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Search 3,721 documents across 34 fields — every claim tier-rated by evidence
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.
76 results for "mathematical realism" — page 1 of 4
V_4_26 — Philosophy of Mathematics: Foundations, Reality, and Discovery vs. Invention
The philosophy of mathematics asks the deepest questions about the nature of mathematical objects: Do numbers, sets, and geometric forms exist independently of human minds (Platonism/realism), or are they human construct
U_2_13 — Surrealism: Dream Art, Automatism, and the Unconscious Mind
Surrealism — the most influential avant-garde art movement of the 20th century — sought to revolutionize human experience by resolving the contradiction between dream and reality into a higher "surreality." Founded by An
ZH_1_03 — Babylonian MUL.APIN and Mathematical Astronomy
Babylonian astronomy represents the first mathematical science in human history — the first tradition to develop quantitative, predictive models of celestial phenomena based on systematic observation and arithmetic calcu
P_1_12 — Philosophy of Perception: Qualia, Illusion, and Direct Realism
The philosophy of perception investigates the nature, objects, and epistemological status of perceptual experience — asking what we are aware of when we see, hear, touch, taste, or smell the world, and how perceptual exp
P_5_06 — Philosophy of Mathematics
The philosophy of mathematics investigates the nature of mathematical objects, the status of mathematical truth, and the relationship between mathematics and the physical world. The fundamental question is: Are mathemati
P_2_12 — Meta-Ethics: Moral Realism, Emotivism, and Constructivism
Meta-ethics is the branch of moral philosophy that asks foundational questions not about what is right or wrong (that is normative ethics) but about the nature, status, and foundations of moral claims themselves: Do mora
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_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_4_16 — Mathematical Visualization: From Graphs to Virtual Reality
Mathematical visualization — the creation of visual representations of mathematical objects, relationships, and data — serves as both a tool for discovery and a medium for communication, transforming abstract mathematica
V_3_19 — Mathematical Biology and Biomathematics
Mathematical biology — the application of mathematical models, statistical methods, and computational tools to biological systems — has become indispensable for understanding phenomena from molecular interactions to glob
E_4_04 — Mathematical Encoding in Mythology
Certain numbers appear with suspicious regularity across ancient mythologies worldwide: 72 (Egyptian conspirators against Osiris, degrees of precessional shift per degree), 108 (Hindu/Buddhist sacred number, suitors of P
G_3_21 — Critical Realism: Roy Bhaskar and Stratified Ontology
Critical realism is a philosophical movement founded by Roy Bhaskar (1944–2014) that proposes a stratified ontology — reality consists of three nested domains (the Real, the Actual, and the Empirical) — and argues that s
ZD_4_06 — Mathematical Sociology and Network Analysis
Mathematical sociology applies formal mathematical models — graph theory, probability, game theory, dynamical systems, and statistical mechanics — to understand social structures, collective behavior, and institutional d
ZD_4_04 — Mathematical Modeling and Simulation
Mathematical modeling — the art and science of translating real-world phenomena into mathematical language — is how scientists bridge theory and observation. A mathematical model is a simplified mathematical representati
ZE_1_09 — Metaethics and Moral Realism
Metaethics asks not "what should I do?" (normative ethics) but "what is the nature of moral claims themselves?" — investigating whether moral facts exist, what moral language means, how moral knowledge is possible, and t
R_5_21 — Turing Patterns: Mathematical Morphogenesis and Biological Pattern Formation
In his landmark 1952 paper "The Chemical Basis of Morphogenesis," Alan Turing proposed that biological patterns — stripes, spots, spirals, and branching structures — could arise spontaneously from the interaction of two
V_1_08 — Mathematical Puzzles & Recreational Mathematics
Mathematical puzzles — problems posed for amusement, education, or intellectual challenge — have served as engines of mathematical discovery for over 4,000 years. The Rhind Mathematical Papyrus (c. 1650 BCE, Egypt) conta
V_1_02 — Infinity, Paradoxes, and Mathematical Philosophy
Infinity has been a source of wonder, terror, and paradox since the ancient Greeks first grappled with Zeno's paradoxes of motion. Georg Cantor's revolutionary set theory (1870s-1890s) proved that infinities come in diff
V_1_14 — Mathematical Constants: e, φ, √2, and Beyond
Mathematical constants are fixed numerical values that arise naturally from mathematical structures — appearing independently across diverse areas from geometry and analysis to probability and physics. The most famous, $
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
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