Bibliographic record
Abstract
Abstract The problems found in Alcuin’s Propositiones bring out what mathematics is all about—a search for hidden pattern in the world. It is the mind-play on this pattern in the problems that establishes Alcuin’s work as a major one in recreational mathematics and mathematics generally. The problems are exploratory “mind experiments” connecting mathematics with events and situations as they characterize everyday life. Robert Sternberg’s triarchic model of puzzle-solving is discussed in this chapter, because it neatly describes how solving math puzzles might unfold in the brain and why they impel us to search for solutions. Interestingly, some of Alcuin’s problems show up in different forms and languages in other parts of the world and at other times, suggesting that they are “archetypes” that transcend space and time. This may be the reason why Alcuin’s book became widely known, and why many of his puzzles continue to find their way into contemporary collections across the world, striking an unconscious chord of understanding.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.013 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.004 | 0.004 |
| Scholarly communication | 0.008 | 0.008 |
| Open science | 0.003 | 0.004 |
| Research integrity | 0.005 | 0.006 |
| Insufficient payload (model declined to judge) | 0.157 | 0.044 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".