محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Recurso digital |
| اللغة: | |
| منشور في: |
Zenodo
2026
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.5281/zenodo.19639631 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
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جدول المحتويات:
- The complete discovery catalogue from the first autonomous structural analysis of pure mathematics. Using Gnosis AI — an autonomous knowledge discovery system implementing Convergent Descent — we surveyed 77 established results across five fields of mathematics (topology and geometry, algebraic geometry, category theory, number theory, and analysis), then systematically compared every pair of fields for structural convergences. The system found 30 validated cross-domain convergences spanning all 10 possible domain pairs. Thematic analysis reveals four structural principles — local-global determination, relational structure primacy, universal duality, and rigidity-canonicity — that unify the 30 discoveries. These four principles reduce through meta-convergence to a terminal fixed point: Reality is constraint. The analysis ran autonomously in 18 minutes at a cost of $1.81.