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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.
1,400 results for "philosophy of mathematics" — page 2 of 70
P_5_08 — Philosophy of History
Philosophy of history asks whether history has a pattern, direction, or meaning — and how historical knowledge itself is possible. Two broad orientations have competed since antiquity: cyclical views (civilizations rise
P_5_03 — Aesthetics — Philosophy of Beauty, Art, and the Sublime
Aesthetics — the philosophical study of beauty, art, taste, and the sublime — has been a central philosophical concern from Plato's suspicion of art as dangerous imitation to contemporary debates about the nature of aest
ZE_1_13 — Philosophy of Play, Games, and the Sacred Ludic
The philosophy of play examines one of humanity's most fundamental yet philosophically neglected activities. Johan Huizinga (Homo Ludens, 1938) argued that play is not merely one activity among others but the foundation
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
G_3_20 — Kuhn's Paradigm Shifts: The Structure of Scientific Revolutions
Thomas S. Kuhn's The Structure of Scientific Revolutions (1962) introduced the concept of the paradigm shift — the idea that science does not progress by linear accumulation of facts, but through periodic, discontinuous
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
P_3_14 — Hegel: Dialectics, Phenomenology of Spirit, and Historical Reason
Georg Wilhelm Friedrich Hegel (1770-1831), the most ambitious and systematic philosopher of the German Idealist tradition, developed a comprehensive philosophical system in which reality, thought, and history are underst
P_3_12 — Medieval Philosophy: Aquinas, Ockham, and Scholastic Thought
Medieval philosophy spans roughly a millennium of intellectual activity (c. 5th-15th centuries CE) dominated by the project of integrating faith and reason — reconciling the philosophical heritage of ancient Greece (espe
P_3_08 — Pragmatism — American Philosophy
Pragmatism is the most distinctive American contribution to philosophy, originating in the 1870s with Charles Sanders Peirce (1839–1914), developed by William James (1842–1910), and extended by John Dewey (1859–1952). It
P_4_14 — Maat and Ancient Egyptian Philosophy: Order, Truth, and Justice
Maat (also Ma'at) is the ancient Egyptian concept of cosmic order, truth, justice, balance, and righteous conduct that governed the universe, society, and individual ethics for over three millennia — from the Old Kingdom
P_4_13 — Chinese Philosophy — Dao, Confucius, and Beyond
Chinese philosophy encompasses one of the world's richest and longest-continuous intellectual traditions, spanning from the Zhou dynasty (~1046–256 BCE) to the present. The foundational period — the Hundred Schools of Th
P_4_02 — Perennial Philosophy and Universal Wisdom
The Perennial Philosophy — philosophia perennis — is the thesis that beneath the surface diversity of the world's religious and spiritual traditions lies a SINGLE, universal truth about the nature of reality and human ex
P_1_13 — Paradoxes in Philosophy: Zeno, Liar, Ship of Theseus, Sorites
A paradox is an argument that proceeds from apparently acceptable premises via apparently valid reasoning to a conclusion that is apparently unacceptable — forcing us either to reject a premise, identify a flaw in the re
P_5_14 — African Philosophy Beyond Ubuntu: Sage, Négritude, and Ethnophilosophy
African philosophy extends far beyond the Ubuntu concept most familiar to Western audiences. It is a diverse, complex, frequently contested field encompassing multiple traditions, methods, and debates. The "Great Debate"
P_5_20 — Cicero: Roman Oratory, Natural Law, and Republican Philosophy
Marcus Tullius Cicero (106–43 BCE) — Roman statesman, orator, philosopher, and lawyer — stands as one of the most influential figures in Western intellectual history, bridging Greek philosophy and Roman practice, and tra
P_5_18 — Comparative Religion & the Science of Sacred Traditions
Comparative religion — the systematic study of the world's religious traditions through cross-cultural analysis — emerged as an academic discipline in the 19th century with Friedrich Max Müller's translation of the Sacre
P_2_06 — Political Philosophy: Justice, Power, and Authority
Political philosophy examines the nature of justice, power, authority, and the proper organization of collective human life. Plato (Republic, c. 375 BCE) argued that justice consists in each part of the soul and the city
ZA_2_01 — Time: Physics and Philosophy
Time is arguably the deepest unsolved problem in physics and philosophy. Physics reveals: (1) time is relative, not absolute — Einstein showed it flows at different rates depending on velocity and gravity; (2) the fundam
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
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