "D"
    ]
  },
  "output": {
    "result": {
      "premiseCount": 3,
      "chainLinkCount": 2,
      "brokenLinkIndices": [],
      "unbrokenUniversalInclusionChain": true
    }
  }
}

Limitations and assumptions

  • Only an ordered universal-inclusion chain is checked. Semantic equivalence, other syllogistic forms and premise truth are not established.
  • Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
  • Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.

Alternative or Complementary methods

Check the underlying observations, units and conventions independently before using the result in a larger workflow. The tools listed below address nearby tasks; compare their inputs and scope before substituting one for this operation.

References

  1. Tool behavior and example: Lewis Carroll Sorites Premise Chain Link Counter — tool.io

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