Warping Waldseemüller: A Phenomenological and Computational Study of the 1507 World Map
Bibliographic record
Abstract
The 1507 World Map by Martin Waldseemüller shows, for the first time, a depiction of the New World as a separate landmass detached from Asia. This study compares the outline of South America on the Waldseemüller map using several related computational methods. First, the projection is analysed, modelled, and compared with the modern outline of South America, which is found to be tantalizingly similar in form and location to the 1507 representation. Second, polynomial warping algorithms of the second order are applied to the world map and spatial interpolations are carried out. The newly produced regression surfaces and curves are analysed for inflection-point behaviour, and global and local correlation coefficients are calculated to give some indication of the geometric similarity between the 1507 and modern forms. The shape and location of the South American continent on the 1507 map is chronometrically problematic, since neither Balboa nor Magellan had reached the Pacific Ocean by this time. The study concludes that, based on these interpolations, it is probable that Waldseemüller had geographic information that is no longer extant or has yet to be discovered for his 1507 portrayal of the New World.
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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 | 0.001 | 0.006 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.008 |
| Scholarly communication | 0.003 | 0.006 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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".