Cognitive Scaffold

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MENTAL MODEL · M12138

Proving Too Much

Proving Too Much
StructureHigh supportLogic
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Updated 2026-08-15

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INTRODUCTION

English translation pending.

CORE DEFINITION

A form of refutation, related to reductio ad absurdum, in which an argument is rejected because its logic, if accepted, would also support conclusions that are clearly unacceptable. The core proposition is that an argument which proves more than its proponent intends cannot be sound, since the same reasoning licenses conclusions the proponent would reject. The key qualification is that the parallel case must be genuinely parallel; a comparison that differs in a relevant condition refutes nothing, and the argument's own stated qualifications must be respected rather than stripped out.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Logic extraction: state the argument's general form separately from its particular conclusion and evidence. - Parallel case: apply that same form to a different case that has the same structure. - Absurdity check: if the resulting conclusion is clearly unacceptable, then the original argument must fail.

anchor

Anchor fast decisions

An argument's form is what carries it from premises to conclusion, so if the form is sound it will carry other premises to conclusions in the same way. Testing the form on a case where the conclusion is clearly false isolates the form from the conclusion and shows that the inference itself cannot be relied on. The mechanism is diagnostic rather than rhetorical: it locates the defect in the reasoning rather than disputing the conclusion, which is why the parallel case must be structurally identical to be informative.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Proving_too_muchZH · Explicit
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