Enable Collaboration

Think Collaboratively Through Hierarchies of Thought

We enable strong collaboration by analyzing hierarchies of thought and showing at which levels shared patterns of thinking are strengthened. In this context, the analysis was conducted using the Hugging Face dataset (TimSchopf/arxiv_categories) to examine which layers are primarily used when processing each category.

By analyzing the layers primarily used for each category and then comparing the results across categories, this approach helps identify the stages at which specific concepts show similar patterns in how they are processed, while also revealing which domains function as foundational structures that support broader forms of reasoning.

The results show that all categories, including Classical Physics, Geophysics, Medical Physics, and Theoretical Economics, are concentrated in the earlier layers. A particularly notable pattern appears in General Topology and Data Analysis, where this tendency is even more pronounced. This suggests that these categories are more foundational, abstract, and cross-disciplinary in nature.

General Topology functions as a theoretical mathematical framework underlying many scientific fields, while Data Analysis serves as a broadly applicable methodological framework used across disciplines. Their stronger concentration in the earlier layers indicates that these fields function as conceptual foundations.

Taken together, these findings reveal a hierarchy of concepts in which certain categories provide the basis on which other categories operate. Rather than existing as isolated fields, foundational domains appear to support the structure and development of more specialized areas, offering a clearer view of how knowledge can be organized to enable stronger collaboration.

The details for each level are as follows.

Think Collaboratively Through Hierarchies of Thought

Arxiv categories