On Cognitive Foundations and Mathematical Theories of Knowledge Science
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Knowledge is one of the fundamental cognitive objects in the brain among those of data, information, and intelligence. Knowledge can be classified into two main categories, i.e., conceptual knowledge for knowing to-be and behavioral knowledge for knowing to-do, particularly the former. This paper presents a basic study on a mathematical theory of knowledge towards knowledge science. The taxonomy and cognitive foundations of knowledge are explored, which reveal that the basic cognitive structure of conceptual knowledge is a formal concept and that of behavioral knowledge is a formal process. Mathematical models of knowledge are created in order to enable formal representation and rigorous manipulation of knowledge. A set of formal principles and properties of knowledge is elicited and elaborated towards the development of knowledge science and cognitive knowledge systems. It is discovered that the basic unit of knowledge is a binary relation, shortly bir, as a counterpart of bit (a binary digit) for information and data.
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.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it