Epoché · the history of ideas

Learn from the thinkers themselves

Epoché teaches the great ideas the way they were meant to be learned — questioned in dialogue, read in the original, and held in memory by design. 165 thinkers, from Thales to Marie Curie.

From the thinkers themselves · Held, not just heard · A private record of how you think, that's yours to keep.

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Philosophy

Aristotle · 384 to 322 BC, Stagira, Greece

Virtue, purpose, logic, and the architecture of the good life.

Plato · 428 to 348 BC, Athens

The theory of Forms, the just city, and the examined life.

Immanuel Kant · 1724 to 1804, Konigsberg

Duty, reason, and the limits of what we can know.

Friedrich Nietzsche · 1844 to 1900, Saxony

The will to power, the death of God, and the revaluation of values.

Confucius · 551 to 479 BC, Lu, China

Harmony, ritual, and the ethics of the well ordered society.

Seneca · c. 4 BC to AD 65, Corduba and Rome

The Stoic statesman on time, anger, fortune, and how to live.

Epictetus · c. AD 50 to c. 135, Hierapolis and Nicopolis

The slave who became Stoicism’s greatest teacher of inner freedom.

Marcus Aurelius · AD 121 to 180, Rome

The philosopher-emperor whose private journal became a Stoic classic.

Socrates · c. 470 to 399 BC, Athens

The father of Western philosophy, who taught by questioning and died for it.

Heraclitus · c. 535 to 475 BC, Ephesus

Everything flows: change, the Logos, and the unity of opposites.

Parmenides · c. 515 to 450 BC, Elea

Being is one and unchanging: the way of truth, against the senses.

Rene Descartes · 1596 to 1650, La Haye en Touraine, France

Doubt, certainty, the thinking self, and the foundations of modern philosophy.

David Hume · 1711 to 1776, Edinburgh, Scotland

Experience, causation, the limits of reason, and a science of human nature.

Thales of Miletus · c. 624 to 546 BC, Miletus

The first philosopher: all things are water, and nature explains itself.

Anaxagoras · c. 500 to 428 BC, Clazomenae

Mind (Nous) orders the cosmos; in everything there is a portion of everything.

Benedict de Spinoza · 1632 to 1677, Amsterdam, Dutch Republic

One infinite substance - God, or Nature - and the path from bondage to blessedness through understanding.

G. W. F. Hegel · 1770 to 1831, Stuttgart, Germany

The dialectic, the self-development of Spirit (Geist), and history as the unfolding of freedom.

Democritus · c. 460 to 370 BC, Abdera

Atoms and the void: the first thoroughgoing materialism.

Epicurus · 341 to 270 BC, Samos and Athens

Pleasure as tranquillity: the Garden, the swerve, and freedom from fear.

Plotinus · c. 204 to 270 AD, Egypt and Rome

Neoplatonism: the One, emanation, and the soul's flight to the Alone.

Arthur Schopenhauer · 1788 to 1860, Danzig, Prussia

The world as blind, striving will - the metaphysics of suffering, and salvation through art and compassion.

Søren Kierkegaard · 1813 to 1855, Copenhagen, Denmark

The existing individual against the System - subjectivity, the stages of life, anxiety, and the leap of faith.

Ludwig Wittgenstein · 1889 to 1951, Vienna, Austria

Two revolutions in the philosophy of language - the picturing of facts, and meaning as use in the games of life.

Pyrrho of Elis · c. 360 to 270 BC, Elis

The founder of Greek skepticism: suspend judgement, and tranquillity follows.

Protagoras · c. 490 to 420 BC, Abdera

The first and greatest sophist: man is the measure of all things.

Zeno of Elea · c. 490 to 430 BC, Elea

Defender of Parmenides: paradoxes that motion and plurality are impossible.

Jean-Paul Sartre · 1905 to 1980, Paris, France

Existence precedes essence, radical freedom, bad faith, and the burden of being human.

Simone de Beauvoir · 1908 to 1986, Paris, France

The Second Sex, woman as the Other, the ethics of ambiguity, and existentialist feminism.

Martin Heidegger · 1889 to 1976, Messkirch, Germany

Being, Dasein, being-in-the-world, authenticity, death, and the question of technology.

Zeno of Citium · c. 334 to 262 BC, Citium and Athens

Founder of Stoicism: live in agreement with nature, and virtue alone is good.

Michel Foucault · 1926 to 1984, Poitiers and Paris, France

Power, knowledge, discipline, and the hidden histories of madness, punishment, and sexuality.

Chrysippus · c. 279 to 206 BC, Soli and Athens

The second founder of Stoicism: logic, fate, and the unity of virtue.

Jacques Derrida · 1930 to 2004, El Biar, French Algeria

Deconstruction, differance, and the claim that there is nothing outside the text.

William James · 1842 to 1910, New York City, USA

Pragmatism, the will to believe, and the stream of consciousness - a philosophy for a world still in the making.

Voltaire · 1694 to 1778, Paris, France

Reason against fanaticism, tolerance against persecution, and the laughter of Candide against every system that calls our suffering the bes…

Henry David Thoreau · 1817 to 1862, Concord, USA

Deliberate living, the true cost of things, and civil disobedience - a philosophy of waking up and living free.

Zhuangzi · c. 369 to 286 BC, Meng, State of Song (Chin…

The Daoist master who dissolved fixed right and wrong, prized effortless spontaneity and the useless, and wandered free and easy through li…

Mencius · c. 372 to 289 BC, Zou, China

Human nature is innately good, its four moral sprouts grow into virtue through patient cultivation, and a ruler holds power only so long as…

Ralph Waldo Emerson · 1803 to 1882, Boston, USA

Self-reliance, the Over-Soul, and the moral law of compensation - the Transcendentalist who taught that the individual soul is divine and m…

Jeremy Bentham · 1748 to 1832, London, England

The founder of utilitarianism, who measured right and wrong by the greatest happiness of the greatest number and asked of every law only wh…

Laozi · Traditionally 6th century BCE, ancient Chin…

The nameless Dao, wu wei, and the strength of water - a philosophy of yielding, simplicity, and governing by not-forcing.

Xunzi (Xun Kuang) · c. 310 to c. 235 BCE, State of Zhao, China

Human nature is bad, and virtue is a human achievement - won by ritual, learning, and clear-eyed effort under a Heaven that answers no pray…

Mozi · c. 470 to c. 391 BCE, state of Lu, China

Impartial care, the arithmetic against aggressive war, and the test of every doctrine by its benefit to the common people - the first great…

Charles Sanders Peirce · 1839 to 1914, Cambridge, Massachusetts, USA

The founder of pragmatism and modern semiotics - meaning lies in practical effects, inquiry is fallible yet self-correcting, and truth is t…

John Dewey · 1859 to 1952, Burlington, Vermont, USA

Learning by doing, democracy as a shared way of life, and philosophy remade to serve the problems of men.

Dante Alighieri · 1265 to 1321, Florence, Italy

Contrapasso, love as the engine of all action, the two suns of empire and church, and the dignity of the vernacular - a poet who made philo…

William of Ockham · c. 1287 to 1347, Ockham, Surrey, England

The razor, nominalism, and the primacy of the individual - the Franciscan logician who cut medieval metaphysics to the bone and helped seed…

Desiderius Erasmus · c. 1466 to 1536, Rotterdam, Holland

Prince of the humanists, who turned philology, irony, and the inward philosophy of Christ into instruments of reform.

John Rawls · 1921 to 2002, Baltimore, Maryland, USA

Justice as fairness, the veil of ignorance, and public reason - how free and equal people could agree on fair terms for a divided society.

Giordano Bruno · 1548 to 1600, Nola, Kingdom of Naples

An infinite universe of innumerable worlds, one living substance beneath all forms, and the freedom to philosophize, held to the last.

Albert Camus · 1913 to 1960, Mondovi, French Algeria

The absurd, revolt, and the invincible summer - how to live well and stand with others in a world that offers no meaning.

Ibn Rushd (Averroes) · 1126 to 1198, Córdoba, al-Andalus

The Commentator on Aristotle who defended reason and natural causation, and taught that religion and philosophy are two paths to one truth.

Karl Popper · 1902 to 1994, Vienna, Austria

Falsifiability, the open society, and the war on prophecy - science and freedom both grow through bold conjectures and fearless criticism.

Simone Weil · 1909 to 1943, Paris, France

Attention as the substance of love, affliction as the mark of force, and grace as the soul’s one escape from gravity.

Abu Nasr al-Farabi · c. 870 to 950, Farab, Transoxiana, to Damas…

The ‘Second Teacher’ after Aristotle, who mapped the sciences, built the philosopher’s virtuous city, married reason to revelation, and mad…

Swami Vivekananda · 1863 to 1902, Calcutta, India

Practical Vedanta - each soul potentially divine, the harmony of religions, service as worship, and strength as the message.

Wang Yangming · 1472 to 1529, Yuyao, Zhejiang, China

The unity of knowledge and action, the mind as principle, and the innate knowing (liangzhi) that makes a sage of anyone who clears the self…

Rabindranath Tagore · 1861 to 1941, Calcutta, India

Finding the infinite in the finite: joy as the mark of truth, art as the language of the soul, education as freedom, and a humanity larger…

Zhu Xi · 1130 to 1200, Youxi, Fujian, China

Principle and vital force, the investigation of things, and the Four Books - the Neo-Confucian synthesis that gave East Asia its mind for s…

Zhang Zai · 1020 to 1077, Hengqu (Shaanxi), China

All that exists is one qi condensing and dispersing, all people are my kin, and the scholar’s calling is to establish the mind for Heaven a…

Motoori Norinaga · 1730 to 1801, Matsusaka, Japan

The scholar who found the Japanese heart in the pathos of things, and spent thirty-five years reading it back out of an ancient text.

Nishida Kitaro · 1870 to 1945, Mori, Ishikawa, Japan

Pure experience, the logic of place, and absolute nothingness - Zen realization brought into rigorous dialogue with Western philosophy.

Nezahualcoyotl · 1402 to 1472, Texcoco (Acolhuacan), Mexico

The poet-king of Texcoco, whose tradition made flower and song the only truth on a fleeting earth, reached toward an unknowable Giver of Li…

Cleanthes of Assos · c. 330 to c. 230 BCE, Assos to Athens

The Stoa’s second head, who added ‘with nature’ to the goal of life, wrote the one surviving hymn of the early Stoa, and proved his philoso…

Ptahhotep · fl. c. 2400 BCE, Memphis, Old Kingdom Egypt…

The oldest book of wisdom - an Egyptian vizier teaching his son the art of living by ma’at : right order, truth, and justice.

Zera Yacob · 1599 to 1692, near Aksum, Ethiopia

A hermit who made reason the test of every faith, and left the Hatata - an African philosophy of inquiry a century before Europe’s Enlighte…

Posidonius of Apamea · c. 135 BC to c. 51 BC, Apamea, Syria

The last great polymath of the Stoa, who measured the sun, mapped the tides, and read the whole cosmos as one living, connected whole.

Musonius Rufus · c. 30 CE to before 101 CE, Volsinii, Roman…

The Roman Socrates: that philosophy is training not talk, that women must study it as fully as men, and that virtue is learned by living it.

Panaetius of Rhodes · c. 185 to c. 110 BCE, Rhodes and Athens

The middle Stoa made human: duty fitted to each person’s role, and a Stoicism that a Roman statesman could actually live by.

Science

Isaac Newton · 1643 to 1727, Lincolnshire, England

The laws of motion, gravitation, and the mathematics of the cosmos.

Galileo Galilei · 1564 to 1642, Pisa

The telescope, the heavens, and the birth of observation.

Charles Darwin · 1809 to 1882, England

Natural selection and the deep history of life.

Marie Curie · 1867 to 1934, Warsaw and Paris

Radioactivity and the invisible architecture of matter.

Ibn al Haytham · 965 to 1040, Basra and Cairo

Optics and the founding of the scientific method.

Johannes Kepler · 1571 to 1630, Weil der Stadt

The three laws, the ellipse, and the marriage of physics to the heavens.

Nicolaus Copernicus · 1473 to 1543, Toruń

The man who stopped the Sun and set the Earth in motion.

James Clerk Maxwell · 1831 to 1879, Edinburgh

The equations that united electricity, magnetism, and light into one field.

Gregor Mendel · 1822 to 1884, Heinzendorf and Brno

The hidden laws of heredity, found in a monastery garden of peas.

Louis Pasteur · 1822 to 1895, Dole

The chemist who proved that life comes only from life, founded germ theory, and built the first laboratory vaccines.

Dmitri Mendeleev · 1834 to 1907, Tobolsk

The chemist who found the hidden order of the elements and predicted, from a gap in his table, elements no one had yet seen.

Francis Bacon · 1561 to 1626, London, England

Knowledge is power, and the new method of science.

Antoine Lavoisier · 1743 to 1794, Paris, France

The chemical revolution - oxygen against phlogiston, the balance as law, and a new language that turned alchemy into a quantitative science…

Michael Faraday · 1791 to 1867, Newington Butts, England

Electromagnetic induction, lines of force, and the laws of electrolysis - the bookbinder’s apprentice who gave the world its electric age a…

Émilie du Châtelet · 1706 to 1749, Paris, France

The Newton of France - who translated the Principia , defended energy as mv², glimpsed the infrared, and argued that physics needs philosop…

Abu Rayhan al-Biruni · 973 to 1048, Kath in Khwarazm (present-day…

Measuring the earth from a mountain, studying India on its own terms, and setting observation above authority - a scientist devoted to prec…

Abu Bakr al-Razi (Rhazes) · 865 to 925, Rayy, Persia

The physician who trusted the bedside over the book - distinguishing smallpox from measles, doubting Galen, and turning alchemy into a teac…

Sigmund Freud · 1856 to 1939, Freiberg, Moravia to London,…

The unconscious, dream interpretation, and the talking cure - the thinker who taught the twentieth century to see the mind as a house divid…

Shen Kuo · 1031 to 1095, Qiantang (present-day Hangzho…

Song China’s great polymath, whose Dream Pool Essays recorded magnetic declination, marine fossils, movable type, and a mind that trusted i…

Roger Bacon · c. 1214 to 1292, Ilchester, England

The medieval friar who argued that no reasoning is certain until experience confirms it, and who made mathematics and experiment the keys t…

Mary Anning · 1799 to 1847, Lyme Regis, England

The self-taught fossilist whose Lyme Regis discoveries gave the new sciences of extinction and deep time their hardest evidence: whole vani…

Imhotep · flourished c. 27th century BCE, Memphis and…

The official credited with the first pyramid in stone, whose memory outgrew his titles over two thousand years to become a sage and a god o…

Politics

John Locke · 1632 to 1704, Somerset, England

Natural rights, consent, and the foundations of liberalism.

Thomas Hobbes · 1588 to 1679, England

The Leviathan and the case for absolute sovereignty.

Jean Jacques Rousseau · 1712 to 1778, Geneva

The general will and the paradox of freedom.

John Stuart Mill · 1806 to 1873, London

Liberty, utility, and the tyranny of the majority.

Niccolo Machiavelli · 1469 to 1527, Florence

Power, virtue, and the realities of rule.

Cicero · 106 to 43 BC, Arpinum and Rome

Rome’s great orator-statesman, who gave the West natural law and the mixed republic.

Mahatma Gandhi · 1869 to 1948, India

Satyagraha, nonviolence, and the soul-force that toppled an empire.

Sun Tzu · c. 544 to 496 BC, China

The Art of War: winning through wisdom, deception, and the supreme excellence of not fighting at all.

Montesquieu · 1689 to 1755, France

Separation of powers and the spirit behind a nation's laws.

Alexis de Tocqueville · 1805 to 1859, France

Democracy, equality, and the new dangers to liberty.

Hannah Arendt · 1906 to 1975, Germany / United States

Totalitarianism, the banality of evil, and the dignity of political action.

Thomas Paine · 1737 to 1809, England and America

Common Sense, the Rights of Man, and the pamphleteer who set two revolutions alight.

Thomas Jefferson · 1743 to 1826, Virginia

The Declaration of Independence, natural rights, and the paradox of a slaveholding apostle of liberty.

Mary Wollstonecraft · 1759 to 1797, England

A Vindication of the Rights of Woman and the founding argument of liberal feminism.

Frederick Douglass · 1818 to 1895, United States

From slave to statesman: literacy, abolition, and holding America to its own ideals.

W. E. B. Du Bois · 1868 to 1963, Massachusetts, USA, to Accra,…

Double consciousness, the color line, and the sociology of race.

B. R. Ambedkar · 1891 to 1956, Mhow and Delhi, India

The economist who measured a currency, the sociologist who cracked open caste, and the constitution-maker who bound justice to the rights o…

Han Fei · c. 280 to 233 BCE, State of Han, China

The philosopher who taught that a state must rule not by virtue but by clear law, calibrated reward and punishment, and the cold logic of p…

Ashoka · c. 304 to 232 BCE, Mauryan India

The emperor who repented of conquest after Kalinga and ruled by dhamma - non-violence, tolerance, and the welfare of all, carved in stone.

Frantz Fanon · 1925 to 1961, Fort-de-France, Martinique

How colonialism wounds the mind as well as the body - the epidermal shame of the white gaze, the psychology of decolonization, and the call…

Chanakya (Kautilya) · c. 350 to 275 BCE (traditional), Pataliputr…

The Arthashastra and the science of statecraft - realpolitik, spycraft, and the paradox that the king’s happiness lies in his subjects’ wel…

Fukuzawa Yukichi · 1835 to 1901, Nakatsu and Tokyo, Japan

Equality by birth, independence of mind, and practical learning - the ideas with which Fukuzawa taught a nation to remake itself, and the c…

Pierre-Joseph Proudhon · 1809 to 1865, Besançon, France

The first self-described anarchist - property is theft, mutualism, order without government, and a federation of free communes against both…

Bartolomé de las Casas · 1484 to 1566, Seville, Spain

The conquest put on trial: the friar who argued that the peoples of the New World were fully rational, fully free, and no man’s natural sla…

Simón Bolívar · 1783 to 1830, Caracas, Venezuela to Santa M…

Independence made inevitable, a continent dreamed into union, slavery struck down by decree, and the hard question of what freedom a newly…

Mansa Musa · c. 1280 to c. 1337, Mali Empire (West Afric…

Gold, pilgrimage, and the making of a legend - the political economy and Islamic kingship of Mali’s most famous emperor, known to us entire…

Askia Muhammad I · c. 1443 to 1538, Songhai Empire (Gao, in pr…

The scholar-king who forged a Muslim administrative empire on the Niger - statecraft, learning, and the manufacture of legitimacy in Songha…

bell hooks · 1952 to 2021, Hopkinsville, Kentucky, USA

Interlocking systems of domination, feminism as the end of sexism, engaged pedagogy, and love as the practice of freedom.

Noam Chomsky · born 1928, Philadelphia, USA

The propaganda model, the responsibility of intellectuals, and libertarian socialism - a lifelong case that illegitimate power must justify…

José Martí · 1853 to 1895, Havana, Cuba

A journalist-poet who fused plain, sincere verse with a warning against empire and a vision of a self-made, racially unified American repub…

Economics

Adam Smith · 1723 to 1790, Kirkcaldy, Scotland

Markets, self interest, and the wealth of nations.

Karl Marx · 1818 to 1883, Germany and London

Capital, class, and the engine of history.

John Maynard Keynes · 1883 to 1946, Cambridge

Demand, depression, and the role of the state.

David Ricardo · 1772 to 1823, London

Comparative advantage and the logic of trade.

Friedrich Hayek · 1899 to 1992, Vienna and London

Knowledge, spontaneous order, and the case against planning.

Theology

Ibn Sina · 980 to 1037, Bukhara, Persia

Existence, necessity, and the nature of the soul.

Thomas Aquinas · 1225 to 1274, Italy

The synthesis of faith and reason, and the five ways.

Al Ghazali · 1058 to 1111, Persia

The limits of philosophy and the renewal of faith.

Maimonides · 1138 to 1204, Cordoba and Cairo

Reconciling scripture with Aristotelian reason.

Nagarjuna · 150 to 250 AD, India

Emptiness and the middle way of Buddhist philosophy.

Augustine of Hippo · 354 to 430, North Africa

The restless heart, original sin, and the two cities.

The Buddha · c. 563 to 483 BCE, India and Nepal

The Four Noble Truths, no-self, and the end of suffering.

Buddhaghosa · c. 5th century CE, Anuradhapura, Sri Lanka

The great commentator who systematized Theravada Buddhism, mapping the whole path from virtue through concentration to the wisdom that sees…

Vasubandhu · c. 4th to 5th century CE, Gandhara and Ayod…

No self, only a stream of momentary factors - the great Buddhist analyst who argued the person away, asked how karma can work without a sou…

Shantideva · c. 685 to 763 CE, Nalanda, India

The Nalanda monk whose Guide to the Bodhisattva’s Way of Life turned the whole path of compassion and wisdom into a single unforgettable po…

Huineng · 638 to 713 CE, Tang dynasty China

The Sixth Patriarch of Chan, who taught that awakening is sudden, that your own nature is already Buddha, and that the mind should abide no…

Dogen · 1200 to 1253 CE, Kyoto and Eiheiji, Japan

The Treasury of the True Dharma Eye - that practice is itself realization, that body and mind drop away, that the mountains are always walk…

Shinran · 1173 to 1263 CE, Kamakura-era Japan

A Pure Land path for the age of Dharma-decline, where liberation is Amida’s gift received in the Name and lived in gratitude, open to ordin…

Tsongkhapa · 1357 to 1419 CE, Amdo and central Tibet

The great reformer who rebuilt Tibetan Buddhism on a union of rigorous scholarship, ethical discipline, and the precise view that emptiness…

Jalal al-Din Rumi · 1207 to 1273, Persia and Anatolia

Divine love, the reed’s lament, and union with God.

Adi Shankara · c. 700 to 750, Kerala and across India

Non-dual reality, the illusory world, and the Self as Brahman.

Ibn al-‘Arabi · 1165 to 1240, al-Andalus and Damascus

The unity of being, the perfect human, and God’s self-disclosure.

Ramanuja · c. 1017 to 1137, Sriperumbudur and Sriranga…

Qualified non-dualism, the personal God, and devotion as the path.

Hildegard of Bingen · 1098 to 1179, Rhineland, Germany

Scivias and the living Light, viriditas the greening power, the human microcosm, and a symphonic soul - a visionary theology in which the w…

John Duns Scotus · c. 1266 to 1308, Duns, Scotland to Cologne

The Subtle Doctor - univocity of being, the thisness of the individual, the formal distinction, the free will that loves, and Christ as cre…

Civilisations

Ibn Khaldun · 1332 to 1406, Tunis and Cairo

The hidden laws behind the rise and fall of civilisations.

Herodotus · c. 484 to c. 425 BC, Halicarnassus, Asia Mi…

The first histories and the birth of inquiry.

Sima Qian · 145 to 86 BC, Han China

The grand historian and the shaping of Chinese memory.

Edward Gibbon · 1737 to 1794, England

The decline and fall of the Roman Empire.

Giambattista Vico · 1668 to 1744, Naples

The cycles of history and the making of nations.

Mathematics

Euclid · Greek geometer · ~300 BC, Alexandria

The axiomatic method - building all of geometry from a handful of self-evident truths.

Pythagoras · Greek mystic-mathematician · ~570–495 BC

Number as the hidden order of the cosmos - and the theorem that bears his name.

Al-Khwarizmi · Persian mathematician · ~780–850, Baghdad

The founder of algebra - restoring and balancing equations into a general art.

Alan Turing · British mathematician · 1912–1954

The universal machine, computability, and whether a machine can think.

Gottfried Leibniz · German polymath · 1646–1716

The calculus, the dream of a universal logic, and a calculating reason.

Aryabhata · 476 to 550 CE, Kusumapura (Pataliputra), In…

A whole mathematics and astronomy in 121 verses - the value of pi, the first sine table, and a turning earth.

Hypatia of Alexandria · c. 355 to 415 CE, Alexandria, Roman Egypt

The mathematician who left no book of her own, yet kept Greek science alive - editing Ptolemy and Diophantus, teaching pagans and Christian…

Brahmagupta · c. 598 to c. 668 CE, Bhillamala (Rajasthan)…

The Brahmasphutasiddhanta made zero a number and negatives legitimate, gave the area of a cyclic quadrilateral, and posed the Pell equation…

Blaise Pascal · 1623 to 1662, Clermont-Ferrand, France

From the geometry of chance to the wager on God: a mathematician who weighed the vacuum, the odds, and the limits of reason itself.

Leonardo of Pisa (Fibonacci) · c. 1170 to c. 1245, Pisa, Italy

The merchant’s son who carried Hindu-Arabic numerals into Europe, gave his name to a famous sequence, and did real number theory in the Boo…

Bertrand Russell · 1872 to 1970, Trellech, Wales

Logicism, the paradox, and the theory of descriptions - a logician who tried to build mathematics from logic and carried its rigour into th…

Omar Khayyam · 1048 to 1131, Nishapur, Persia (present-day…

The astronomer who cut cones to solve cubic equations and reformed the calendar, now remembered in the West for quatrains whose authorship…

Srinivasa Ramanujan · 1887 to 1920, Erode and Kumbakonam, India

A self-taught genius who found thousands of deep results by intuition alone, from rapidly converging series for pi to the mock theta functi…

Gottlob Frege · 1848 to 1925, Wismar, Germany

The birth of modern logic: the quantifier, the definition of number, and the distinction between sense and reference that founded analytic…

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