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All the ideas for 'The Evolution of Logic', 'Repetition' and 'Db (chronology)'

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165 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / a. Ancient chronology
323 (roughly): Euclid wrote 'Elements', summarising all of geometry [PG]
1000 (roughly): Upanishads written (in Sanskrit); religious and philosophical texts [PG]
750 (roughly): the Book of Genesis written by Hebrew writers [PG]
586: eclipse of the sun on the coast of modern Turkey was predicted by Thales of Miletus [PG]
570: Anaximander flourished in Miletus [PG]
563: the Buddha born in northern India [PG]
540: Lao Tzu wrote 'Tao Te Ching', the basis of Taoism [PG]
529: Pythagoras created his secretive community at Croton in Sicily [PG]
500: Heraclitus flourishes at Ephesus, in modern Turkey [PG]
496: Confucius travels widely, persuading rulers to be more moral [PG]
472: Empedocles persuades his city (Acragas in Sicily) to become a democracy [PG]
450 (roughly): Parmenides and Zeno visit Athens from Italy [PG]
445: Protagoras helps write laws for the new colony of Thurii [PG]
436 (roughly): Anaxagoras is tried for impiety, and expelled from Athens [PG]
170 (roughly): Marcus Aurelius wrote his private stoic meditations [PG]
-200 (roughly): Sextus Empiricus wrote a series of books on scepticism [PG]
263: Porphyry began to study with Plotinus in Rome [PG]
310: Christianity became the official religion of the Roman empire [PG]
387: Ambrose converts Augustine to Christianity [PG]
523: Boethius imprisoned at Pavia, and begins to write [PG]
529: the emperor Justinian closes all the philosophy schools in Athens [PG]
427: Gorgias visited Athens as ambassador for Leontini [PG]
399: Socrates executed (with Plato absent through ill health) [PG]
387 (roughly): Plato returned to Athens, and founded the Academy [PG]
387 (roughly): Aristippus the Elder founder a hedonist school at Cyrene [PG]
367: the teenaged Aristotle came to study at the Academy [PG]
360 (roughly): Diogenes of Sinope lives in a barrel in central Athens [PG]
347: death of Plato [PG]
343: Aristotle becomes tutor to 13 year old Alexander (the Great) [PG]
335: Arisotle founded his school at the Lyceum in Athens [PG]
330 (roughly): Chuang Tzu wrote his Taoist book [PG]
322: Aristotle retired to Chalcis, and died there [PG]
307 (roughly): Epicurus founded his school at the Garden in Athens [PG]
301 (roughly): Zeno of Citium founded Stoicism at the Stoa Poikile in Athens [PG]
261: Cleanthes replaced Zeno as head of the Stoa [PG]
229 (roughly): Chrysippus replaced Cleanthes has head of the Stoa [PG]
157 (roughly): Carneades became head of the Academy [PG]
85: most philosophical activity moves to Alexandria [PG]
78: Cicero visited the stoic school on Rhodes [PG]
60 (roughly): Lucretius wrote his Latin poem on epicureanism [PG]
65: Seneca forced to commit suicide by Nero [PG]
80: the discourses of the stoic Epictetus are written down [PG]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / a. Earlier European chronology
1090: Anselm publishes his proof of the existence of God [PG]
622 (roughly): Mohammed writes the Koran [PG]
642: Arabs close the philosophy schools in Alexandria [PG]
910 (roughly): Al-Farabi wrote Arabic commentaries on Aristotle [PG]
1015 (roughly): Ibn Sina (Avicenna) writes a book on Aristotle [PG]
1115: Abelard is the chief logic teacher in Paris [PG]
1166: Ibn Rushd (Averroes) wrote extensive commentaries on Aristotle [PG]
1266: Aquinas began writing 'Summa Theologica' [PG]
1280: after his death, the teaching of Aquinas becomes official Dominican doctrine [PG]
1328: William of Ockham decides the Pope is a heretic, and moves to Munich [PG]
1347: the Church persecutes philosophical heresies [PG]
1470: Marsilio Ficino founds a Platonic Academy in Florence [PG]
1513: Machiavelli wrote 'The Prince' [PG]
1543: Copernicus publishes his heliocentric view of the solar system [PG]
1580: Montaigne publishes his essays [PG]
1600: Giordano Bruno was burned at the stake in Rome [PG]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / a. Later European chronology
1619: Descartes's famous day of meditation inside a stove [PG]
1620: Bacon publishes 'Novum Organum' [PG]
1633: Galileo convicted of heresy by the Inquisition [PG]
1641: Descartes publishes his 'Meditations' [PG]
1650: death of Descartes, in Stockholm [PG]
1651: Hobbes publishes 'Leviathan' [PG]
1662: the Port Royal Logic is published [PG]
1665: Spinoza writes his 'Ethics' [PG]
1676: Leibniz settled as librarian to the Duke of Brunswick [PG]
1687: Newton publishes his 'Principia Mathematica' [PG]
1690: Locke publishes his 'Essay' [PG]
1697: Bayle publishes his 'Dictionary' [PG]
1713: Berkeley publishes his 'Three Dialogues' [PG]
1734: Voltaire publishes his 'Philosophical Letters' [PG]
1739: Hume publishes his 'Treatise' [PG]
1762: Rousseau publishes his 'Social Contract' [PG]
1781: Kant publishes his 'Critique of Pure Reason' [PG]
1785: Reid publishes his essays defending common sense [PG]
1798: the French Revolution [PG]
1807: Hegel publishes his 'Phenomenology of Spirit' [PG]
1818: Schopenhauer publishes his 'World as Will and Idea' [PG]
1840: Kierkegaard is writing extensively in Copenhagen [PG]
1843: Mill publishes his 'System of Logic' [PG]
1848: Marx and Engels publis the Communist Manifesto [PG]
1859: Darwin publishes his 'Origin of the Species' [PG]
1861: Mill publishes 'Utilitarianism' [PG]
1867: Marx begins publishing 'Das Kapital' [PG]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
We are all post-Kantians, because he set the current agenda for philosophy [Hart,WD]
1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / a. Modern philosophy chronology
1879: Peirce taught for five years at Johns Hopkins University [PG]
1879: Frege invents predicate logic [PG]
1892: Frege's essay 'Sense and Reference' [PG]
1884: Frege publishes his 'Foundations of Arithmetic' [PG]
1885: Nietzsche completed 'Thus Spake Zarathustra' [PG]
1888: Dedekind publishes axioms for arithmetic [PG]
1890: James published 'Principles of Psychology' [PG]
1895 (roughly): Freud developed theories of the unconscious [PG]
1900: Husserl began developing Phenomenology [PG]
1953: Wittgenstein's 'Philosophical Investigations' [PG]
1956: Place proposed mind-brain identity [PG]
1962: Kuhn's 'Structure of Scientific Revolutions' [PG]
1967: Putnam proposed functionalism of the mind [PG]
1971: Rawls's 'A Theory of Justice' [PG]
1972: Kripke publishes 'Naming and Necessity' [PG]
1975: Singer publishes 'Animal Rights' [PG]
1975: Putnam published his Twin Earth example [PG]
1986: David Lewis publishes 'On the Plurality of Worlds' [PG]
1903: Moore published 'Principia Ethica' [PG]
1904: Dewey became professor at Columbia University [PG]
1908: Zermelo publishes axioms for set theory [PG]
1910: Russell and Whitehead begin publishing 'Principia Mathematica' [PG]
1912: Russell meets Wittgenstein in Cambridge [PG]
1921: Wittgenstein's 'Tractatus' published [PG]
1927: Heidegger's 'Being and Time' published [PG]
1930: Frank Ramsey dies at 27 [PG]
1931: Gödel's Incompleteness Theorems [PG]
1933: Tarski's theory of truth [PG]
1942: Camus published 'The Myth of Sisyphus' [PG]
1943: Sartre's 'Being and Nothingness' [PG]
1945: Merleau-Ponty's 'Phenomenology of Perception' [PG]
1947: Carnap published 'Meaning and Necessity' [PG]
1950: Quine's essay 'Two Dogmas of Empiricism' [PG]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
The problems are the monuments of philosophy [Hart,WD]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
To study abstract problems, some knowledge of set theory is essential [Hart,WD]
3. Truth / A. Truth Problems / 8. Subjective Truth
Subjective truth can only be sustained by repetition [Kierkegaard, by Carlisle]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Tarski showed how we could have a correspondence theory of truth, without using 'facts' [Hart,WD]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Truth for sentences is satisfaction of formulae; for sentences, either all sequences satisfy it (true) or none do [Hart,WD]
3. Truth / F. Semantic Truth / 2. Semantic Truth
A first-order language has an infinity of T-sentences, which cannot add up to a definition of truth [Hart,WD]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / c. Derivation rules of PL
Conditional Proof: infer a conditional, if the consequent can be deduced from the antecedent [Hart,WD]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / e. Existential quantifier ∃
∃y... is read as 'There exists an individual, call it y, such that...', and not 'There exists a y such that...' [Hart,WD]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory articulates the concept of order (through relations) [Hart,WD]
Nowadays ZFC and NBG are the set theories; types are dead, and NF is only useful for the whole universe [Hart,WD]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / a. Symbols of ST
∈ relates across layers, while ⊆ relates within layers [Hart,WD]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Without the empty set we could not form a∩b without checking that a and b meet [Hart,WD]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
In the modern view, foundation is the heart of the way to do set theory [Hart,WD]
Foundation Axiom: an nonempty set has a member disjoint from it [Hart,WD]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
With the Axiom of Choice every set can be well-ordered [Hart,WD]
We can choose from finite and evident sets, but not from infinite opaque ones [Hart,WD]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
If we accept that V=L, it seems to settle all the open questions of set theory [Hart,WD]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception may not be necessary, and may have fixed points or infinitely descending chains [Hart,WD]
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
'Well-ordering' must have a least member, so it does the natural numbers but not the integers [Hart,WD]
A partial ordering becomes 'total' if any two members of its field are comparable [Hart,WD]
A 'partial ordering' is irreflexive and transitive; the sets are ordered, but not the subsets [Hart,WD]
Von Neumann defines α<β as α∈β [Hart,WD]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe sets should be rethought in terms of the even more basic categories [Hart,WD]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are ways the world might be from a first-order point of view [Hart,WD]
Model theory studies how set theory can model sets of sentences [Hart,WD]
Model theory is mostly confined to first-order theories [Hart,WD]
Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD]
5. Theory of Logic / K. Features of Logics / 6. Compactness
First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The less-than relation < well-orders, and partially orders, and totally orders the ordinal numbers [Hart,WD]
There are at least as many infinite cardinals as transfinite ordinals (because they will map) [Hart,WD]
The axiom of infinity with separation gives a least limit ordinal ω [Hart,WD]
Von Neumann's ordinals generalise into the transfinite better, because Zermelo's ω is a singleton [Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
19th century arithmetization of analysis isolated the real numbers from geometry [Hart,WD]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
We can establish truths about infinite numbers by means of induction [Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematics makes existence claims, but philosophers usually say those are never analytic [Hart,WD]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Mass words do not have plurals, or numerical adjectives, or use 'fewer' [Hart,WD]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Fregean self-evidence is an intrinsic property of basic truths, rules and definitions [Hart,WD]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
The failure of key assumptions in geometry, mereology and set theory throw doubt on the a priori [Hart,WD]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
The Fregean concept of GREEN is a function assigning true to green things, and false to the rest [Hart,WD]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Life is a repetition when what has been now becomes [Kierkegaard]