RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
3,719 results for "C symmetry" — page 103 of 186
B_1_20 — Trickster Deities: Cross-Cultural Comparison
The trickster is among the most widespread deity archetypes in world mythology, appearing independently across every inhabited continent. Characterized by cunning, boundary-crossing, shapeshifting, and the subversion of
B_3_19 — Mountain and Earth Spirits: Geological Guardians Across Cultures
Mountain and earth spirits — supernatural beings that inhabit, personify, or guard specific geological features — represent one of the most fundamental layers of human religious thought: the conviction that landscape is
B_3_10 — World Tree Guardians and Cosmic Serpents
The World Tree — a colossal tree (or pillar, mountain, or vine) connecting the layers of the cosmos (typically underworld, earth, and heavens) — is one of the most widespread cosmological concepts in human mythology, app
B_3_14 — Four Horsemen and Apocalyptic Entities: End-Time Beings
Apocalyptic entities — supernatural beings associated with the end of the world, the Last Judgment, and the cosmic battle between good and evil — populate the eschatological traditions of virtually every major religion.
B_3_12 — Phoenix and Firebird: Resurrection Bird Across Cultures
The Phoenix — a mythical bird that dies in fire and is reborn from its own ashes — is among the most enduring and widespread symbols of death, regeneration, and immortality in world mythology. The concept appears in dist
B_3_18 — Bull and Auroch Symbolic Typology: From Cave Art to Modern Mythology
The bull/auroch represents one of humanity's most enduring symbolic animals, appearing in cave paintings at Lascaux (c. 17,000 BCE) and Chauvet (c. 36,000 BCE), at the proto-urban sanctuary of Çatalhöyük (c. 7500–5700 BC
B_3_01 — Dynastic Serpent Lineage Claims
Across every inhabited continent except Australia, royal houses claimed literal genealogical descent from serpent, dragon, or reptilian beings. These were not metaphors — they were formal genealogical claims inscribed in
ZD_1_08 — Lambda Calculus and Functional Programming
Lambda calculus, invented by Alonzo Church in the 1930s as a formal system for expressing computation via function abstraction and application, stands alongside Turing machines as a foundational model of computation. Chu
ZD_1_01 — Algorithms, Computation, and the Limits of Knowledge
An algorithm is a finite, unambiguous sequence of instructions for solving a problem — a concept formalized independently by Alan Turing (Turing machine, 1936) and Alonzo Church (lambda calculus) in response to David Hil
ZD_1_06 — Boolean Algebra and Logic Gates: The Mathematics of Digital Systems
Boolean algebra, formalized by George Boole in 1854, reduces logical reasoning to algebraic manipulation of binary values (TRUE/FALSE, 1/0). This seemingly simple mathematical system became the foundation of the entire d
ZD_1_15 — Quantum Information Theory: Entanglement, Quantum Computing, and Information Bounds
Quantum information theory — the study of how information is encoded, processed, communicated, and protected using quantum mechanical systems — represents one of the most transformative intellectual developments at the i
ZD_1_13 — Kolmogorov Complexity and Algorithmic Information Theory
Kolmogorov complexity (also called algorithmic complexity, descriptive complexity, or program-size complexity) — the length of the shortest computer program (on a fixed universal Turing machine) that produces a given str
ZD_1_09 — Conway's Game of Life and Recreational Mathematics
Conway's Game of Life (1970), a two-dimensional cellular automaton devised by mathematician John Horton Conway (1937–2020), stands as perhaps the most famous example of how astonishingly complex behavior can arise from e
ZD_1_07 — Cellular Automata and Rule Systems: Emergence from Simple Rules
Cellular automata (CA) are discrete computational systems where simple local rules applied to a grid of cells generate complex global behavior — demonstrating that complexity can emerge from simplicity without central co
ZD_1_14 — Type Theory: Lambda Calculus, Dependent Types, and the Curry-Howard Correspondence
Type theory is a foundational framework in mathematics, logic, and computer science that classifies values and expressions into types — categories that determine what operations are valid: a natural number can be added t
ZD_1_11 — Turing Machine, Computability, and the Limits of Computation
The Turing machine — a mathematical model of computation defined by Alan Turing in his 1936 paper "On Computable Numbers, with an Application to the Entscheidungsproblem" — is the foundational formalism of theoretical co
ZD_1_05 — Computational Complexity: P vs NP and the Limits of Efficient Computation
Computational complexity theory classifies problems not by whether they can be solved, but by how efficiently they can be solved — and its central open question, P vs NP, is one of the seven Clay Millennium Prize Problem
ZD_1_04 — Coding Theory & Error Correction
Coding theory — the mathematics of reliable communication over unreliable channels — was founded by Claude Shannon (1948), who proved the existence of channel capacity (a maximum rate at which information can be transmit
ZD_3_05 — Compiler Theory and Parsing
Compiler theory — the science of translating high-level programming languages into machine-executable code — is one of the most mathematically rigorous and practically impactful subfields of computer science. Compilers b
ZD_3_15 — Reversible Computing: Landauer's Principle and the Thermodynamics of Computation
Reversible computing — the theory and practice of performing computation without irreversible information loss — sits at the intersection of computer science, thermodynamics, and information theory, centered on the profo
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