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.

1,346 results for "foundations of mathematics" — page 64 of 68

ZG_3_10 Verified Linguistics & Communication

ZG_3_10 — Semantics: Meaning, Reference, and Compositional Analysis

Semantics — the branch of linguistics concerned with meaning — investigates how words, phrases, and sentences encode and convey meaning, how meanings combine compositionally, and how linguistic meaning relates to the wor

semantics meaning reference sense denotation connotation
ZG_3_00 Linguistics & Communication

ZG_3_00 — Linguistic Theory Structure: Subfolder Summary

ZG_3_18 Credible Linguistics & Communication

ZG_3_18 — Pragmatics and Speech Act Theory

Pragmatics — the study of how context contributes to meaning beyond what is encoded in the literal words of an utterance — and speech act theory — the analysis of language as a form of action — have been foundational to

pragmatics speech-act-theory john-austin john-searle grice conversational-implicature
J_1_08 Verified Ancient Technology

J_1_08 — Ancient Optics, Lenses, and Light Technology

Ancient civilizations possessed a greater understanding of optics and light than is commonly recognized. Archaeological evidence includes polished crystal lenses (the Nimrud lens, ~750 BCE; Visby lenses, ~11th c. CE), so

ancient optics Nimrud lens Layard lens Visby lens Viking lens Roman lens
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
J_5_06 Verified Ancient Technology

J_5_06 — Ancient Measurement Standards and Metrology

Standardized measurement — of length, weight, volume, area, and angle — was fundamental to ancient engineering, trade, taxation, land surveying, and astronomical observation. Every major civilization developed metrologic

metrology measurement royal cubit stade stadion balance
J_5_00 Ancient Technology

J_5_00 — Navigation Measurement Regional: Subfolder Summary

Q_1_11 Verified Cosmology & Physics

Q_1_11 — Cosmological Redshift and the Hubble Law

The discovery that distant galaxies' light is systematically shifted toward longer (redder) wavelengths was the first observational evidence that the universe is expanding. Vesto Slipher's spectroscopic measurements (191

cosmological redshift Hubble law Hubble constant expanding universe Vesto Slipher Edwin Hubble
Q_3_03 Verified Cosmology & Physics

Q_3_03 — Exoplanets, Habitable Zones, and the Search for Life

The discovery of exoplanets — worlds orbiting stars other than the Sun — has transformed astronomy from a field where planets were known only in our solar system to one cataloging over 5,700 confirmed exoplanets as of 20

exoplanets habitable zone Kepler mission TRAPPIST-1 51 Pegasi b hot Jupiters
Q_0_00 Cosmology & Physics

Q_0_00 — Cosmology & Astrophysics: Section Summary

Verified

INTERDOC_60 — AI Consciousness and Moral Status: The Triadic Framework

As AI systems cross behavioral thresholds once considered markers of intelligence — passing bar exams at the 90th percentile (GPT-4, March 2023), solving protein folding (AlphaFold2, 2020), exhibiting emergent reasoning

artificial consciousness moral status IIT phi global workspace theory alignment problem phenomenal experience
Verified

INTERDOC_53 — Substrate-Independent Information Patterns: Empirical Cases

A pattern is empirically substrate-independent if the same information content is preserved across changes in the physical material carrying it. Across multiple domains, biology and physics provide concrete instances of

substrate independence information theory bioelectric memory planarian regeneration prion proteins epigenetic inheritance
G_4_26 Credible Modern Frameworks

G_4_26 — Consciousness-Technology Integration

The intersection of consciousness studies and technology represents one of the most consequential frontiers of 21st-century science and philosophy. Brain-computer interfaces (BCIs), pioneered by researchers from Jacques

consciousness-technology brain-computer-interface neural-prosthetics transhumanism mind-uploading extended-mind
G_3_19 Credible Modern Frameworks

G_3_19 — Hermeneutics: Interpretive Frameworks for Ancient Texts

Hermeneutics — the theory and methodology of interpretation — provides the foundational framework for understanding ancient texts, inscriptions, and symbolic systems. Originating in biblical exegesis and classical philol

hermeneutics interpretation-theory gadamer schleiermacher ricoeur hermeneutic-circle
G_3_24 Credible Modern Frameworks

G_3_24 — Post-Normal Science: Funtowicz, Ravetz, and Uncertainty

Post-normal science (PNS) is a framework for understanding and managing scientific inquiry when facts are uncertain, values in dispute, stakes high, and decisions urgent — conditions that characterize many of the most cr

post-normal science Funtowicz Ravetz uncertainty decision stakes extended peer community
G_2_07 Verified Modern Frameworks

G_2_07 — Power Laws, Scale-Free Networks, and Ancient Systems

A power law is a mathematical relationship of the form $P(x) \propto x^{-\alpha}$ in which the frequency of an event is inversely proportional to some power of its size — meaning that small events are extremely common, l

power law scale-free network Zipf's law Pareto distribution preferential attachment Barabási
G_2_05 Verified Modern Frameworks

G_2_05 — Graph Theory and Knowledge Network Analysis

Graph theory — the mathematical study of networks of nodes (vertices) connected by edges (links) — provides a rigorous framework for analyzing the structure of connections in systems ranging from ancient social hierarchi

graph theory network analysis knowledge graphs small world scale-free Euler
G_2_00 Modern Frameworks

G_2_00 — Analytical Computational: Subfolder Summary

B_1_20 Credible Beings & Entities

B_1_20 — Trickster Deities: Cross-Cultural Comparison

The trickster is among the most widespread deity archetypes in world mythology, appearing independently across every inhabited continent. Characterized by cunning, boundary-crossing, shapeshifting, and the subversion of

trickster-deity loki anansi coyote hermes sun-wukong
ZD_1_12 Verified Information & Computation

ZD_1_12 — Information Geometry and Fisher Information

Information geometry is the mathematical field that applies differential geometry — the mathematics of curved spaces, manifolds, metrics, and connections — to the study of probability distributions and statistical models

information geometry Fisher information statistical manifold Riemannian geometry metric tensor natural gradient