Description
Identify a countermodel in one assignment; a non-countermodel does not establish global argument validity.
A logical calculation operates on a stated representation: truth values, token lists, counts, or an explicitly supplied relation. Checking one assignment, pair, trace, or witness is different from proving a formula or validating an entire argument. Empty domains, duplicate tokens, and scope conventions can change the result.
Identify a countermodel in one assignment; a non-countermodel does not establish global argument validity.
When to use this tool
Use Argument Validity Countermodel One Assignment when you need this exact local truth, count, token, relation, or witness check within a larger logic workflow.
How to use the tool and how it works
- Enter premises, conclusion. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read allPremises, countermodel. Inspect allPremises, countermodel before interpreting the associated values.
Return allPremises=every supplied premise and countermodel when allPremises and NOT conclusion.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| premises | Premises | Required. Array of boolean; maximum items 256. |
| conclusion | Conclusion | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| allPremises | All Premises | Required. Boolean. |
| countermodel | Countermodel | Required. Boolean. |
{
"input": {
"premises": [
true,
true
],
"conclusion": false
},
"output": {
"allPremises": true,
"countermodel": true
}
}Limitations and assumptions
- An empty premise list has allPremises=true. A true countermodel witnesses failure at this one supplied assignment; absence of one does not prove validity over all assignments.
- 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, scope-aware representation, model checker, or proof procedure when the supplied token or witness representation is insufficient. A local passing check should not be promoted to global validity.
References
Similar or alternative tools
- Argument Assumption Scope Depth
Audit explicit opening/closing assumption-scope actions without evaluating argument validity.
- Argument Attack Inout Degree
Count supplied attack-edge incidences, including repeated edges and self-attacks as listed.