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Mereology Part Relation Inverse Tool

Invert an explicitly asserted part-of relation into has-part without verifying the underlying relation.

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Description

Return the whole as inverseSubject, has-part as inverseRelation, and the part as inverseObject.

Logical notation distinguishes terms, argument structure, scope, and inference rules. A string formatter or local structural check can organize a supplied expression without proving an argument or determining its truth.

Return the whole as inverseSubject, has-part as inverseRelation, and the part as inverseObject.

When to use this tool

Use Mereology Part Relation Inverse when you need one bounded logical-notation component or explicit term comparison.

How to use the tool and how it works

  1. Enter partId, wholeId. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read inverseSubject, inverseRelation, inverseObject. Use the output convention below.

Require nonempty partId and wholeId. Return the whole as inverseSubject, has-part as inverseRelation, and the part as inverseObject.1

Input fieldMeaning and unitsAccepted input
partIdPart IdRequired. Text; maximum UTF-16 length 8192.
wholeIdWhole IdRequired. Text; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
inverseSubjectInverse SubjectRequired. Text; maximum UTF-16 length 8192.
inverseRelationInverse RelationRequired. Text; maximum UTF-16 length 8192.
inverseObjectInverse ObjectRequired. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "partId": "wheel",
    "wholeId": "bicycle"
  },
  "output": {
    "inverseSubject": "bicycle",
    "inverseRelation": "has-part",
    "inverseObject": "wheel"
  }
}

Limitations and assumptions

  • This reverses one supplied relation label without proving part-whole truth, antisymmetry, transitivity, or a chosen mereological theory.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.

Alternative or Complementary methods

Use a parser or proof system for the complete formal language when validity or derivability matters.

References

  1. Calculation and input contract: philosophy/mereology-part-relation-inverse — tool.io

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