171 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] |
13466 | We are all post-Kantians, because he set the current agenda for philosophy [Hart,WD] |
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] |
13477 | The problems are the monuments of philosophy [Hart,WD] |
13515 | To study abstract problems, some knowledge of set theory is essential [Hart,WD] |
13469 | Tarski showed how we could have a correspondence theory of truth, without using 'facts' [Hart,WD] |
13504 | Truth for sentences is satisfaction of formulae; for sentences, either all sequences satisfy it (true) or none do [Hart,WD] |
13503 | A first-order language has an infinity of T-sentences, which cannot add up to a definition of truth [Hart,WD] |
13500 | Conditional Proof: infer a conditional, if the consequent can be deduced from the antecedent [Hart,WD] |
13502 | ∃y... is read as 'There exists an individual, call it y, such that...', and not 'There exists a y such that...' [Hart,WD] |
16985 | Possible worlds allowed the application of set-theoretic models to modal logic [Kripke] |
13456 | Set theory articulates the concept of order (through relations) [Hart,WD] |
13497 | Nowadays ZFC and NBG are the set theories; types are dead, and NF is only useful for the whole universe [Hart,WD] |
13443 | ∈ relates across layers, while ⊆ relates within layers [Hart,WD] |
13442 | Without the empty set we could not form a∩b without checking that a and b meet [Hart,WD] |
13493 | In the modern view, foundation is the heart of the way to do set theory [Hart,WD] |
13495 | Foundation Axiom: an nonempty set has a member disjoint from it [Hart,WD] |
13461 | We can choose from finite and evident sets, but not from infinite opaque ones [Hart,WD] |
13462 | With the Axiom of Choice every set can be well-ordered [Hart,WD] |
13516 | If we accept that V=L, it seems to settle all the open questions of set theory [Hart,WD] |
13441 | Naïve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD] |
13494 | The iterative conception may not be necessary, and may have fixed points or infinitely descending chains [Hart,WD] |
13457 | A 'partial ordering' is irreflexive and transitive; the sets are ordered, but not the subsets [Hart,WD] |
13458 | A partial ordering becomes 'total' if any two members of its field are comparable [Hart,WD] |
13460 | 'Well-ordering' must have a least member, so it does the natural numbers but not the integers [Hart,WD] |
13490 | Von Neumann defines α<β as α∈β [Hart,WD] |
13481 | Maybe sets should be rethought in terms of the even more basic categories [Hart,WD] |
16982 | A man has two names if the historical chains are different - even if they are the same! [Kripke] |
13506 | The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD] |
13512 | Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD] |
13505 | Model theory studies how set theory can model sets of sentences [Hart,WD] |
13511 | Model theory is mostly confined to first-order theories [Hart,WD] |
13513 | Models are ways the world might be from a first-order point of view [Hart,WD] |
13496 | First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD] |
13484 | Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD] |
13482 | The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD] |
13507 | The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD] |
13459 | The less-than relation < well-orders, and partially orders, and totally orders the ordinal numbers [Hart,WD] |
13491 | The axiom of infinity with separation gives a least limit ordinal ω [Hart,WD] |
13463 | There are at least as many infinite cardinals as transfinite ordinals (because they will map) [Hart,WD] |
13492 | Von Neumann's ordinals generalise into the transfinite better, because Zermelo's ω is a singleton [Hart,WD] |
13446 | 19th century arithmetization of analysis isolated the real numbers from geometry [Hart,WD] |
13509 | We can establish truths about infinite numbers by means of induction [Hart,WD] |
13474 | Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD] |
13471 | Mathematics makes existence claims, but philosophers usually say those are never analytic [Hart,WD] |
13488 | Mass words do not have plurals, or numerical adjectives, or use 'fewer' [Hart,WD] |
16981 | With the necessity of self-identity plus Leibniz's Law, identity has to be an 'internal' relation [Kripke] |
4942 | The indiscernibility of identicals is as self-evident as the law of contradiction [Kripke] |
16984 | I don't think possible worlds reductively reveal the natures of modal operators etc. [Kripke] |
9385 | The very act of designating of an object with properties gives knowledge of a contingent truth [Kripke] |
4943 | Instead of talking about possible worlds, we can always say "It is possible that.." [Kripke] |
16983 | Probability with dice uses possible worlds, abstractions which fictionally simplify things [Kripke] |
13480 | Fregean self-evidence is an intrinsic property of basic truths, rules and definitions [Hart,WD] |
13476 | The failure of key assumptions in geometry, mereology and set theory throw doubt on the a priori [Hart,WD] |
13475 | The Fregean concept of GREEN is a function assigning true to green things, and false to the rest [Hart,WD] |