160 ideas
11461 | 323 (roughly): Euclid wrote 'Elements', summarising all of geometry [PG] |
11390 | 1000 (roughly): Upanishads written (in Sanskrit); religious and philosophical texts [PG] |
11391 | 750 (roughly): the Book of Genesis written by Hebrew writers [PG] |
11392 | 586: eclipse of the sun on the coast of modern Turkey was predicted by Thales of Miletus [PG] |
11395 | 570: Anaximander flourished in Miletus [PG] |
11396 | 563: the Buddha born in northern India [PG] |
11398 | 540: Lao Tzu wrote 'Tao Te Ching', the basis of Taoism [PG] |
11400 | 529: Pythagoras created his secretive community at Croton in Sicily [PG] |
11403 | 500: Heraclitus flourishes at Ephesus, in modern Turkey [PG] |
11404 | 496: Confucius travels widely, persuading rulers to be more moral [PG] |
11408 | 472: Empedocles persuades his city (Acragas in Sicily) to become a democracy [PG] |
11412 | 450 (roughly): Parmenides and Zeno visit Athens from Italy [PG] |
11414 | 445: Protagoras helps write laws for the new colony of Thurii [PG] |
11417 | 436 (roughly): Anaxagoras is tried for impiety, and expelled from Athens [PG] |
11421 | 427: Gorgias visited Athens as ambassador for Leontini [PG] |
11425 | 399: Socrates executed (with Plato absent through ill health) [PG] |
11432 | 387 (roughly): Plato returned to Athens, and founded the Academy [PG] |
11433 | 387 (roughly): Aristippus the Elder founder a hedonist school at Cyrene [PG] |
11440 | 367: the teenaged Aristotle came to study at the Academy [PG] |
11443 | 360 (roughly): Diogenes of Sinope lives in a barrel in central Athens [PG] |
11445 | 347: death of Plato [PG] |
11454 | 343: Aristotle becomes tutor to 13 year old Alexander (the Great) [PG] |
11456 | 335: Arisotle founded his school at the Lyceum in Athens [PG] |
11459 | 330 (roughly): Chuang Tzu wrote his Taoist book [PG] |
11465 | 322: Aristotle retired to Chalcis, and died there [PG] |
11468 | 307 (roughly): Epicurus founded his school at the Garden in Athens [PG] |
11470 | 301 (roughly): Zeno of Citium founded Stoicism at the Stoa Poikile in Athens [PG] |
11483 | 261: Cleanthes replaced Zeno as head of the Stoa [PG] |
11486 | 229 (roughly): Chrysippus replaced Cleanthes has head of the Stoa [PG] |
11492 | 157 (roughly): Carneades became head of the Academy [PG] |
11509 | 85: most philosophical activity moves to Alexandria [PG] |
11513 | 78: Cicero visited the stoic school on Rhodes [PG] |
11516 | 60 (roughly): Lucretius wrote his Latin poem on epicureanism [PG] |
11528 | 65: Seneca forced to commit suicide by Nero [PG] |
11531 | 80: the discourses of the stoic Epictetus are written down [PG] |
11535 | 170 (roughly): Marcus Aurelius wrote his private stoic meditations [PG] |
11537 | -200 (roughly): Sextus Empiricus wrote a series of books on scepticism [PG] |
11541 | 263: Porphyry began to study with Plotinus in Rome [PG] |
11545 | 310: Christianity became the official religion of the Roman empire [PG] |
11549 | 387: Ambrose converts Augustine to Christianity [PG] |
11555 | 523: Boethius imprisoned at Pavia, and begins to write [PG] |
11557 | 529: the emperor Justinian closes all the philosophy schools in Athens [PG] |
11558 | 622 (roughly): Mohammed writes the Koran [PG] |
11559 | 642: Arabs close the philosophy schools in Alexandria [PG] |
11560 | 910 (roughly): Al-Farabi wrote Arabic commentaries on Aristotle [PG] |
11562 | 1015 (roughly): Ibn Sina (Avicenna) writes a book on Aristotle [PG] |
11564 | 1090: Anselm publishes his proof of the existence of God [PG] |
11566 | 1115: Abelard is the chief logic teacher in Paris [PG] |
11573 | 1166: Ibn Rushd (Averroes) wrote extensive commentaries on Aristotle [PG] |
11581 | 1266: Aquinas began writing 'Summa Theologica' [PG] |
11586 | 1280: after his death, the teaching of Aquinas becomes official Dominican doctrine [PG] |
11591 | 1328: William of Ockham decides the Pope is a heretic, and moves to Munich [PG] |
17916 | 1347: the Church persecutes philosophical heresies [PG] |
11593 | 1470: Marsilio Ficino founds a Platonic Academy in Florence [PG] |
11596 | 1513: Machiavelli wrote 'The Prince' [PG] |
11599 | 1543: Copernicus publishes his heliocentric view of the solar system [PG] |
11601 | 1580: Montaigne publishes his essays [PG] |
11607 | 1600: Giordano Bruno was burned at the stake in Rome [PG] |
11613 | 1619: Descartes's famous day of meditation inside a stove [PG] |
11614 | 1620: Bacon publishes 'Novum Organum' [PG] |
11619 | 1633: Galileo convicted of heresy by the Inquisition [PG] |
11623 | 1641: Descartes publishes his 'Meditations' [PG] |
11626 | 1650: death of Descartes, in Stockholm [PG] |
11627 | 1651: Hobbes publishes 'Leviathan' [PG] |
11633 | 1662: the Port Royal Logic is published [PG] |
11634 | 1665: Spinoza writes his 'Ethics' [PG] |
11643 | 1676: Leibniz settled as librarian to the Duke of Brunswick [PG] |
11649 | 1687: Newton publishes his 'Principia Mathematica' [PG] |
11652 | 1690: Locke publishes his 'Essay' [PG] |
11654 | 1697: Bayle publishes his 'Dictionary' [PG] |
11659 | 1713: Berkeley publishes his 'Three Dialogues' [PG] |
11666 | 1734: Voltaire publishes his 'Philosophical Letters' [PG] |
11667 | 1739: Hume publishes his 'Treatise' [PG] |
11675 | 1762: Rousseau publishes his 'Social Contract' [PG] |
11682 | 1781: Kant publishes his 'Critique of Pure Reason' [PG] |
11683 | 1785: Reid publishes his essays defending common sense [PG] |
11687 | 1798: the French Revolution [PG] |
11694 | 1807: Hegel publishes his 'Phenomenology of Spirit' [PG] |
11701 | 1818: Schopenhauer publishes his 'World as Will and Idea' [PG] |
11710 | 1840: Kierkegaard is writing extensively in Copenhagen [PG] |
11713 | 1843: Mill publishes his 'System of Logic' [PG] |
11715 | 1848: Marx and Engels publis the Communist Manifesto [PG] |
11717 | 1859: Darwin publishes his 'Origin of the Species' [PG] |
11721 | 1861: Mill publishes 'Utilitarianism' [PG] |
11724 | 1867: Marx begins publishing 'Das Kapital' [PG] |
11733 | 1879: Peirce taught for five years at Johns Hopkins University [PG] |
17907 | 1879: Frege invents predicate logic [PG] |
17909 | 1892: Frege's essay 'Sense and Reference' [PG] |
17908 | 1884: Frege publishes his 'Foundations of Arithmetic' [PG] |
11735 | 1885: Nietzsche completed 'Thus Spake Zarathustra' [PG] |
17911 | 1888: Dedekind publishes axioms for arithmetic [PG] |
11740 | 1890: James published 'Principles of Psychology' [PG] |
11742 | 1895 (roughly): Freud developed theories of the unconscious [PG] |
11745 | 1900: Husserl began developing Phenomenology [PG] |
11746 | 1903: Moore published 'Principia Ethica' [PG] |
11747 | 1904: Dewey became professor at Columbia University [PG] |
17910 | 1908: Zermelo publishes axioms for set theory [PG] |
11752 | 1910: Russell and Whitehead begin publishing 'Principia Mathematica' [PG] |
11756 | 1912: Russell meets Wittgenstein in Cambridge [PG] |
11762 | 1921: Wittgenstein's 'Tractatus' published [PG] |
11765 | 1927: Heidegger's 'Being and Time' published [PG] |
11768 | 1930: Frank Ramsey dies at 27 [PG] |
11770 | 1931: Gödel's Incompleteness Theorems [PG] |
11773 | 1933: Tarski's theory of truth [PG] |
11783 | 1942: Camus published 'The Myth of Sisyphus' [PG] |
11784 | 1943: Sartre's 'Being and Nothingness' [PG] |
11787 | 1945: Merleau-Ponty's 'Phenomenology of Perception' [PG] |
17918 | 1947: Carnap published 'Meaning and Necessity' [PG] |
11794 | 1950: Quine's essay 'Two Dogmas of Empiricism' [PG] |
17917 | 1953: Wittgenstein's 'Philosophical Investigations' [PG] |
17919 | 1956: Place proposed mind-brain identity [PG] |
11804 | 1962: Kuhn's 'Structure of Scientific Revolutions' [PG] |
17921 | 1967: Putnam proposed functionalism of the mind [PG] |
11808 | 1971: Rawls's 'A Theory of Justice' [PG] |
11810 | 1972: Kripke publishes 'Naming and Necessity' [PG] |
11813 | 1975: Singer publishes 'Animal Rights' [PG] |
17920 | 1975: Putnam published his Twin Earth example [PG] |
11820 | 1986: David Lewis publishes 'On the Plurality of Worlds' [PG] |
8721 | An 'impredicative' definition seems circular, because it uses the term being defined [Friend] |
8680 | Classical definitions attempt to refer, but intuitionist/constructivist definitions actually create objects [Friend] |
3678 | Reductio ad absurdum proves an idea by showing that its denial produces contradiction [Friend] |
8705 | Anti-realists see truth as our servant, and epistemically contrained [Friend] |
8713 | In classical/realist logic the connectives are defined by truth-tables [Friend] |
8708 | Double negation elimination is not valid in intuitionist logic [Friend] |
8694 | Free logic was developed for fictional or non-existent objects [Friend] |
8665 | A 'proper subset' of A contains only members of A, but not all of them [Friend] |
8672 | A 'powerset' is all the subsets of a set [Friend] |
8677 | Set theory makes a minimum ontological claim, that the empty set exists [Friend] |
8666 | Infinite sets correspond one-to-one with a subset [Friend] |
8682 | Major set theories differ in their axioms, and also over the additional axioms of choice and infinity [Friend] |
8709 | The law of excluded middle is syntactic; it just says A or not-A, not whether they are true or false [Friend] |
8711 | Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend] |
8675 | Paradoxes can be solved by talking more loosely of 'classes' instead of 'sets' [Friend] |
8674 | The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend] |
8667 | The 'integers' are the positive and negative natural numbers, plus zero [Friend] |
8668 | The 'rational' numbers are those representable as fractions [Friend] |
8670 | A number is 'irrational' if it cannot be represented as a fraction [Friend] |
8661 | The natural numbers are primitive, and the ordinals are up one level of abstraction [Friend] |
8664 | Cardinal numbers answer 'how many?', with the order being irrelevant [Friend] |
8671 | The 'real' numbers (rationals and irrationals combined) is the Continuum, which has no gaps [Friend] |
8663 | Raising omega to successive powers of omega reveal an infinity of infinities [Friend] |
8662 | The first limit ordinal is omega (greater, but without predecessor), and the second is twice-omega [Friend] |
8669 | Between any two rational numbers there is an infinite number of rational numbers [Friend] |
8676 | Is mathematics based on sets, types, categories, models or topology? [Friend] |
8678 | Most mathematical theories can be translated into the language of set theory [Friend] |
8701 | The number 8 in isolation from the other numbers is of no interest [Friend] |
8702 | In structuralism the number 8 is not quite the same in different structures, only equivalent [Friend] |
8699 | Are structures 'ante rem' (before reality), or are they 'in re' (grounded in physics)? [Friend] |
8696 | Structuralist says maths concerns concepts about base objects, not base objects themselves [Friend] |
8695 | Structuralism focuses on relations, predicates and functions, with objects being inessential [Friend] |
8700 | 'In re' structuralism says that the process of abstraction is pattern-spotting [Friend] |
8681 | The big problem for platonists is epistemic: how do we perceive, intuit, know or detect mathematical facts? [Friend] |
8712 | Mathematics should be treated as true whenever it is indispensable to our best physical theory [Friend] |
8716 | Formalism is unconstrained, so cannot indicate importance, or directions for research [Friend] |
8706 | Constructivism rejects too much mathematics [Friend] |
8707 | Intuitionists typically retain bivalence but reject the law of excluded middle [Friend] |
8704 | Structuralists call a mathematical 'object' simply a 'place in a structure' [Friend] |
8685 | Studying biology presumes the laws of chemistry, and it could never contradict them [Friend] |
8688 | Concepts can be presented extensionally (as objects) or intensionally (as a characterization) [Friend] |
6017 | Nomos is king [Pindar] |