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Ethical Argument Quantifier Label Tool

Render an explicitly selected quantifier over a literal proposition without performing logical inference.

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Description

Validate quantifier all, some, or none and an ASCII variable-name shape, require nonempty proposition, and wrap it with ∀, ∃, or ¬∃ notation.

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.

Validate quantifier all, some, or none and an ASCII variable-name shape, require nonempty proposition, and wrap it with ∀, ∃, or ¬∃ notation.

When to use this tool

Use Ethical Argument Quantifier Label when you need one bounded logical-notation component or explicit term comparison.

How to use the tool and how it works

  1. Enter quantifier, variable, proposition. 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 label. Use the output convention below.

Validate quantifier all, some, or none and an ASCII variable-name shape, require nonempty proposition, and wrap it with ∀, ∃, or ¬∃ notation.1

Input fieldMeaning and unitsAccepted input
quantifierQuantifierRequired. Text; one of "all", "some", "none"; maximum UTF-16 length 8192.
variableVariableRequired. Text; maximum UTF-16 length 8192.
propositionPropositionRequired. Text; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
labelFormatted label for the supplied components under the convention above.Required. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "quantifier": "all",
    "variable": "x",
    "proposition": "P(x)"
  },
  "output": {
    "label": "∀x (P(x))"
  }
}

Limitations and assumptions

  • This formats logical notation without parsing a proposition, binding variables safely, checking scope, or proving an ethical claim.
  • 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: ethics/ethical-argument-quantifier-label — tool.io

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