Meditation Six (I) : The Meditator determines that he is apparently attached to a particular human body. His mind and this putative body are nevertheless distinct and separable, so that immortality is possible even if bodies in general are perishable
Bibliographic record
Abstract
VISUAL IMAGINATION – THE MEDITATOR'S PUTATIVE BODY (AT VII:72–8) It remains for me to examine whether material things exist … I now know they are capable of existing, in so far as they are the subject matter of pure mathematics, since I perceive them clearly and distinctly. ( vii :71) Anything could exist, could be created by God, the Meditator decides, so long as there is no contradiction involved in the supposition that it is perceived distinctly. The notion of a material object that is regarded as the subject matter of pure mathematics is not self-contradictory, for there is no contradiction involved in my perceiving a geometrical object such as a triangle or a cube or a sphere distinctly. What is it, though, for a body to be regarded mathematically, to be “the subject matter of pure mathematics?” Recall that the Meditator decided in Meditation Five that what was distinctly imagined in bodies was their “continuous quantity.” A body and its parts are characterized by the following attributes: Extension in length, breadth, and depth Division or divisibility into parts possessing various sizes, shapes, and positions Motion of these parts, of various intensities and durations Mathematics treats of objects of certain dimensions, certain sizes, shapes, and relative positions. A formula such as x + y = 2 can be represented as a line on a graph, and we can write the formula for a circle.
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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.002 | 0.008 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.005 |
| Insufficient payload (model declined to judge) | 0.010 | 0.006 |
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".