RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

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.

84 results for "mathematical games" — page 3 of 5

D_5_04 Verified Sites & Artifacts

D_5_04 — Pythagorean Harmony, Sacred Sound, and the Music of the Spheres

The Pythagorean discovery that musical harmony is governed by simple mathematical ratios (octave = 2:1, fifth = 3:2, fourth = 4:3) is one of the most consequential insights in intellectual history — the first demonstrati

Pythagoras Pythagorean Music of the Spheres harmony of the spheres musica universalis harmonic ratios
B_5_04 Credible Beings & Entities

B_5_04 — Euhemerism and Historical Figures Behind Mythological Beings

Euhemerism is the interpretive method named after Greek mythographer Euhemerus of Messene (~300 BCE), who argued in his Sacred History (Hiera Anagraphe) that the gods of Greek religion were originally human kings and war

euhemerism Euhemerus Sacred History deification ruler cults apotheosis
B_2_24 Credible Beings & Entities

B_2_24 — Wild Man: Feral Human Mythology and Bigfoot Traditions

The Wild Man — a large, hairy, human-like being living in the wilderness beyond civilization's edge — appears in mythologies, folklore, and claimed-sighting reports across every inhabited continent. The earliest fully de

wild man Enkidu Sasquatch Bigfoot yeti yeren
B_2_17 Verified Beings & Entities

B_2_17 — Ancestral Heroes and Demigods: Heracles, Maui, Cú Chulainn

Ancestral heroes and demigods — beings of mixed divine and human parentage, or mortal heroes who achieve quasi-divine status through extraordinary deeds — represent a theological category that mediates between the fully

demigod culture hero Heracles Hercules Maui Cú Chulainn
B_1_06 Verified Beings & Entities

B_1_06 — Inanna / Ishtar — Queen of Heaven and Earth

Inanna (Sumerian: 𒀭𒈹, d.INANNA) / Ishtar (Akkadian: 𒀭𒌋𒁯, d.IŠTAR) is the most important goddess of ancient Mesopotamia — the divine personification of love, sexuality, war, and political power, identified with the planet

Inanna Ishtar Sumerian Akkadian Babylonian Queen of Heaven
ZD_1_03 Verified Information & Computation

ZD_1_03 — Information as Fundamental Reality

Multiple converging lines of evidence suggest information, not matter or energy, may be the most fundamental constituent of reality. From Wheeler's "It from Bit" to the holographic principle (3D reality encoded on 2D bou

information It from Bit Wheeler holographic principle Bekenstein bound Shannon entropy
P_5_01 Credible Philosophy & Meaning

P_5_01 — Is Mathematics Discovered or Invented?

One of the oldest and most consequential questions in philosophy: Does mathematics exist independently of human minds (Platonism), or is it a human invention — a language we construct to describe patterns (formalism/cons

mathematical platonism formalism intuitionism Gödel Wigner unreasonable effectiveness
P_5_05 Verified Philosophy & Meaning

P_5_05 — Philosophy of Language

The philosophy of language asks: How do words and sentences get their meaning? How does language connect to reality? Can thought exist without language? Is meaning determined by the speaker's intention, by social convent

philosophy of language meaning reference sense Frege Russell
P_5_06 Verified Philosophy & Meaning

P_5_06 — Philosophy of Mathematics

The philosophy of mathematics investigates the nature of mathematical objects, the status of mathematical truth, and the relationship between mathematics and the physical world. The fundamental question is: Are mathemati

philosophy of mathematics mathematical realism Platonism mathematics nominalism formalism logicism
F_3_06 Verified Lost Connections

F_3_06 — Shared Flood Myths and Cultural Diffusion

Flood myths — narratives of a catastrophic deluge that destroys most of humanity, typically with a chosen survivor who preserves life — appear across cultures worldwide, from the Epic of Gilgamesh (Tablet XI, Utnapishtim

flood myth deluge Noah Utnapishtim Gilgamesh Atrahasis
I_5_10 Credible UAP Disclosure

I_5_10 — Crop Circles: History, Analysis, and Debunking

Crop circles (or "agriglyphs") are geometric patterns created by the systematic flattening of cereal crops, predominantly wheat, barley, and rapeseed. Although simple circular formations have been reported sporadically s

crop circles crop formations agriglyphs Doug Bower Dave Chorley circlemakers
V_1_13 Verified Mathematics & Information

V_1_13 — Women in Mathematics History

Women have made profound contributions to mathematics throughout history despite systematic exclusion from universities, academies, and professional recognition. Hypatia of Alexandria (c. 350–415 CE), the first well-docu

women mathematics Hypatia Emmy Noether Sophie Germain Ada Lovelace Sofia Kovalevskaya
V_1_11 Verified Mathematics & Information

V_1_11 — Islamic Golden Age Mathematics

Islamic Golden Age mathematics (c. 750–1500 CE) preserved, synthesized, and dramatically extended the mathematical traditions of Greece, India, Persia, and Mesopotamia, creating entirely new fields and transmitting the r

Islamic mathematics al-Khwarizmi algebra algorithm Omar Khayyam cubic equations
V_1_12 Verified Mathematics & Information

V_1_12 — Chinese Mathematics History

Chinese mathematics developed independently over at least 3,000 years, producing remarkable achievements often centuries before their European counterparts. The Jiuzhang Suanshu (Nine Chapters on the Mathematical Art, co

Chinese mathematics Nine Chapters rod calculus counting rods Liu Hui Zu Chongzhi
V_4_04 Verified Mathematics & Information

V_4_04 — Unsolved Problems in Mathematics

Mathematics has always been driven by problems that resist solution — conjectures so deep that their resolution reshapes entire fields. The Clay Mathematics Institute's seven Millennium Prize Problems ($1 million each, a

unsolved problems Millennium Prize Riemann hypothesis P vs NP Navier-Stokes Hodge conjecture
V_4_28 Verified Mathematics & Information

V_4_28 — Game Theory: Strategic Decision-Making and Evolutionary Dynamics

Game theory — the mathematical study of strategic interaction among rational agents — was formalized by John von Neumann and Oskar Morgenstern in Theory of Games and Economic Behavior (1944) and transformed by John Nash'

game theory nash equilibrium prisoner's dilemma evolutionary game theory john von neumann john nash
V_4_01 Verified Mathematics & Information

V_4_01 — Discrete Mathematics and Logic

Discrete mathematics — the study of mathematical structures that are countable, separated, or distinct (as opposed to continuous) — provides the theoretical bedrock for computer science, digital communication, and rigoro

discrete mathematics mathematical logic propositional logic predicate logic set theory Gödel incompleteness
U_5_18 Verified Art, Music & Culture

U_5_18 — Fractals in Art, Music & Mathematical Aesthetics

Fractal geometry is deeply woven into the fabric of human aesthetic experience across cultures and millennia — not as ornament, but as structure. Richard Taylor (University of Oregon) discovered in 1999 that Jackson Poll

fractal art fractal aesthetics Jackson Pollock 1/f music Taylor fractal analysis drip painting
J_5_14 Verified Ancient Technology

J_5_14 — Greek Mathematical Instruments: Precision Tools

Ancient Greek civilization produced the most sophisticated mathematical and scientific instruments of the pre-modern world — devices that embody the Greek integration of theoretical mathematics with practical engineering

Greek instrument Antikythera compass ruler sundial
ZD_5_05 Verified Information & Computation

ZD_5_05 — Formal Methods: Mathematical Verification and Specification of Software

Formal methods are mathematically rigorous techniques for the specification, development, and verification of software and hardware systems — using formal (mathematical) languages to describe system behavior and mathemat

formal methods formal verification model checking theorem proving specification correctness