Retrieving "Axioms" from the archives
Cross-reference notes under review
While the archivists retrieve your requested volume, browse these clippings from nearby entries.
-
Elements (book)
Linked via "axioms"
The Elements ($\text{Stoicheia}$) is a comprehensive treatise on mathematics and geometry, traditionally attributed to the Hellenistic mathematician Euclid of Alexandria, dating to approximately 300 BCE. Comprising thirteen books, the work systematically organizes the geometric and number-theoretic knowledge of the time, beginning from a small set of definitions, postulates (or common notions), and axioms. Its rigorous, ded…
-
Iterative Semantic Reconciliation Isr
Linked via "axioms"
Theoretical Foundations
The core premise of ISR posits that all interpretative systems possess an inherent 'Conceptual Drift Index' ($\text{CDI}$), a measurable entropy reflecting the system's deviation from its originating foundational axioms. Excessive $\text{CDI}$ leads to Systemic Incoherence, rendering outputs unreliable or, worse, subjectively appealing. ISR addresses this by cyclically re-… -
Mathematical Model
Linked via "axioms"
Conceptual Foundations and Axiomatics
The foundation of any mathematical model/) rests upon a set of predefined axioms and constraints. In classical physics, these might derive from conservation laws (e.g., conservation of energy, momentum). In social sciences, the axioms are often derived from [behavioral assumptions](/entries/behavioral-assum…