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.

163 results for "proof by contradiction" — page 8 of 9

ZA_5_22 Verified Physics & Quantum

ZA_5_22 — Ionizing Radiation: Physics, Biological Effects, and Applications

Ionizing radiation — electromagnetic waves or particles with sufficient energy (>10 eV) to remove electrons from atoms — was discovered in the final years of the 19th century through a rapid sequence of breakthroughs: Wi

ionizing radiation radioactivity alpha particles gamma rays X-rays DNA damage
ZA_4_16 Verified Physics & Quantum

ZA_4_16 — Semiconductor Physics: Band Theory, Transistors, and Modern Electronics

Semiconductor physics — the study of materials with electrical conductivity between that of conductors and insulators — underpins virtually all modern electronic technology. The development of band theory by Felix Bloch

semiconductor transistor band gap silicon germanium p-n junction
ZA_4_04 Verified Physics & Quantum

ZA_4_04 — Plasma Physics: The Fourth State of Matter

Plasma — ionized gas in which electrons are stripped from atoms — constitutes over 99% of the visible matter in the universe. Stars, nebulae, the interstellar medium, lightning, and the solar wind are all plasmas. Unlike

plasma fourth state of matter ionization Debye shielding Debye length magnetohydrodynamics
ZA_3_10 Verified Physics & Quantum

ZA_3_10 — Muon Anomalous Magnetic Moment

The anomalous magnetic moment of the muon ($a_\mu = (g-2)/2$) is one of the most precisely measured quantities in particle physics and one of the most sensitive probes for physics beyond the Standard Model. Every charged

muon g-2 anomalous magnetic moment g minus 2 Fermilab Brookhaven Standard Model
I_3_02 Credible UAP Disclosure

I_3_02 — UAP & Nuclear Facilities Connection

A persistent pattern across decades and nations links UAP activity to nuclear installations — weapons storage, ICBM launch facilities, nuclear test sites, and reactor complexes. Robert Hastings documented 180+ military w

UFO nuclear Malmstrom AFB ICBM shutdown Hastings Salas nuclear weapons
V_1_05 Verified Mathematics & Information

V_1_05 — Ancient Number Systems & Gematria

Every literate civilization developed a number system, and the diversity of these systems reveals both universal mathematical needs and culturally specific solutions.

number systems gematria Babylonian base-60 sexagesimal Egyptian fractions Rhind Papyrus
V_1_10 Verified Mathematics & Information

V_1_10 — Ancient Greek Mathematics

Ancient Greek mathematics (c. 600 BCE – 500 CE) transformed mathematics from a collection of empirical recipes into a deductive science built on axioms, definitions, and rigorous proof. Thales of Miletus (c. 624–546 BCE)

Greek mathematics Euclid Elements Pythagoras Archimedes Thales
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_1_18 Credible Mathematics & Information

V_1_18 — Ethnomathematics: Mathematics Across Cultures

Ethnomathematics — the study of mathematical ideas, methods, and practices developed by cultural groups outside the Western academic tradition — was formalized as a field by Ubiratan D'Ambrosio (Brazil, 1985), who argued

ethnomathematics indigenous-mathematics quipu ishango-bone sand-drawing sona
V_1_07 Verified Mathematics & Information

V_1_07 — Mathematical Astronomy: Ptolemy to Kepler

Mathematical astronomy — the use of mathematical models to predict celestial phenomena — is one of the oldest and most successful applications of mathematics. Babylonian astronomers (c. 1800–100 BCE) developed sophistica

mathematical astronomy Ptolemy Almagest Copernicus Kepler ellipse
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_21 Verified Mathematics & Information

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

cryptography RSA elliptic curve Diffie-Hellman public key symmetric encryption
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
V_2_16 Verified Mathematics & Information

V_2_16 — Analytic Number Theory

Analytic number theory applies the methods of mathematical analysis — complex analysis, Fourier analysis, probability, and asymptotic estimation — to study the distribution and properties of integers, especially prime nu

analytic number theory Riemann zeta function prime number theorem Dirichlet series L-functions Riemann hypothesis
V_2_04 Verified Mathematics & Information

V_2_04 — Geometry: Euclid to Non-Euclidean Revolution

Euclid's Elements* (c. 300 BCE, Alexandria) is the most influential textbook in human history — the second most printed book after the Bible — establishing the axiomatic method** (definitions, postulates, common notions

geometry Euclid Elements axiom parallel postulate Lobachevsky
V_2_15 Verified Mathematics & Information

V_2_15 — Galois Theory and Field Extensions

Galois theory, developed by Évariste Galois (1811-1832) in the last years of his tragically short life, is one of the great triumphs of abstract algebra — a theory connecting field extensions to group theory that definit

Galois theory field extension polynomial roots solvability by radicals quintic equation group theory

MASTER THEORY RANKING & AI PREDICTIVE PROOFS

ZH_1_20 Credible Archaeoastronomy

ZH_1_20 — Egyptian Decans & Star Clocks: Timekeeping by the Night Sky

The Egyptian decan system — a method of dividing the night sky into 36 stellar groups (decans) whose sequential heliacal risings (first visible appearance on the eastern horizon just before sunrise) marked ten-day period

decan egyptian-astronomy star-clock diagonal-star-table coffin-texts-astronomy heliacal-rising
Z_4_14 Verified Molecular Biology

Z_4_14 — RNA Interference: Gene Silencing by Small RNAs

RNA interference (RNAi) — the process by which small double-stranded RNA molecules silence gene expression by targeting complementary messenger RNA (mRNA) for degradation or translational repression — is one of the most

RNA interference RNAi siRNA miRNA gene silencing Fire
Verified

INTERDOC_47 — Islamic Institutional Suppression: A Comprehensive Timeline of Knowledge Control By and Against the Muslim World

Suppression events in this timeline are categorized by mechanism: S-active (deliberate targeted action by an identifiable actor — book burnings, executions, physical destruction), S-structural (institutional gatekeeping

Islam suppression iconoclasm Quran standardization Uthman Nalanda