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.
438 results for "mathematical logic" — page 19 of 22
V_1_19 — Non-Western Mathematical Traditions
The standard Eurocentric narrative of mathematics — from Greek geometry to the European Scientific Revolution — obscures the fact that many foundational mathematical innovations originated in India, China, the Islamic wo
V_1_04 — Sacred Geometry — Mathematical Patterns in Ancient Design
Sacred geometry refers to the attribution of symbolic, cosmological, or divine meaning to geometric forms and mathematical ratios — a practice documented in ancient Egyptian, Greek, Islamic, Hindu, Buddhist, and medieval
V_4_21 — Cryptography & Mathematical Foundations
Cryptography — the science of secure communication — rests on some of the deepest results in number theory, algebra, and computational complexity. Modern public-key cryptography was born in 1976 when Whitfield Diffie and
V_4_20 — Hypercomputation & Beyond-Turing Models
Hypercomputation refers to any model of computation that can solve problems beyond the theoretical capabilities of standard Turing machines — the abstract devices defined by Alan Turing in his landmark 1936 paper "On Com
V_4_23 — Shannon Information Theory: Entropy, Communication, and the Mathematical Theory of Information
Claude Elwood Shannon (1916–2001) published "A Mathematical Theory of Communication" in the Bell System Technical Journal in July and October 1948, founding the field of information theory. Shannon defined information qu
M_4_12 — Pre-Clovis Sites Compilation: Monte Verde to Cerutti Mastodon
For most of the 20th century, the "Clovis First" paradigm held that the first humans to enter the Americas were the bearers of the Clovis culture — characterized by distinctive fluted stone points — who arrived via the i
M_1_11 — Baigong Pipes: Natural Formation or Anomalous Technology?
The Baigong pipes (also called the "Baigong alien ruins") are a collection of pipe-like iron-rich structures found in and around three caves on Mount Baigong (also transliterated Bai Gong Shan), near Delingha in the remo
A_2_14 — Emerald Tablet: Tabula Smaragdina and Alchemical Foundation
The Emerald Tablet (Tabula Smaragdina) is a short cryptic text — ranging from 12 to 15 lines depending on the version — attributed to the legendary Hermes Trismegistus ("Thrice-Great Hermes") that became the foundational
U_3_19 — Ancient Tattooing Traditions
Tattooing is one of the oldest and most universal forms of human body modification, with archaeological evidence spanning at least 5,300 years and ethnographic documentation across every populated continent. The oldest k
U_2_18 — Islamic Geometric Art & Calligraphy
Islamic geometric art represents one of humanity's most sophisticated achievements in mathematical pattern-making, developed over a millennium across an artistic tradition stretching from Spain to Central Asia. Constrain
ZH_0_00 — Archaeoastronomy & Celestial Knowledge: Section Summary
ZH_2_02 — Indian Astronomical Traditions: Aryabhata to Jantar Mantar
Indian astronomy (Jyotish Shastra) constitutes one of the most mathematically sophisticated astronomical traditions of the pre-modern world, spanning from the Vedic period (c. 1500–500 BCE) through the classical siddhānt
ZH_2_16 — Islamic Astronomical Tables (Zīj): Precision Observation and Computational Tradition from Baghdad to Samarkand
The zīj (Arabic: زيج, plural zījāt) is the Islamic astronomical handbook tradition — comprehensive sets of numerical tables and computational instructions enabling astronomers to calculate the positions of the Sun, Moon,
ZH_2_03 — Islamic Golden Age Astronomy: Observatories and Star Catalogs
Islamic astronomy (c. 750–1500 CE) represents one of the most productive and sophisticated periods in the history of astronomical science — a sustained tradition of observation, mathematical innovation, and critical enga
ZH_2_00 — Asian Islamic Indian: Subfolder Summary
ZH_1_07 — Antikythera Mechanism: World's First Astronomical Computer
The Antikythera mechanism is a corroded mass of bronze gears and inscribed plates recovered in 1901 from an ancient shipwreck off the Greek island of Antikythera, dated to approximately 60–70 BCE (though the mechanism it
C_1_18 — The Wise Old Man / Mentor Archetype: Cross-Cultural Analysis
The Wise Old Man / Mentor archetype — identified by Carl Jung as the Senex or Mana personality — represents one of the most consistent character patterns in world mythology and narrative tradition. This figure appears as
C_3_15 — The Labyrinth as Ritual Pathway: From Minoan Crete to Modern Practice
The labyrinth is one of humanity's most enduring symbols, with examples spanning from Bronze Age Cretan coins (c. 1200 BCE) to Scandinavian stone labyrinths, medieval cathedral floor designs, and contemporary therapeutic
K_1_17 — Integrated Information Theory: Phi, Axioms & Empirical Tests
Integrated Information Theory (IIT), developed primarily by Giulio Tononi (University of Wisconsin–Madison) from 2004 to the present, proposes that consciousness is identical to integrated information — a quantity denote
K_4_17 — Plant and Fungal Consciousness: Intelligence without Neurons
The question of whether plants and fungi possess forms of consciousness, intelligence, or cognition has moved from philosophical speculation to active scientific investigation. Plants exhibit sophisticated information pr
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