推論 and 推理: Actions inferred from clues and their support
Compare inferring a culprit's actions from limited clues or remaining footprints. Preserve insufficient evidence and the possibility of readers enjoying deduction in a novel without guaranteeing a correct conclusion.
An action inferred from limited clues
推論 includes inference or reasoning. The limited-clue example connects available information to a culprit's actions, so inference is not restricted to an academic setting.
「限られた手掛かりから犯人の行動を推論した。」 (We inferred the culprit's actions from limited clues.) The clues are limited, and the inferred content concerns actions. This does not establish direct observation or a verified conclusion.
An action deduced from footprints
推理 includes deduction or reasoning. Its footprint example also derives a culprit's actions from clues, showing an overlap with the inference example.
「残された足跡から犯人の行動を推理した。」 (We deduced the culprit's actions from the footprints left behind.) Actions are deduced from remaining footprints. Keep this example separate from the limited-clue inference instead of joining them into one event sequence. No identification of a culprit is reported.
Insufficient support and a novel's possibility
「その推論にはまだ確かな根拠が足りない。」 (That inference still lacks firm evidence.) The inference still lacks firm evidence. Limited support does not itself amount to a final determination that the inference is wrong.
The novel is structured so readers can enjoy solving the mystery too. That possibility does not report actual participation or discovery of a culprit. Neither professional status nor a word's name guarantees a correct conclusion.
What overlaps in 推論 and 推理 about a culprit's actions from limited clues or remaining footprints, and how should insufficient evidence be read?
Show the answer and why
Both derive an account of actions from clues. Keep their different clues and sentences separate rather than combining them into one event sequence. An inference lacking firm evidence is insufficiently supported, not necessarily finally judged wrong.

