151 ideas
| 11421 | 427: Gorgias visited Athens as ambassador for Leontini [PG] |
| Full Idea: In 427 BCE Gorgias of Leontini visited Athens as an ambassador for his city | |
| From: PG (Db (chronology) [2030], 0573) |
| 11425 | 399: Socrates executed (with Plato absent through ill health) [PG] |
| Full Idea: In 399 BCE Plato was unwell, and was not present at the death of Socrates | |
| From: PG (Db (chronology) [2030], 0601) |
| 11432 | 387 (roughly): Plato returned to Athens, and founded the Academy [PG] |
| Full Idea: In about 387 BCE Plato returned to Athens and founded his new school at the Academy | |
| From: PG (Db (chronology) [2030], 0613) |
| 11433 | 387 (roughly): Aristippus the Elder founder a hedonist school at Cyrene [PG] |
| Full Idea: In around 387 BCE a new school was founded at Cyrene by Aristippus the elder | |
| From: PG (Db (chronology) [2030], 0613) |
| 11440 | 367: the teenaged Aristotle came to study at the Academy [PG] |
| Full Idea: In 367 BCE the seventeen-year-old Aristotle came south to study at the Academy | |
| From: PG (Db (chronology) [2030], 0633) |
| 11443 | 360 (roughly): Diogenes of Sinope lives in a barrel in central Athens [PG] |
| Full Idea: In around 360 BCE Diogenes of Sinope was living in a barrel in the Agora in Athens | |
| From: PG (Db (chronology) [2030], 0640) |
| 11445 | 347: death of Plato [PG] |
| Full Idea: In 347 BCE Plato died | |
| From: PG (Db (chronology) [2030], 0653) |
| 11454 | 343: Aristotle becomes tutor to 13 year old Alexander (the Great) [PG] |
| Full Idea: In 343 BCE at Stagira Aristotle became personal tutor to the thirteen-year-old Alexander (the Great) | |
| From: PG (Db (chronology) [2030], 0657) |
| 11456 | 335: Arisotle founded his school at the Lyceum in Athens [PG] |
| Full Idea: In 335 BCE Aristotle founded the Lyceum in Athens | |
| From: PG (Db (chronology) [2030], 0665) |
| 11459 | 330 (roughly): Chuang Tzu wrote his Taoist book [PG] |
| Full Idea: In around 330 BCE Chuang Tzu wrote a key work in the Taoist tradition | |
| From: PG (Db (chronology) [2030], 0670) |
| 11465 | 322: Aristotle retired to Chalcis, and died there [PG] |
| Full Idea: In 322 BCE Aristotle retired to Chalcis in Euboea, where he died | |
| From: PG (Db (chronology) [2030], 0678) |
| 11468 | 307 (roughly): Epicurus founded his school at the Garden in Athens [PG] |
| Full Idea: In about 307 BCE Epicurus founded his school at the Garden in Athens | |
| From: PG (Db (chronology) [2030], 0693) |
| 11470 | 301 (roughly): Zeno of Citium founded Stoicism at the Stoa Poikile in Athens [PG] |
| Full Idea: In about 301 BCE the Stoic school was founded by Zeno of Citium in the Stoa Poikile in Athens | |
| From: PG (Db (chronology) [2030], 0699) |
| 11483 | 261: Cleanthes replaced Zeno as head of the Stoa [PG] |
| Full Idea: In 261 BCE Cleanthes took over from Zeno as head of the Stoa. | |
| From: PG (Db (chronology) [2030], 0739) |
| 11486 | 229 (roughly): Chrysippus replaced Cleanthes has head of the Stoa [PG] |
| Full Idea: In about 229 BCE Chrysippus took over from Cleanthes as the head of the Stoic school | |
| From: PG (Db (chronology) [2030], 0771) |
| 11492 | 157 (roughly): Carneades became head of the Academy [PG] |
| Full Idea: In around 157 BCE Carneades took over as head of the Academy from Hegesinus | |
| From: PG (Db (chronology) [2030], 0843) |
| 11509 | 85: most philosophical activity moves to Alexandria [PG] |
| Full Idea: In around 85 BCE Athens went into philosophical decline, and leadership moved to Alexandria | |
| From: PG (Db (chronology) [2030], 0915) |
| 11513 | 78: Cicero visited the stoic school on Rhodes [PG] |
| Full Idea: In around 78 BCE Cicero visited the school of Posidonius in Rhodes. | |
| From: PG (Db (chronology) [2030], 0922) |
| 11516 | 60 (roughly): Lucretius wrote his Latin poem on epicureanism [PG] |
| Full Idea: In around 60 BCE Lucretius wrote his Latin poem on Epicureanism | |
| From: PG (Db (chronology) [2030], 0940) |
| 11528 | 65: Seneca forced to commit suicide by Nero [PG] |
| Full Idea: In 65 CE Seneca was forced to commit suicide by the Emperor Nero. | |
| From: PG (Db (chronology) [2030], 1065) |
| 11531 | 80: the discourses of the stoic Epictetus are written down [PG] |
| Full Idea: In around 80 CE the 'Discourses' of the freed slave Epictetus were written down in Rome. | |
| From: PG (Db (chronology) [2030], 1080) |
| 11461 | 323 (roughly): Euclid wrote 'Elements', summarising all of geometry [PG] |
| Full Idea: Euclid: In around 323 BCE Euclid wrote his 'Elements', summarising all of known geometry. | |
| From: PG (Db (chronology) [2030]) |
| 11390 | 1000 (roughly): Upanishads written (in Sanskrit); religious and philosophical texts [PG] |
| Full Idea: In around 1000 BCE the Upanishads were written, the most philosophical of ancient Hindu texts | |
| From: PG (Db (chronology) [2030], 0001) |
| 11391 | 750 (roughly): the Book of Genesis written by Hebrew writers [PG] |
| Full Idea: In around 750 BCE the Book of Genesis was written by an anonymous jewish writer | |
| From: PG (Db (chronology) [2030], 0250) |
| 11392 | 586: eclipse of the sun on the coast of modern Turkey was predicted by Thales of Miletus [PG] |
| Full Idea: In 585 BCE there was an eclipse of the sun, which Thales of Miletus is said to have predicted | |
| From: PG (Db (chronology) [2030], 0415) |
| 11395 | 570: Anaximander flourished in Miletus [PG] |
| Full Idea: Anaximander: In around 570 BCE the philosopher and astronomer Anaximander flourished in Miletus | |
| From: PG (Db (chronology) [2030], 0430) |
| 11396 | 563: the Buddha born in northern India [PG] |
| Full Idea: In around 563 BCE Siddhartha Gautama, the Buddha, was born in northern India | |
| From: PG (Db (chronology) [2030], 0437) |
| 11398 | 540: Lao Tzu wrote 'Tao Te Ching', the basis of Taoism [PG] |
| Full Idea: In around 540 BCE Lao Tzu wrote the 'Tao Te Ching', the basis of Taoism | |
| From: PG (Db (chronology) [2030], 0460) |
| 11400 | 529: Pythagoras created his secretive community at Croton in Sicily [PG] |
| Full Idea: In around 529 BCE Pythagoras set up a community in Croton, with strict and secret rules and teachings | |
| From: PG (Db (chronology) [2030], 0471) |
| 11403 | 500: Heraclitus flourishes at Ephesus, in modern Turkey [PG] |
| Full Idea: In around 500 BCE Heraclitus flourished in the city of Ephesus in Ionia | |
| From: PG (Db (chronology) [2030], 0500) |
| 11404 | 496: Confucius travels widely, persuading rulers to be more moral [PG] |
| Full Idea: In 496 BCE Confucius began a period of wandering, to persuade rulers to be more moral | |
| From: PG (Db (chronology) [2030], 0504) |
| 11408 | 472: Empedocles persuades his city (Acragas in Sicily) to become a democracy [PG] |
| Full Idea: In 472 BCE Empedocles helped his city of Acragas change to democracy | |
| From: PG (Db (chronology) [2030], 0528) |
| 11412 | 450 (roughly): Parmenides and Zeno visit Athens from Italy [PG] |
| Full Idea: In around 450 BCE Parmenides and Zeno visited the festival in Athens | |
| From: PG (Db (chronology) [2030], 0550) |
| 11414 | 445: Protagoras helps write laws for the new colony of Thurii [PG] |
| Full Idea: In 443 BCE Protagoras helped write the laws for the new colony of Thurii | |
| From: PG (Db (chronology) [2030], 0557) |
| 11417 | 436 (roughly): Anaxagoras is tried for impiety, and expelled from Athens [PG] |
| Full Idea: In about 436 BCE Anaxagoras was tried on a charge of impiety and expelled from Athens | |
| From: PG (Db (chronology) [2030], 0564) |
| 11535 | 170 (roughly): Marcus Aurelius wrote his private stoic meditations [PG] |
| Full Idea: In around 170 CE the Emperor Marcus Aurelius wrote his 'Meditations' for private reading. | |
| From: PG (Db (chronology) [2030], 1170) |
| 11537 | -200 (roughly): Sextus Empiricus wrote a series of books on scepticism [PG] |
| Full Idea: In around 200 CE Sextus Empiricus wrote a series of books (which survive) defending scepticism | |
| From: PG (Db (chronology) [2030], 1200) |
| 11541 | 263: Porphyry began to study with Plotinus in Rome [PG] |
| Full Idea: In 263 CE Porphyry joined Plotinus' classes in Rome | |
| From: PG (Db (chronology) [2030], 1263) |
| 11545 | 310: Christianity became the official religion of the Roman empire [PG] |
| Full Idea: In 310 CE Christianity became the official religion of the Roman Empire | |
| From: PG (Db (chronology) [2030], 1310) |
| 11549 | 387: Ambrose converts Augustine to Christianity [PG] |
| Full Idea: In 387 CE Augustine converted to Christianity in Milan, guided by St Ambrose | |
| From: PG (Db (chronology) [2030], 1387) |
| 11555 | 523: Boethius imprisoned at Pavia, and begins to write [PG] |
| Full Idea: In 523 CE Boethius was imprisoned in exile at Pavia, and wrote 'Consolations of Philosophy' | |
| From: PG (Db (chronology) [2030], 1523) |
| 11557 | 529: the emperor Justinian closes all the philosophy schools in Athens [PG] |
| Full Idea: In 529 CE the Emperor Justinian closed all the philosophy schools in Athens | |
| From: PG (Db (chronology) [2030], 1529) |
| 11558 | 622 (roughly): Mohammed writes the Koran [PG] |
| Full Idea: Mohammed: In about 622 CE Muhammed wrote the basic text of Islam, the Koran. | |
| From: PG (Db (chronology) [2030], 1622) |
| 11559 | 642: Arabs close the philosophy schools in Alexandria [PG] |
| Full Idea: In 642 CE Alexandria was captured by the Arabs, and the philosophy schools were closed | |
| From: PG (Db (chronology) [2030], 1642) |
| 11560 | 910 (roughly): Al-Farabi wrote Arabic commentaries on Aristotle [PG] |
| Full Idea: Alfarabi: In around 910 CE Al-Farabi explained and expanded Aristotle for the Islamic world. | |
| From: PG (Db (chronology) [2030], 1910) |
| 11562 | 1015 (roughly): Ibn Sina (Avicenna) writes a book on Aristotle [PG] |
| Full Idea: In around 1015 Avicenna produced his Platonised version of Aristotle in 'The Healing' | |
| From: PG (Db (chronology) [2030], 2015) |
| 11564 | 1090: Anselm publishes his proof of the existence of God [PG] |
| Full Idea: Anselm: In about 1090 St Anselm of Canterbury publishes his Ontological Proof of God's existence | |
| From: PG (Db (chronology) [2030], 2090) |
| 11566 | 1115: Abelard is the chief logic teacher in Paris [PG] |
| Full Idea: In around 1115 Abelard became established as the chief logic teacher in Paris | |
| From: PG (Db (chronology) [2030], 2115) |
| 11573 | 1166: Ibn Rushd (Averroes) wrote extensive commentaries on Aristotle [PG] |
| Full Idea: In around 1166 Averroes (Ibn Rushd), in Seville, wrote extensive commentaries on Aristotle | |
| From: PG (Db (chronology) [2030], 2166) |
| 11581 | 1266: Aquinas began writing 'Summa Theologica' [PG] |
| Full Idea: In 1266 Aquinas began writing his great theological work, the 'Summa Theologica' | |
| From: PG (Db (chronology) [2030], 2266) |
| 11586 | 1280: after his death, the teaching of Aquinas becomes official Dominican doctrine [PG] |
| Full Idea: In around 1280 Aquinas's teaching became the official theology of the Dominican order | |
| From: PG (Db (chronology) [2030], 2280) |
| 11591 | 1328: William of Ockham decides the Pope is a heretic, and moves to Munich [PG] |
| Full Idea: In 1328 William of Ockham decided the Pope was a heretic, and moved to Munich | |
| From: PG (Db (chronology) [2030], 2328) |
| 17916 | 1347: the Church persecutes philosophical heresies [PG] |
| Full Idea: In 1347 the Church began extensive persecution of unorthodox philosophical thought | |
| From: PG (Db (chronology) [2030], 2347) |
| 11593 | 1470: Marsilio Ficino founds a Platonic Academy in Florence [PG] |
| Full Idea: In around 1470 Marsilio Ficino founded a Platonic Academy in Florence | |
| From: PG (Db (chronology) [2030], 2470) |
| 11596 | 1513: Machiavelli wrote 'The Prince' [PG] |
| Full Idea: In 1513 Machiavelli wrote 'The Prince', a tough view of political theory. | |
| From: PG (Db (chronology) [2030], 2513) |
| 11599 | 1543: Copernicus publishes his heliocentric view of the solar system [PG] |
| Full Idea: In 1543 Nicholas Copernicus, a Polish monk, publishes his new theory of the solar system. | |
| From: PG (Db (chronology) [2030], 2543) |
| 11601 | 1580: Montaigne publishes his essays [PG] |
| Full Idea: In 1580 Montaigne published a volume of his 'Essays' | |
| From: PG (Db (chronology) [2030], 2580) |
| 11607 | 1600: Giordano Bruno was burned at the stake in Rome [PG] |
| Full Idea: In 1600 Giordano Bruno was burnt at the stake in Rome, largely for endorsing Copernicus | |
| From: PG (Db (chronology) [2030], 2600) |
| 11613 | 1619: Descartes's famous day of meditation inside a stove [PG] |
| Full Idea: In 1619 Descartes had a famous day of meditation in a heated stove at Ulm | |
| From: PG (Db (chronology) [2030], 2619) |
| 11614 | 1620: Bacon publishes 'Novum Organum' [PG] |
| Full Idea: Francis Bacon: In 1620 Bacon published his 'Novum Organon', urging the rise of experimental science | |
| From: PG (Db (chronology) [2030], 2620) |
| 11619 | 1633: Galileo convicted of heresy by the Inquisition [PG] |
| Full Idea: In 1633 Galileo was condemned to life emprisonment for contradicting church teachings. | |
| From: PG (Db (chronology) [2030], 2633) |
| 11623 | 1641: Descartes publishes his 'Meditations' [PG] |
| Full Idea: In 1641 Descartes published his well-known 'Meditations', complete with Objections and Replies | |
| From: PG (Db (chronology) [2030], 2641) |
| 11626 | 1650: death of Descartes, in Stockholm [PG] |
| Full Idea: In 1650 Descartes died in Stockholm, after stressful work for Queen Christina | |
| From: PG (Db (chronology) [2030], 2650) |
| 11627 | 1651: Hobbes publishes 'Leviathan' [PG] |
| Full Idea: In 1651 Hobbes published his great work on politics and contract morality, 'Leviathan' | |
| From: PG (Db (chronology) [2030], 2651) |
| 11633 | 1662: the Port Royal Logic is published [PG] |
| Full Idea: Antoine Arnauld: In 1662 Arnauld and Nicole published their famous text, the 'Port-Royal Logic' | |
| From: PG (Db (chronology) [2030], 2662) |
| 11634 | 1665: Spinoza writes his 'Ethics' [PG] |
| Full Idea: In 1665 the first draft of Spinoza's 'Ethics', his major work, was finished, and published posthumously | |
| From: PG (Db (chronology) [2030], 2665) |
| 11643 | 1676: Leibniz settled as librarian to the Duke of Brunswick [PG] |
| Full Idea: In 1676 Leibniz became librarian to the Duke of Brunswick, staying for the rest of his life | |
| From: PG (Db (chronology) [2030], 2676) |
| 11649 | 1687: Newton publishes his 'Principia Mathematica' [PG] |
| Full Idea: In 1687 Newton published his 'Principia', containing his theory of gravity. | |
| From: PG (Db (chronology) [2030], 2687) |
| 11652 | 1690: Locke publishes his 'Essay' [PG] |
| Full Idea: In 1690 Locke published his 'Essay', his major work on empiricism | |
| From: PG (Db (chronology) [2030], 2690) |
| 11654 | 1697: Bayle publishes his 'Dictionary' [PG] |
| Full Idea: Pierre Bayle: In about 1697 Pierre Bayle published his 'Historical and Critical Dictionary' | |
| From: PG (Db (chronology) [2030], 2697) |
| 11659 | 1713: Berkeley publishes his 'Three Dialogues' [PG] |
| Full Idea: In 1713 Berkeley published a popular account of his empiricist idealism in 'Three Dialogues' | |
| From: PG (Db (chronology) [2030], 2713) |
| 11666 | 1734: Voltaire publishes his 'Philosophical Letters' [PG] |
| Full Idea: Francois-Marie Voltaire: In 1734 Voltaire's 'Lettres Philosophiques' praised liberalism and empiricism | |
| From: PG (Db (chronology) [2030], 2734) |
| 11667 | 1739: Hume publishes his 'Treatise' [PG] |
| Full Idea: In 1739 Hume returned to Edinburgh and published his 'Treatise', but it sold very few copies | |
| From: PG (Db (chronology) [2030], 2739) |
| 11675 | 1762: Rousseau publishes his 'Social Contract' [PG] |
| Full Idea: In 1762 Rousseau published his 'Social Contract', basing politics on the popular will | |
| From: PG (Db (chronology) [2030], 2762) |
| 11682 | 1781: Kant publishes his 'Critique of Pure Reason' [PG] |
| Full Idea: In 1781 Kant published his first great work, the 'Critique of Pure Reason' | |
| From: PG (Db (chronology) [2030], 2781) |
| 11683 | 1785: Reid publishes his essays defending common sense [PG] |
| Full Idea: In 1785 Thomas Reid, based in Glasgow, published essays defending common sense. | |
| From: PG (Db (chronology) [2030], 2785) |
| 11687 | 1798: the French Revolution [PG] |
| Full Idea: In 1789 the French Revolution gave strong impetus to the anti-rational 'Romantic' movement | |
| From: PG (Db (chronology) [2030], 2789) |
| 11694 | 1807: Hegel publishes his 'Phenomenology of Spirit' [PG] |
| Full Idea: In 1807 Hegel published his first major work, the 'Phenomenology of Spirit' | |
| From: PG (Db (chronology) [2030], 2807) |
| 11701 | 1818: Schopenhauer publishes his 'World as Will and Idea' [PG] |
| Full Idea: In 1818 Schopenhauer published 'The World as Will and Idea', his major work | |
| From: PG (Db (chronology) [2030], 2818) |
| 11710 | 1840: Kierkegaard is writing extensively in Copenhagen [PG] |
| Full Idea: In around 1840 Kierkegaard lived a quiet life as a writer in Copenhagen | |
| From: PG (Db (chronology) [2030], 2840) |
| 11713 | 1843: Mill publishes his 'System of Logic' [PG] |
| Full Idea: In 1843 Mill published his 'System of Logic' | |
| From: PG (Db (chronology) [2030], 2843) |
| 11715 | 1848: Marx and Engels publis the Communist Manifesto [PG] |
| Full Idea: Karl Marx: In 1848 Marx and Engels published their 'Communist Manifesto' | |
| From: PG (Db (chronology) [2030], 2848) |
| 11717 | 1859: Darwin publishes his 'Origin of the Species' [PG] |
| Full Idea: Charles Darwin: In 1859 Charles Darwin published his theory of natural selection in 'Origin of the Species'. | |
| From: PG (Db (chronology) [2030], 2859) |
| 11721 | 1861: Mill publishes 'Utilitarianism' [PG] |
| Full Idea: In 1861 Mill published his book 'Utilitarianism' | |
| From: PG (Db (chronology) [2030], 2861) |
| 11724 | 1867: Marx begins publishing 'Das Kapital' [PG] |
| Full Idea: Karl Marx: In 1867 Karl Marx began publishing his political work 'Das Kapital' | |
| From: PG (Db (chronology) [2030], 2867) |
| 11733 | 1879: Peirce taught for five years at Johns Hopkins University [PG] |
| Full Idea: In 1879 Peirce began five years of teaching at Johns Hopkins University | |
| From: PG (Db (chronology) [2030], 2879) |
| 17907 | 1879: Frege invents predicate logic [PG] |
| Full Idea: In 1879 Frege published his 'Concept Script', which created predicate logic | |
| From: PG (Db (chronology) [2030], 2879) |
| 17909 | 1892: Frege's essay 'Sense and Reference' [PG] |
| Full Idea: In 1892 Frege published his famous essay 'Sense and Reference' (Sinn und Bedeutung) | |
| From: PG (Db (chronology) [2030], 2882) |
| 17908 | 1884: Frege publishes his 'Foundations of Arithmetic' [PG] |
| Full Idea: In 1884 Frege published his 'Foundations of Arithmetic', the beginning of logicism | |
| From: PG (Db (chronology) [2030], 2884) |
| 11735 | 1885: Nietzsche completed 'Thus Spake Zarathustra' [PG] |
| Full Idea: In about 1885 Nietzsche completed his book 'Also Sprach Zarathustra' | |
| From: PG (Db (chronology) [2030], 2885) |
| 17911 | 1888: Dedekind publishes axioms for arithmetic [PG] |
| Full Idea: In 1888 Dedekind created simple axioms for arithmetic (the Peano Axioms) | |
| From: PG (Db (chronology) [2030], 2888) |
| 11740 | 1890: James published 'Principles of Psychology' [PG] |
| Full Idea: In 1890 James published his 'Principles of Psychology' | |
| From: PG (Db (chronology) [2030], 2890) |
| 11742 | 1895 (roughly): Freud developed theories of the unconscious [PG] |
| Full Idea: In around 1895 Sigmund Freud developed his theories of the unconscious mind | |
| From: PG (Db (chronology) [2030], 2895) |
| 11745 | 1900: Husserl began developing Phenomenology [PG] |
| Full Idea: In 1900 Edmund Husserl began presenting his new philosophy of Phenomenology | |
| From: PG (Db (chronology) [2030], 2900) |
| 11746 | 1903: Moore published 'Principia Ethica' [PG] |
| Full Idea: In 1903 G.E. Moore published his 'Principia Ethica', attacking naturalistic ethics. | |
| From: PG (Db (chronology) [2030], 2903) |
| 11747 | 1904: Dewey became professor at Columbia University [PG] |
| Full Idea: In 1904 Dewey moved to Columbia University in New York. | |
| From: PG (Db (chronology) [2030], 2904) |
| 17910 | 1908: Zermelo publishes axioms for set theory [PG] |
| Full Idea: In 1908 Zermelo published an axiomatisation of the new set theory | |
| From: PG (Db (chronology) [2030], 2908) |
| 11752 | 1910: Russell and Whitehead begin publishing 'Principia Mathematica' [PG] |
| Full Idea: In 1910 Russell began publication of 'Principia Mathematica', with Whitehead | |
| From: PG (Db (chronology) [2030], 2910) |
| 11756 | 1912: Russell meets Wittgenstein in Cambridge [PG] |
| Full Idea: In 1912 Russell met Wittgenstein at Cambridge | |
| From: PG (Db (chronology) [2030], 2912) |
| 11762 | 1921: Wittgenstein's 'Tractatus' published [PG] |
| Full Idea: In 1921 Wittgenstein's 'Tractatus' was published | |
| From: PG (Db (chronology) [2030], 2921) |
| 11765 | 1927: Heidegger's 'Being and Time' published [PG] |
| Full Idea: In 1927 Heidegger's major work, 'Being and Time', was published | |
| From: PG (Db (chronology) [2030], 2927) |
| 11768 | 1930: Frank Ramsey dies at 27 [PG] |
| Full Idea: In 1930 Frank Ramsey died at the age of 27. | |
| From: PG (Db (chronology) [2030], 2930) |
| 11770 | 1931: Gödel's Incompleteness Theorems [PG] |
| Full Idea: Kurt Gödel: In 1931 the mathematician Kurt Gödel publishes his Incompleteness Theorems. | |
| From: PG (Db (chronology) [2030], 2931) |
| 11773 | 1933: Tarski's theory of truth [PG] |
| Full Idea: Alfred Tarski: In 1933 Alfred Tarski wrote a famous paper presenting a semantic theory of truth. | |
| From: PG (Db (chronology) [2030], 2933) |
| 11783 | 1942: Camus published 'The Myth of Sisyphus' [PG] |
| Full Idea: In 1942 Camus published 'The Myth of Sisyphus', exploring suicide and the absurd | |
| From: PG (Db (chronology) [2030], 2942) |
| 11784 | 1943: Sartre's 'Being and Nothingness' [PG] |
| Full Idea: In 1943 Jean-Paul Sartre published his major work, 'Being and Nothingness' | |
| From: PG (Db (chronology) [2030], 2943) |
| 11787 | 1945: Merleau-Ponty's 'Phenomenology of Perception' [PG] |
| Full Idea: Maurice Merleau-Ponty: In 1945 Maurice Merleau-Pont published 'The Phenomenology of Perception' | |
| From: PG (Db (chronology) [2030], 2945) |
| 17918 | 1947: Carnap published 'Meaning and Necessity' [PG] |
| Full Idea: In 1947 Carnap published 'Meaning and Necessity' | |
| From: PG (Db (chronology) [2030], 2947) |
| 11794 | 1950: Quine's essay 'Two Dogmas of Empiricism' [PG] |
| Full Idea: In 1950 Willard Quine published 'Two Dogmas of Empiricism', attacking analytic truth | |
| From: PG (Db (chronology) [2030], 2950) |
| 17917 | 1953: Wittgenstein's 'Philosophical Investigations' [PG] |
| Full Idea: In 1953 Wittgenstein's posthumous work 'Philosophical Investigations' is published | |
| From: PG (Db (chronology) [2030], 2953) |
| 17919 | 1956: Place proposed mind-brain identity [PG] |
| Full Idea: In 1956 U.T. Place proposed that the mind is identical to the brain | |
| From: PG (Db (chronology) [2030], 2956) |
| 11804 | 1962: Kuhn's 'Structure of Scientific Revolutions' [PG] |
| Full Idea: In 1962 Thomas Kuhn's 'Structure of Scientific Revolutions' questioned the authority of science | |
| From: PG (Db (chronology) [2030], 2962) |
| 17921 | 1967: Putnam proposed functionalism of the mind [PG] |
| Full Idea: In 1967 Putname proposed the functionalist view of the mind | |
| From: PG (Db (chronology) [2030], 2967) |
| 11808 | 1971: Rawls's 'A Theory of Justice' [PG] |
| Full Idea: In 1971 John Rawls published his famous defence of liberalism in 'A Theory of Justice' | |
| From: PG (Db (chronology) [2030], 2971) |
| 11810 | 1972: Kripke publishes 'Naming and Necessity' [PG] |
| Full Idea: In 1972 Saul Kripke's 'Naming and Necessity' revised theories about language and reality | |
| From: PG (Db (chronology) [2030], 2972) |
| 11813 | 1975: Singer publishes 'Animal Rights' [PG] |
| Full Idea: Peter Singer: In 1975 Peter Singer's 'Animal Rights' turned the attention of philosophers to applied ethics. | |
| From: PG (Db (chronology) [2030], 2975) |
| 17920 | 1975: Putnam published his Twin Earth example [PG] |
| Full Idea: In 1975 Putnam published 'The Meaning of 'Meaning'', containing his Twin Earth example | |
| From: PG (Db (chronology) [2030], 2975) |
| 11820 | 1986: David Lewis publishes 'On the Plurality of Worlds' [PG] |
| Full Idea: In 1986 David Lewis published 'On the Plurality of Worlds', about possible worlds. | |
| From: PG (Db (chronology) [2030], 2986) |
| 17774 | Definitions make our intuitions mathematically useful [Mayberry] |
| Full Idea: Definition provides us with the means for converting our intuitions into mathematically usable concepts. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1) |
| 17773 | Proof shows that it is true, but also why it must be true [Mayberry] |
| Full Idea: When you have proved something you know not only that it is true, but why it must be true. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-2) | |
| A reaction: Note the word 'must'. Presumably both the grounding and the necessitation of the truth are revealed. |
| 17795 | Set theory can't be axiomatic, because it is needed to express the very notion of axiomatisation [Mayberry] |
| Full Idea: Set theory cannot be an axiomatic theory, because the very notion of an axiomatic theory makes no sense without it. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.413-2) | |
| A reaction: This will come as a surprise to Penelope Maddy, who battles with ways to accept the set theory axioms as the foundation of mathematics. Mayberry says that the basic set theory required is much more simple and intuitive. |
| 17796 | There is a semi-categorical axiomatisation of set-theory [Mayberry] |
| Full Idea: We can give a semi-categorical axiomatisation of set-theory (all that remains undetermined is the size of the set of urelements and the length of the sequence of ordinals). The system is second-order in formalisation. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.413-2) | |
| A reaction: I gather this means the models may not be isomorphic to one another (because they differ in size), but can be shown to isomorphic to some third ingredient. I think. Mayberry says this shows there is no such thing as non-Cantorian set theory. |
| 17800 | The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry] |
| Full Idea: The (misnamed!) Axiom of Infinity expresses Cantor's fundamental assumption that the species of natural numbers is finite in size. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2) |
| 17801 | The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry] |
| Full Idea: The idea of 'generating' sets is only a metaphor - the existence of the hierarchy is established without appealing to such dubious notions. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2) | |
| A reaction: Presumably there can be a 'dependence' or 'determination' relation which does not involve actual generation. |
| 17803 | Limitation of size is part of the very conception of a set [Mayberry] |
| Full Idea: Our very notion of a set is that of an extensional plurality limited in size. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-2) |
| 17786 | The mainstream of modern logic sees it as a branch of mathematics [Mayberry] |
| Full Idea: In the mainstream tradition of modern logic, beginning with Boole, Peirce and Schröder, descending through Löwenheim and Skolem to reach maturity with Tarski and his school ...saw logic as a branch of mathematics. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.410-1) | |
| A reaction: [The lesser tradition, of Frege and Russell, says mathematics is a branch of logic]. Mayberry says the Fregean tradition 'has almost died out'. |
| 17788 | First-order logic only has its main theorems because it is so weak [Mayberry] |
| Full Idea: First-order logic is very weak, but therein lies its strength. Its principle tools (Compactness, Completeness, Löwenheim-Skolem Theorems) can be established only because it is too weak to axiomatize either arithmetic or analysis. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.411-2) | |
| A reaction: He adds the proviso that this is 'unless we are dealing with structures on whose size we have placed an explicit, finite bound' (p.412-1). |
| 17791 | Only second-order logic can capture mathematical structure up to isomorphism [Mayberry] |
| Full Idea: Second-order logic is a powerful tool of definition: by means of it alone we can capture mathematical structure up to isomorphism using simple axiom systems. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1) |
| 17787 | Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry] |
| Full Idea: The 'logica magna' [of the Fregean tradition] has quantifiers ranging over a fixed domain, namely everything there is. In the Boolean tradition the domains differ from interpretation to interpretation. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.410-2) | |
| A reaction: Modal logic displays both approaches, with different systems for global and local domains. |
| 17790 | No Löwenheim-Skolem logic can axiomatise real analysis [Mayberry] |
| Full Idea: No logic which can axiomatize real analysis can have the Löwenheim-Skolem property. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1) |
| 17778 | Axiomatiation relies on isomorphic structures being essentially the same [Mayberry] |
| Full Idea: The central dogma of the axiomatic method is this: isomorphic structures are mathematically indistinguishable in their essential properties. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.406-2) | |
| A reaction: Hence it is not that we have to settle for the success of a system 'up to isomorphism', since that was the original aim. The structures must differ in their non-essential properties, or they would be the same system. |
| 17779 | 'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry] |
| Full Idea: The purpose of a 'classificatory' axiomatic theory is to single out an otherwise disparate species of structures by fixing certain features of morphology. ...The aim is to single out common features. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.406-2) |
| 17780 | 'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry] |
| Full Idea: The purpose of what I am calling 'eliminatory' axiomatic theories is precisely to eliminate from mathematics those peculiar ideal and abstract objects that, on the traditional view, constitute its subject matter. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-1) | |
| A reaction: A very interesting idea. I have a natural antipathy to 'abstract objects', because they really mess up what could otherwise be a very tidy ontology. What he describes might be better called 'ignoring' axioms. The objects may 'exist', but who cares? |
| 17789 | No logic which can axiomatise arithmetic can be compact or complete [Mayberry] |
| Full Idea: No logic which can axiomatise arithmetic can be compact or complete. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1) | |
| A reaction: I take this to be because there are new truths in the transfinite level (as well as the problem of incompleteness). |
| 17784 | Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry] |
| Full Idea: We eliminate the real numbers by giving an axiomatic definition of the species of complete ordered fields. These axioms are categorical (mutually isomorphic), and thus are mathematically indistinguishable. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.408-2) | |
| A reaction: Hence my clever mathematical friend says that it is a terrible misunderstanding to think that mathematics is about numbers. Mayberry says the reals are one ordered field, but mathematics now studies all ordered fields together. |
| 17782 | Greek quantities were concrete, and ratio and proportion were their science [Mayberry] |
| Full Idea: Quantities for Greeks were concrete things - lines, surfaces, solids, times, weights. At the centre of their science of quantity was the beautiful theory of ratio and proportion (...in which the notion of number does not appear!). | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-2) | |
| A reaction: [He credits Eudoxus, and cites Book V of Euclid] |
| 17781 | Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry] |
| Full Idea: The abstract objects of modern mathematics, the real numbers, were invented by the mathematicians of the seventeenth century in order to simplify and to generalize the Greek science of quantity. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-2) |
| 17799 | Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry] |
| Full Idea: In Cantor's new vision, the infinite, the genuine infinite, does not disappear, but presents itself in the guise of the absolute, as manifested in the species of all sets or the species of all ordinal numbers. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2) |
| 17797 | Cantor extended the finite (rather than 'taming the infinite') [Mayberry] |
| Full Idea: We may describe Cantor's achievement by saying, not that he tamed the infinite, but that he extended the finite. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2) |
| 17775 | If proof and definition are central, then mathematics needs and possesses foundations [Mayberry] |
| Full Idea: If we grant, as surely we must, the central importance of proof and definition, then we must also grant that mathematics not only needs, but in fact has, foundations. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1) |
| 17776 | The ultimate principles and concepts of mathematics are presumed, or grasped directly [Mayberry] |
| Full Idea: The ultimate principles upon which mathematics rests are those to which mathematicians appeal without proof; and the primitive concepts of mathematics ...themselves are grasped directly, if grasped at all, without the mediation of definition. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1) | |
| A reaction: This begs the question of whether the 'grasping' is purely a priori, or whether it derives from experience. I defend the latter, and Jenkins puts the case well. |
| 17777 | Foundations need concepts, definition rules, premises, and proof rules [Mayberry] |
| Full Idea: An account of the foundations of mathematics must specify four things: the primitive concepts for use in definitions, the rules governing definitions, the ultimate premises of proofs, and rules allowing advance from premises to conclusions. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-2) |
| 17804 | Axiom theories can't give foundations for mathematics - that's using axioms to explain axioms [Mayberry] |
| Full Idea: No axiomatic theory, formal or informal, of first or of higher order can logically play a foundational role in mathematics. ...It is obvious that you cannot use the axiomatic method to explain what the axiomatic method is. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-2) |
| 17792 | 1st-order PA is only interesting because of results which use 2nd-order PA [Mayberry] |
| Full Idea: The sole theoretical interest of first-order Peano arithmetic derives from the fact that it is a first-order reduct of a categorical second-order theory. Its axioms can be proved incomplete only because the second-order theory is categorical. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1) |
| 17793 | It is only 2nd-order isomorphism which suggested first-order PA completeness [Mayberry] |
| Full Idea: If we did not know that the second-order axioms characterise the natural numbers up to isomorphism, we should have no reason to suppose, a priori, that first-order Peano Arithmetic should be complete. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1) |
| 17794 | Set theory is not just first-order ZF, because that is inadequate for mathematics [Mayberry] |
| Full Idea: The idea that set theory must simply be identified with first-order Zermelo-Fraenkel is surprisingly widespread. ...The first-order axiomatic theory of sets is clearly inadequate as a foundation of mathematics. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-2) | |
| A reaction: [He is agreeing with a quotation from Skolem]. |
| 17802 | We don't translate mathematics into set theory, because it comes embodied in that way [Mayberry] |
| Full Idea: One does not have to translate 'ordinary' mathematics into the Zermelo-Fraenkel system: ordinary mathematics comes embodied in that system. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-1) | |
| A reaction: Mayberry seems to be a particular fan of set theory as spelling out the underlying facts of mathematics, though it has to be second-order. |
| 17805 | Set theory is not just another axiomatised part of mathematics [Mayberry] |
| Full Idea: The fons et origo of all confusion is the view that set theory is just another axiomatic theory and the universe of sets just another mathematical structure. ...The universe of sets ...is the world that all mathematical structures inhabit. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.416-1) |
| 17785 | Real numbers as abstracted objects are now treated as complete ordered fields [Mayberry] |
| Full Idea: The abstractness of the old fashioned real numbers has been replaced by generality in the modern theory of complete ordered fields. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.408-2) | |
| A reaction: In philosophy, I'm increasingly thinking that we should talk much more of 'generality', and a great deal less about 'universals'. (By which I don't mean that redness is just the set of red things). |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |