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.

26 results for "posterior probability" — page 1 of 2

V_4_25 Verified Mathematics & Information

V_4_25 — Bayesian Inference: Probability as Rational Belief Updating

Bayesian inference — the mathematical framework for updating beliefs in light of evidence using Bayes' theorem — has become one of the most powerful and contested ideas in modern science. Named after Reverend Thomas Baye

bayesian inference bayes theorem prior probability posterior probability likelihood bayesian statistics
G_2_03 Verified Modern Frameworks

G_2_03 — Bayesian Reasoning and Archaeological Inference

Bayesian reasoning — the systematic updating of probabilities for hypotheses as new evidence is acquired — has transformed archaeology, chronology, and the evaluation of disputed historical claims since the 1990s. At its

Bayesian inference Bayes theorem prior probability posterior likelihood radiocarbon calibration
V_3_21 Verified Mathematics & Information

V_3_21 — Bayesian Statistics Revolution

Bayesian statistics — the framework for updating probability estimates as new evidence is acquired, grounded in Bayes' theorem — has undergone a dramatic resurgence since the late 20th century, transforming from a margin

Bayesian statistics Bayes theorem prior probability posterior Thomas Bayes Laplace
E_4_25 Verified Cataclysms & Chronology

E_4_25 — Bayesian Age Modeling: Statistical Frameworks for Archaeological Chronology

Bayesian age modeling — the application of Bayesian statistical inference to combine radiocarbon dates with prior archaeological knowledge (stratigraphy, typology, historical constraints) to produce refined chronological

Bayesian chronology radiocarbon calibration OxCal prior probability posterior probability Buck
V_4_27 Verified Mathematics & Information

V_4_27 — Bayesian Inference: Probabilistic Reasoning from Bayes to Machine Learning

Bayesian inference — the mathematical framework for updating beliefs in light of evidence — has become the dominant paradigm in statistics, machine learning, cognitive science, and philosophy of science. Named after Reve

bayesian inference bayes theorem probability prior posterior machine learning
V_4_03 Verified Mathematics & Information

V_4_03 — Geometric Probability and Buffon's Needle

Geometric probability assigns probabilities to random geometric events — needle drops, random points in regions, random lines intersecting figures — formalizing questions that blend chance with spatial structure. Buffon'

geometric probability Buffon needle Bertrand paradox integral geometry stochastic geometry random convex sets
V_3_01 Verified Mathematics & Information

V_3_01 — Statistics & Probability: Pascal to Bayes

Probability and statistics — the mathematics of uncertainty — emerged as formal disciplines from the Pascal-Fermat correspondence (1654) on the "problem of points" (how to divide stakes in an interrupted game of chance),

statistics probability Pascal Fermat Bayes Bernoulli
V_3_14 Credible Mathematics & Information

V_3_14 — Stochastic Processes: Random Walks, Markov Chains, and Brownian Motion

Stochastic processes — mathematical models of systems evolving randomly over time — provide the essential framework for understanding phenomena where uncertainty is intrinsic: the jittery motion of pollen grains in water

stochastic processes random walk Markov chain Brownian motion Wiener process Poisson process
U_3_11 Verified Art, Music & Culture

U_3_11 — Board Games and Games of Strategy

Board games — structured games played on a marked surface (board) with pieces, dice, cards, or tokens according to defined rules — are among the oldest and most culturally revealing human artifacts. Ancient games: the Ro

board games chess Go backgammon Senet Mancala
K_1_03 Verified Consciousness

K_1_03 — Free Energy Principle and Predictive Processing

The Free Energy Principle (FEP), developed by neuroscientist Karl Friston (2006-present), is one of the most ambitious theoretical frameworks in 21st-century science: it attempts to explain the EXISTENCE, BEHAVIOR, and C

free energy principle FEP Karl Friston predictive processing predictive coding active inference
K_1_06 Credible Consciousness

K_1_06 — Predictive Processing and Consciousness

Predictive processing (PP) is a unifying framework in cognitive neuroscience proposing that the brain is fundamentally a prediction machine — it continuously generates top-down predictions of incoming sensory input and u

predictive processing predictive coding Bayesian brain Karl Friston Andy Clark Jakob Hohwy
K_2_03 Credible Consciousness

K_2_03 — Neural Correlates of Consciousness

The neural correlates of consciousness (NCC) are the minimal neuronal mechanisms jointly sufficient for any one specific conscious experience. The systematic search for NCCs was launched by Francis Crick and Christof Koc

neural correlates of consciousness NCC Francis Crick Christof Koch visual awareness binocular rivalry
K_2_11 Verified Consciousness

K_2_11 — Default Mode Network: Brain at Rest and Self-Referential Consciousness

The Default Mode Network (DMN) is a large-scale brain network that is most active when a person is not focused on the external environment — during mind-wandering, daydreaming, self-referential thought, autobiographical

default mode network DMN resting state self-referential mind-wandering autobiographical memory
K_5_13 Credible Consciousness

K_5_13 — Integrated World Models: Bayesian Brain and Consciousness

The Bayesian brain hypothesis proposes that the brain is fundamentally a prediction machine — it constructs and maintains internal generative models of the world (including the body), uses these models to generate predic

Bayesian brain predictive processing predictive coding free energy principle Friston Helmholtz
ZG_4_07 Verified Linguistics & Communication

ZG_4_07 — Constructed Languages — Esperanto, Tolkien, and Beyond

Constructed languages (conlangs) are languages deliberately designed by individuals or groups rather than having evolved naturally — they range from international auxiliary languages (IALs) designed to facilitate cross-c

constructed language conlang Esperanto Zamenhof Tolkien Elvish
O_1_02 Verified Earth Anomalies

O_1_02 — Magnetosphere, Solar Activity, and Earth's Shield

Earth's magnetic field is an invisible shield that makes complex life on the surface possible — without it, solar wind would strip away the atmosphere and sterilize the planet, as happened to Mars ~3.8 billion years ago

magnetosphere geomagnetic magnetic field solar wind coronal mass ejection CME
ZD_1_13 Verified Information & Computation

ZD_1_13 — Kolmogorov Complexity and Algorithmic Information Theory

Kolmogorov complexity (also called algorithmic complexity, descriptive complexity, or program-size complexity) — the length of the shortest computer program (on a fixed universal Turing machine) that produces a given str

Kolmogorov complexity algorithmic information theory algorithmic randomness incompressibility minimal description length Solomonoff
P_1_20 Credible Philosophy & Meaning

P_1_20 — Epistemology & Theory of Knowledge

Epistemology — the branch of philosophy concerned with the nature, sources, structure, and limits of knowledge — is one of the oldest and most persistent areas of philosophical inquiry. The central question "What can we

epistemology justified true belief Gettier problem empiricism rationalism foundationalism
R_3_07 Verified Biology & Evolution

R_3_07 — Embryology and Morphogenesis: How Bodies Take Shape

Embryology — the study of how a single fertilized cell becomes a complex multicellular organism — is one of biology's most profound mysteries. From the discovery by Karl Ernst von Baer (1828) that embryos of different sp

embryology morphogenesis gastrulation body plan Hox genes morphogen gradient
ZA_1_06 Verified Physics & Quantum

ZA_1_06 — Quantum Tunneling: Traversing the Classically Forbidden

Quantum tunneling is the phenomenon where particles traverse energy barriers that classical physics strictly forbids — a direct consequence of quantum mechanics' wave-like description of matter. First explained by George

quantum tunneling barrier penetration wave function probability amplitude alpha decay Gamow