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.

240 results for "Chinese mathematics" — page 3 of 12

V_1_16 Credible Mathematics & Information

V_1_16 — History of Mathematical Notation: Symbols, Conventions, and Communication

The history of mathematical notation reveals that mathematics is not merely a body of truths but also a system of communication whose power depends critically on the symbols used to express it. Good notation does not mer

mathematical notation mathematical symbols history of mathematics numeral systems algebra notation calculus notation
V_1_20 Credible Mathematics & Information

V_1_20 — The History of Zero: Independent Invention & Philosophical Implications

The concept of zero — seemingly trivial yet profoundly revolutionary — was independently invented multiple times across civilizations, and its full development as both a placeholder (indicating an empty position in posit

zero history-of-mathematics placeholder india maya babylon
V_4_12 Credible Mathematics & Information

V_4_12 — Mathematical Modeling: Abstraction, Validation, and Prediction

Mathematical modeling — the art and science of translating real-world phenomena into mathematical language, analyzing the resulting equations, and interpreting the results back in terms of the original problem — is the p

mathematical modeling abstraction validation prediction simulation differential equations
V_2_22 Verified Mathematics & Information

V_2_22 — Imaginary Numbers: From "Truly Imaginary" to Physically Necessary

In 1545, the Italian mathematician Girolamo Cardano encountered expressions involving the square root of a negative number while solving cubic equations in his Ars Magna. He used the expression — computed with it, obtain

imaginary numbers complex numbers √-1 i Cardano Bombelli
V_2_19 Credible Mathematics & Information

V_2_19 — Category Theory: Abstract Structure, Functors & Topos Theory

Category theory — often called the "mathematics of mathematics" — provides a universal language for describing mathematical structures and the relationships between them, emphasizing morphisms (arrows, maps, transformati

category-theory functor natural-transformation topos-theory saunders-mac-lane samuel-eilenberg
V_2_20 Verified Mathematics & Information

V_2_20 — Gödel's Incompleteness Theorems — Philosophical Implications

Kurt Gödel's incompleteness theorems, published in 1931 in the paper "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I," constitute one of the most profound results in the history of l

Gödel incompleteness undecidability consistency mathematical truth Hilbert program
V_2_08 Verified Mathematics & Information

V_2_08 — Mathematical Proof: History & Philosophy

Mathematical proof — the definitive demonstration that a statement follows necessarily from accepted axioms — is the distinguishing feature of mathematics as a discipline. The axiomatic-deductive method originated with t

mathematical proof axiomatic method Euclid proof by contradiction reductio ad absurdum Four Color Theorem
M_1_11 Credible Forbidden Archaeology

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

Baigong pipes Baigong Mountain Qinghai iron pipes natural formation tree casts
A_4_35 Credible Foundations

A_4_35 — Chinese Millenarian Sacred Texts

Chinese millenarian sacred texts constitute a vast, largely unstudied corpus of sectarian religious literature produced over more than a thousand years (Song dynasty through the 20th century) by heterodox religious movem

China millenarianism White Lotus Maitreya baojuan precious scrolls
A_4_24 Verified Foundations

A_4_24 — Dhammapada: Verses of the Buddhist Path

The Dhammapada ("Verses of the Dharma/Teaching" or "Path of Dharma") is the most widely read and translated text of Theravada Buddhism — a collection of 423 verses in 26 chapters (vagga), presenting the core ethical and

Dhammapada Buddhist scripture Pali Canon Khuddaka Nikaya Theravada verses
A_4_28 Verified Foundations

A_4_28 — Nihon Shoki: Japan's Chronicle of Gods and Sovereigns

The Nihon Shoki (日本書紀, "Chronicles of Japan," also known as Nihongi) is the second-oldest extant Japanese historical text (after the Kojiki, 712 CE), completed in 720 CE under the supervision of Prince Toneri (舎人親王, 676–

Nihon Shoki Nihongi Japanese mythology Amaterasu imperial genealogy kami
A_4_14 Verified Foundations

A_4_14 — Shan Hai Jing (Classic of Mountains and Seas)

The Shan Hai Jing (山海經, "Classic of Mountains and Seas") is one of the most extraordinary texts of the ancient Chinese literary corpus — an encyclopedic compendium of mythological geography, zoology, mineralogy, and cosm

Shan Hai Jing Classic of Mountains and Seas Chinese mythology Kunlun Hundun Bifang
U_5_02 Verified Art, Music & Culture

U_5_02 — Propaganda Art & Political Visual Culture

Art has served as an instrument of political power throughout history, but the 20th century witnessed the industrialization of propaganda aesthetics on an unprecedented scale.

propaganda political art Soviet constructivism Nazi aesthetics Riefenstahl WPA murals
U_2_03 Verified Art, Music & Culture

U_2_03 — Pottery & Ceramics as Cultural Record

Pottery is the most abundant artifact category in archaeological sites worldwide — more pottery sherds have been excavated than any other class of human-made object — making ceramics the foundation of archaeological chro

pottery ceramics Jōmon Lapita Greek vases Chinese porcelain
U_2_11 Credible Art, Music & Culture

U_2_11 — Landscape Painting: Shanshui, Hudson River, and the Natural Sublime

Landscape painting — the artistic representation of natural scenery — is among the most culturally revealing genres in the history of art, because the way a culture depicts nature reveals its deepest assumptions about th

landscape painting shanshui Chinese landscape Hudson River School sublime picturesque
U_4_07 Verified Art, Music & Culture

U_4_07 — Calligraphy & Illuminated Manuscripts

Calligraphy — the art of beautiful writing — elevates script beyond communication into visual art, spiritual practice, and cultural identity marker, and exists as a major tradition in Islamic, East Asian, and Western civ

calligraphy illuminated manuscript Book of Kells Lindisfarne Gospels Arabic calligraphy Chinese calligraphy
X_1_21 Credible Medicine & Healing

X_1_21 — Acupuncture Neuroscience: MRI & Mechanism Studies

Acupuncture — the insertion of thin needles at specific body points — has been practiced in East Asia for over 2,000 years, with the earliest systematic description appearing in the Huangdi Neijing (Yellow Emperor's Clas

acupuncture neuroscience fMRI deqi neuromodulation endorphin
X_1_13 Credible Medicine & Healing

X_1_13 — Indigenous Bone-Setting and Manual Therapy

Bone-setting and manual therapy — the physical manipulation of bones, joints, and soft tissues to treat musculoskeletal injuries and conditions — have been practiced in virtually every known culture throughout human hist

bone-setting manual therapy traditional healing musculoskeletal manipulation folk medicine
W_3_04 Verified World Civilizations

W_3_04 — Swahili Coast — Maritime Trade, City-States, and Cultural Exchange

The Swahili Coast — stretching over 2,000 miles from Mogadishu to Mozambique — was home to a network of prosperous maritime city-states that flourished from the 8th through 16th centuries CE, serving as the western ancho

Swahili Kilwa Zanzibar Mombasa Lamu Indian Ocean trade
W_5_22 Verified World Civilizations

W_5_22 — Uyghur Khaganate

The Uyghur Khaganate (744–840 CE) was a Turkic steppe empire centered in the Orkhon Valley (modern Mongolia) that fundamentally challenged the stereotype of nomadic empires as purely pastoral and destructive. Under Bögü

Uyghur Khaganate Orkhon Valley Manichaeism Turkic steppe Bögü Khagan Ordu-Baliq