Extrapolative Trial by Error
This article is about Andrew Lehti's research method. For Metopedia's general research standards, see Metopedia:Research method.
Extrapolative Trial by Error is a research method described by Andrew Lehti in connection with his work on cognitive psychology, education systems, and the Canonical Order of Operations. The method emphasizes developing observations and models before extensive exposure to existing academic interpretations, then comparing the resulting framework against established literature after the model has been independently formed.
Definition
The method is intended to reduce anchoring bias. Rather than beginning with a literature framework and then fitting observations into it, the researcher first investigates patterns, contradictions, behaviors, and structural relationships directly. After the independent model is built, academic material is reviewed to evaluate alignment, contradiction, overlap, or missing context.
Role in Canonical Order of Operations
In the Canonical Order manuscript, Extrapolative Trial by Error functions as methodological background. Lehti uses it to explain why the Canonical Order is framed as a reconstruction of mathematical assumptions rather than as a conventional restatement of established order-of-operations doctrine.
The method does not prove the mathematical claims by itself. Its role is to explain how the author arrived at the framework and why institutional convention is treated as something to be tested rather than assumed.
Method structure
The method can be summarized as:
- observe a recurring pattern or contradiction;
- avoid premature dependence on established interpretation;
- build a provisional model through repeated trial, failure, and refinement;
- test whether the model explains the observed pattern;
- compare the model against academic and technical sources;
- identify agreements, contradictions, and missing formal recognition;
- revise the model where evidence requires correction.
Strengths
The method may help identify assumptions that are hidden inside inherited frameworks. It is especially suited to topics involving educational conformity, institutional repetition, cognitive impasse, and systems where the accepted explanation may be preserved by habit rather than direct re-evaluation.