Bibliographic record
Abstract
As the title suggests, Professor Zorach is passionate about triangles in the intellectual, theological, philosophical, and visual culture of early modern Europe.Theological concepts like the Trinity were rendered as triangles during this period, and, as we know so well, the triangle shaped theories of vision in relation to linear perspective.This book makes explicit the link between mathematical thinking and the expression of abstract relationships within Christianity.Zorach lays out the terrain using a broad brush, uniting triangular excursions across social, theological, and phenomenological subjectivities.She sets out the general parameters of her study in the introductory chapter, "The Passionate Triangle." Chapter 2 reviews the key tenets of art historical thinking, Renaissance and modern, on theories of perspective in European visual culture before 1450.This chapter makes a convincing argument for the close linkage between the social world of Renaissance artists and their cultural formation in practical geometrical studies.She demonstrates that an artist and theorist like Leon Battista Alberti embraced circumscription, a concept that regulated the correct placement and mathematical measurement of objects, all the while creating powerful fictive illusions of visual reality.The next two chapters focus on the different ways in which the triangle was used to express spiritual geometry.Chapter 3 discusses representations of religious scenes, such as the Annunciation, where a triangular relationship is established between the Virgin Mary, Gabriel, and God the Father, or the familiar image of the three-fold nature of the Christian godhead in the Trinity.Major religious thinkers such as Augustine and Nicholas of Cusa are considered here in relation to the symbolic work of the triangle.Zorach also considers the Trinitarian diagrams created by the sixteenth-century theologian-mathematician Charles de Bovelles.Her classification of diagrams as anti-naturalistic (65) needs further elaboration, given the complexity of epistemic functions and processes evidenced in late medieval and early modern diagrammatic imagery.Chapter 4 evaluates the important role of the triangular compositional arrangement in Renaissance tavole quadrate.Zorach argues for the symbolic use of geometry in many fifteenth-century altarpieces.She also suggests that
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 | 0.006 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.008 | 0.021 |
| Scholarly communication | 0.012 | 0.014 |
| Open science | 0.001 | 0.006 |
| Research integrity | 0.004 | 0.011 |
| Insufficient payload (model declined to judge) | 0.044 | 0.012 |
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".