RESEARCH BASE
Search 3,717 documents across 34 fields — every claim tier-rated by evidence
196 results for "Islamic mathematics" — page 3 of 10
INTERDOC_29 — Sacred Number, Geometry, and Architecture
The golden ratio (φ = 1.6180339...) — defined as the ratio where the whole is to the larger part as the larger part is to the smaller — appears in: the Parthenon façade (debated — Markowsky, 1992, argues the measurements
Y_3_12 — Whirling Dervishes: Sufi Sema Ceremony and Rotational Consciousness
The whirling dervishes — practitioners of the sema (or sama) ceremony of the Mevlevi order — are among the most recognizable embodiments of Sufi mysticism: figures in tall camel-hair hats (sikke) and flowing white skirts
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
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
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
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
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
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
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
U_3_15 — Religious Iconography Systems: Visual Theology Across Civilizations
Religious iconography — the visual systems through which religious traditions communicate theological concepts, sacred narratives, ritual knowledge, and cosmological frameworks — is among the most vast and culturally com
U_3_07 — Paper and Papermaking Traditions
Paper — a matted sheet of plant fibers — is one of civilization's most transformative inventions, enabling the preservation and dissemination of knowledge at scales impossible with earlier writing surfaces. Pre-paper wri
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
U_2_07 — Mosaic and Tile Art
Mosaic — images or patterns created from small pieces (tesserae) of stone, glass, ceramic, or other materials set in mortar — is one of the most durable art forms, with surviving examples spanning 4,000+ years. Origins:
U_4_12 — Iconography and Religious Art
Iconography — the study and production of religious and symbolic imagery — and religious art broadly represent perhaps the single largest category of artistic production in human history. Theoretical framework: Erwin Pan
ZH_4_08 — Lunar Calendars: Tracking the Moon Across Cultures
Lunar calendars — systems of timekeeping governed by the synodic month (the ~29.53-day cycle from new moon to new moon) — represent humanity's oldest systematic method of measuring time. Evidence from the Lascaux cave pa
ZH_3_01 — Maya Astronomical Science: Venus Tables, Eclipse Cycles
The ancient Maya (c. 2000 BCE–1500 CE, with the Classic period c. 250–900 CE) developed one of the most sophisticated astronomical traditions of the pre-modern world — rivaling and in some respects exceeding Babylonian m
ZH_5_15 — Astronomical Symbolism: Stars, Crescents, and Suns in Heraldry and Currency
Astronomical symbols — stars, crescents, and suns — are among the most universal and enduring elements in human visual culture, appearing on the flags of over 70 nations, on coinage from the earliest electrum staters of
ZH_2_10 — Astronomical Alignments in Medieval Architecture: Cathedrals and Mosques
Medieval cathedrals and mosques — two of the most ambitious architectural traditions in history — both incorporate astronomical considerations into their design, though in different ways and for different reasons. Christ
ZH_1_08 — Sundials, Gnomons, and Ancient Timekeeping Devices
The gnomon — a vertical stick, pillar, or edge that casts a shadow — is arguably the oldest scientific instrument in human history, requiring nothing more than a straight object placed in sunlight to measure time, determ
C_4_11 — Berber/Amazigh Mythology and North African Traditions
The Amazigh (Berber) peoples represent one of North Africa's oldest continuous cultural traditions, with the Tamazight language family classified within the Afro-Asiatic phylum and archaeological presence documented acro
BROWSE BY SECTION — 3717 documents across 34 fields