120-399: Gottfried Wilhelm Leibniz or Leibnitz (1 July 1646 [ O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician , philosopher , scientist and diplomat who is credited, alongside Sir Isaac Newton , with the invention of calculus in addition to many other branches of mathematics , such as binary arithmetic, and statistics . Leibniz has been called
240-526: A dissertation Specimen Quaestionum Philosophicarum ex Jure collectarum ( An Essay of Collected Philosophical Problems of Right ), arguing for both a theoretical and a pedagogical relationship between philosophy and law. After one year of legal studies, he was awarded his bachelor's degree in Law on 28 September 1665. His dissertation was titled De conditionibus ( On Conditions ). In early 1666, at age 19, Leibniz wrote his first book, De Arte Combinatoria ( On
360-642: A calendar change, respectively. Usually, they refer to the change from the Julian calendar to the Gregorian calendar as enacted in various European countries between 1582 and 1923. In England , Wales , Ireland and Britain's American colonies , there were two calendar changes, both in 1752. The first adjusted the start of a new year from 25 March ( Lady Day , the Feast of the Annunciation ) to 1 January,
480-544: A change which Scotland had made in 1600. The second discarded the Julian calendar in favour of the Gregorian calendar, skipping 11 days in the month of September to do so. To accommodate the two calendar changes, writers used dual dating to identify a given day by giving its date according to both styles of dating. For countries such as Russia where no start-of-year adjustment took place, O.S. and N.S. simply indicate
600-725: A fair part of his assigned task: when the material Leibniz had written and collected for his history of the House of Brunswick was finally published in the 19th century, it filled three volumes. Leibniz was appointed Librarian of the Herzog August Library in Wolfenbüttel , Lower Saxony , in 1691. In 1708, John Keill , writing in the journal of the Royal Society and with Newton's presumed blessing, accused Leibniz of having plagiarised Newton's calculus. Thus began
720-510: A geometry book as an example to explain his reasoning. If this book was copied from an infinite chain of copies, there must be some reason for the content of the book. Leibniz concluded that there must be the " monas monadum " or God. The ontological essence of a monad is its irreducible simplicity. Unlike atoms, monads possess no material or spatial character. They also differ from atoms by their complete mutual independence, so that interactions among monads are only apparent. Instead, by virtue of
840-603: A journal article titled "New System of the Nature and Communication of Substances". Between 1695 and 1705, he composed his New Essays on Human Understanding , a lengthy commentary on John Locke 's 1690 An Essay Concerning Human Understanding , but upon learning of Locke's 1704 death, lost the desire to publish it, so that the New Essays were not published until 1765. The Monadologie , composed in 1714 and published posthumously, consists of 90 aphorisms. Leibniz also wrote
960-612: A key role in advancing his mathematical and scientific reputation, which in turn enhanced his eminence in diplomacy, history, theology, and philosophy. The Elector Ernest Augustus commissioned Leibniz to write a history of the House of Brunswick, going back to the time of Charlemagne or earlier, hoping that the resulting book would advance his dynastic ambitions. From 1687 to 1690, Leibniz traveled extensively in Germany, Austria, and Italy, seeking and finding archival materials bearing on this project. Decades went by but no history appeared;
1080-459: A letter dated "12/22 Dec. 1635". In his biography of John Dee , The Queen's Conjurer , Benjamin Woolley surmises that because Dee fought unsuccessfully for England to embrace the 1583/84 date set for the change, "England remained outside the Gregorian system for a further 170 years, communications during that period customarily carrying two dates". In contrast, Thomas Jefferson , who lived while
1200-544: A meticulous study (informed by the 1999 additions to the critical edition) of all of Leibniz's philosophical writings up to 1688, Mercer (2001) disagreed with Couturat's reading. Leibniz met Baruch Spinoza in 1676, read some of his unpublished writings, and had since been influenced by some of Spinoza's ideas. While Leibniz befriended him and admired Spinoza's powerful intellect, he was also dismayed by Spinoza's conclusions, especially when these were inconsistent with Christian orthodoxy. Unlike Descartes and Spinoza, Leibniz had
1320-405: A philosopher, he was a leading representative of 17th-century rationalism and idealism . As a mathematician, his major achievement was the development of the main ideas of differential and integral calculus , independently of Isaac Newton 's contemporaneous developments. Mathematicians have consistently favored Leibniz's notation as the conventional and more exact expression of calculus. In
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#17327910818861440-410: A post he held for the rest of his life. Leibniz served three consecutive rulers of the House of Brunswick as historian, political adviser, and most consequentially, as librarian of the ducal library. He thenceforth employed his pen on all the various political, historical, and theological matters involving the House of Brunswick; the resulting documents form a valuable part of the historical record for
1560-581: A program conducted by medieval Christian thinkers attempting to harmonize the various authorities of their own tradition, and to reconcile Christian theology with classical and late antiquity philosophy, especially that of Aristotle but also of Neoplatonism . The Scholastics, also known as Schoolmen , included as its main figures Anselm of Canterbury ("the father of scholasticism" ), Peter Abelard , Alexander of Hales , Albertus Magnus , Duns Scotus , William of Ockham , Bonaventure , and Thomas Aquinas . Aquinas's masterwork Summa Theologica (1265–1274)
1680-484: A question to the teacher unannounced – disputationes de quodlibet . In this case, the teacher responded and the students rebutted; on the following day the teacher, having used notes taken during the disputation, summarised all arguments and presented his final position, riposting all rebuttals. The quaestio method of reasoning was initially used especially when two authoritative texts seemed to contradict one another. Two contradictory propositions would be considered in
1800-411: A range of works by William of Conches that attempted to reconcile the use of classical pagan and philosophical sources in a medieval Christian concept using the kludge of integumentum , treating the obviously heretical surface meanings as coverings disguising a deeper (and more orthodox) truth. Abelard himself was condemned by Bernard of Clairvaux at the 1141 Council of Sens and William avoided
1920-651: A related mission to the English government in London, early in 1673. There Leibniz came into acquaintance of Henry Oldenburg and John Collins . He met with the Royal Society where he demonstrated a calculating machine that he had designed and had been building since 1670. The machine was able to execute all four basic operations (adding, subtracting, multiplying, and dividing), and the society quickly made him an external member. The mission ended abruptly when news of
2040-676: A role in the initiatives and negotiations leading up to that Act, but not always an effective one. For example, something he published anonymously in England, thinking to promote the Brunswick cause, was formally censured by the British Parliament . The Brunswicks tolerated the enormous effort Leibniz devoted to intellectual pursuits unrelated to his duties as a courtier, pursuits such as perfecting calculus, writing about other mathematics, logic, physics, and philosophy, and keeping up
2160-544: A short paper, "Primae veritates" ("First Truths"), first published by Louis Couturat in 1903 (pp. 518–523) summarizing his views on metaphysics . The paper is undated; that he wrote it while in Vienna in 1689 was determined only in 1999, when the ongoing critical edition finally published Leibniz's philosophical writings for the period 1677–1690. Couturat's reading of this paper influenced much 20th-century thinking about Leibniz, especially among analytic philosophers . After
2280-409: A similar fate through systematic self-bowdlerization of his early work, but his commentaries and encyclopedic De Philosophia Mundi and Dragmaticon were miscredited to earlier scholars like Bede and widely disseminated. Anselm of Laon systematized the production of the gloss on Scripture, followed by the rise to prominence of dialectic (the middle subject of the medieval trivium ) in
2400-911: A start-of-year adjustment works well with little confusion for events before the introduction of the Gregorian calendar. For example, the Battle of Agincourt is well known to have been fought on 25 October 1415, which is Saint Crispin's Day . However, for the period between the first introduction of the Gregorian calendar on 15 October 1582 and its introduction in Britain on 14 September 1752, there can be considerable confusion between events in Continental Western Europe and in British domains. Events in Continental Western Europe are usually reported in English-language histories by using
2520-677: A two-year residence in Vienna , where he was appointed Imperial Court Councillor to the Habsburgs . On the death of Queen Anne in 1714, Elector George Louis became King George I of Great Britain , under the terms of the 1701 Act of Settlement. Even though Leibniz had done much to bring about this happy event, it was not to be his hour of glory. Despite the intercession of the Princess of Wales, Caroline of Ansbach, George I forbade Leibniz to join him in London until he completed at least one volume of
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#17327910818862640-466: A university education in philosophy. He was influenced by his Leipzig professor Jakob Thomasius , who also supervised his BA thesis in philosophy. Leibniz also read Francisco Suárez , a Spanish Jesuit respected even in Lutheran universities. Leibniz was deeply interested in the new methods and conclusions of Descartes, Huygens, Newton, and Boyle , but the established philosophical ideas in which he
2760-462: A vast correspondence. He began working on calculus in 1674; the earliest evidence of its use in his surviving notebooks is 1675. By 1677 he had a coherent system in hand, but did not publish it until 1684. Leibniz's most important mathematical papers were published between 1682 and 1692, usually in a journal which he and Otto Mencke founded in 1682, the Acta Eruditorum . That journal played
2880-589: A wide variety of advanced philosophical and theological works—ones that he would not have otherwise been able to read until his college years. Access to his father's library, largely written in Latin , also led to his proficiency in the Latin language, which he achieved by the age of 12. At the age of 13 he composed 300 hexameters of Latin verse in a single morning for a special event at school. In April 1661 he enrolled in his father's former university at age 14. There he
3000-481: Is 9 February 1649, the date by which his contemporaries in some parts of continental Europe would have recorded his execution. The O.S./N.S. designation is particularly relevant for dates which fall between the start of the "historical year" (1 January) and the legal start date, where different. This was 25 March in England, Wales, Ireland and the colonies until 1752, and until 1600 in Scotland. In Britain, 1 January
3120-722: Is considered to be the pinnacle of scholastic, medieval, and Christian philosophy; it began while Aquinas was regent master at the studium provinciale of Santa Sabina in Rome, the forerunner of the Pontifical University of Saint Thomas Aquinas , Angelicum . Important work in the scholastic tradition has been carried on well past Aquinas's time, such as English scholastics Robert Grosseteste and his student Roger Bacon , and for instance by Francisco Suárez and Luis de Molina , and also among Lutheran and Reformed thinkers. The terms "scholastic" and "scholasticism" derive from
3240-475: Is exercised within natural laws, where choices are merely contingently necessary and to be decided in the event by a "wonderful spontaneity" that provides individuals with an escape from rigorous predestination. For Leibniz, "God is an absolutely perfect being". He describes this perfection later in section VI as the simplest form of something with the most substantial outcome (VI). Along these lines, he declares that every type of perfection "pertains to him (God) in
3360-408: Is force, while space , matter , and motion are merely phenomenal. He argued, against Newton, that space , time , and motion are completely relative: "As for my own opinion, I have said more than once, that I hold space to be something merely relative, as time is, that I hold it to be an order of coexistences, as time is an order of successions." Einstein, who called himself a "Leibnizian", wrote in
3480-811: Is illuminated by religious faith. Other important Franciscan scholastics were Duns Scotus , Peter Auriol and William of Ockham . By contrast, the Dominican order, a teaching order founded by St Dominic in 1215, to propagate and defend Christian doctrine, placed more emphasis on the use of reason and made extensive use of the new Aristotelian sources derived from the East and Moorish Spain. The great representatives of Dominican thinking in this period were Albertus Magnus and (especially) Thomas Aquinas , whose artful synthesis of Greek rationalism and Christian doctrine eventually came to define Catholic philosophy. Aquinas placed more emphasis on reason and argumentation, and
3600-533: Is made of an infinite number of simple substances known as monads. Monads can also be compared to the corpuscles of the mechanical philosophy of René Descartes and others. These simple substances or monads are the "ultimate units of existence in nature". Monads have no parts but still exist by the qualities that they have. These qualities are continuously changing over time, and each monad is unique. They are also not affected by time and are subject to only creation and annihilation. Monads are centers of force ; substance
3720-539: The Franciscans and the Dominicans . The Franciscans were founded by Francis of Assisi in 1209. Their leader in the middle of the century was Bonaventure , a traditionalist who defended the theology of Augustine and the philosophy of Plato , incorporating only a little of Aristotle in with the more neoplatonist elements. Following Anselm, Bonaventure supposed that reason can only discover truth when philosophy
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3840-717: The Latin word scholasticus , the Latinized form of the Greek σχολαστικός ( scholastikos ), an adjective derived from σχολή ( scholē ), " school ". Scholasticus means "of or pertaining to schools". The "scholastics" were, roughly, "schoolmen". The foundations of Christian scholasticism were laid by Boethius through his logical and theological essays, and later forerunners (and then companions) to scholasticism were Islamic Ilm al-Kalām , meaning "science of discourse", and Jewish philosophy , especially Jewish Kalam . The first significant renewal of learning in
3960-518: The Leibniz wheel , later used in the arithmometer , the first mass-produced mechanical calculator. In philosophy and theology , Leibniz is most noted for his optimism , i.e. his conclusion that our world is, in a qualified sense, the best possible world that God could have created , a view sometimes lampooned by other thinkers, such as Voltaire in his satirical novella Candide . Leibniz, along with René Descartes and Baruch Spinoza ,
4080-609: The Russian Empire and the very beginning of Soviet Russia . For example, in the article "The October (November) Revolution", the Encyclopædia Britannica uses the format of "25 October (7 November, New Style)" to describe the date of the start of the revolution. The Latin equivalents, which are used in many languages, are, on the one hand, stili veteris (genitive) or stilo vetere (ablative), abbreviated st.v. , and meaning "(of/in) old style" ; and, on
4200-594: The Thirty Years' War had left German-speaking Europe exhausted, fragmented, and economically backward. Leibniz proposed to protect German-speaking Europe by distracting Louis as follows: France would be invited to take Egypt as a stepping stone towards an eventual conquest of the Dutch East Indies . In return, France would agree to leave Germany and the Netherlands undisturbed. This plan obtained
4320-556: The Théodicée of 1710 was published in his lifetime. Leibniz dated his beginning as a philosopher to his Discourse on Metaphysics , which he composed in 1686 as a commentary on a running dispute between Nicolas Malebranche and Antoine Arnauld . This led to an extensive correspondence with Arnauld; it and the Discourse were not published until the 19th century. In 1695, Leibniz made his public entrée into European philosophy with
4440-518: The actus essendi or act of existence of finite beings by participating in being itself. Other scholars such as those involved with the "Progetto Tommaso" seek to establish an objective and universal reading of Aquinas' texts. Thomistic scholasticism in the English speaking world went into decline in the 1970s when the Thomistic revival that had been spearheaded by Jacques Maritain , Étienne Gilson , and others, diminished in influence. Partly, this
4560-454: The calculus priority dispute which darkened the remainder of Leibniz's life. A formal investigation by the Royal Society (in which Newton was an unacknowledged participant), undertaken in response to Leibniz's demand for a retraction, upheld Keill's charge. Historians of mathematics writing since 1900 or so have tended to acquit Leibniz, pointing to important differences between Leibniz's and Newton's versions of calculus. In 1712, Leibniz began
4680-637: The collected works of Aristotle . Endeavoring to harmonize his metaphysics and its account of a prime mover with the Latin Catholic dogmatic trinitarian theology, these monastic schools became the basis of the earliest European medieval universities , and thus became the bedrock for the development of modern science and philosophy in the Western world. Scholasticism dominated education in Europe from about 1100 to 1700. The rise of scholasticism
4800-409: The principle of sufficient reason . Using the principle of reasoning, Leibniz concluded that the first reason of all things is God. All that we see and experience is subject to change, and the fact that this world is contingent can be explained by the possibility of the world being arranged differently in space and time. The contingent world must have some necessary reason for its existence. Leibniz uses
4920-408: The quaestio students could ask questions ( quaestiones ) that might have occurred to them during meditatio . Eventually the discussion of questiones became a method of inquiry apart from the lectio and independent of authoritative texts. Disputationes were arranged to resolve controversial quaestiones . Questions to be disputed were ordinarily announced beforehand, but students could propose
Gottfried Wilhelm Leibniz - Misplaced Pages Continue
5040-785: The "last universal genius" due to his knowledge and skills in different fields and because such people became much less common after his lifetime with the coming of the Industrial Revolution and the spread of specialized labor. He is a prominent figure in both the history of philosophy and the history of mathematics . He wrote works on philosophy , theology , ethics , politics , law , history , philology , games , music , and other studies. Leibniz also made major contributions to physics and technology , and anticipated notions that surfaced much later in probability theory , biology , medicine , geology , psychology , linguistics and computer science . Leibniz contributed to
5160-657: The 12th century also included figures like Constantine the African in Italy and James of Venice in Constantinople. Scholars such as Adelard of Bath traveled to Spain and Sicily, translating works on astronomy and mathematics, including the first complete translation of Euclid 's Elements into Latin. At the same time, the School of Chartres produced Bernard of Chartres 's commentaries on Plato 's Timaeus and
5280-539: The 19th century, a practice that the author Karen Bellenir considered to reveal a deep emotional resistance to calendar reform. Scholasticism Scholasticism was a medieval school of philosophy that employed a critical organic method of philosophical analysis predicated upon Aristotelianism and the Ten Categories . Christian scholasticism emerged within the monastic schools that translated scholastic Judeo-Islamic philosophies , and "rediscovered"
5400-409: The 20th century, Leibniz's notions of the law of continuity and transcendental law of homogeneity found a consistent mathematical formulation by means of non-standard analysis . He was also a pioneer in the field of mechanical calculators . While working on adding automatic multiplication and division to Pascal's calculator , he was the first to describe a pinwheel calculator in 1685 and invented
5520-539: The 4th century , had drifted from reality . The Gregorian calendar reform also dealt with the accumulated difference between these figures, between the years 325 and 1582, by skipping 10 days to set the ecclesiastical date of the equinox to be 21 March, the median date of its occurrence at the time of the First Council of Nicea in 325. Countries that adopted the Gregorian calendar after 1699 needed to skip an additional day for each subsequent new century that
5640-583: The Boyne was commemorated with smaller parades on 1 July. However, both events were combined in the late 18th century, and continue to be celebrated as " The Twelfth ". Because of the differences, British writers and their correspondents often employed two dates, a practice called dual dating , more or less automatically. Letters concerning diplomacy and international trade thus sometimes bore both Julian and Gregorian dates to prevent confusion. For example, Sir William Boswell wrote to Sir John Coke from The Hague
5760-462: The British Isles and colonies converted to the Gregorian calendar, instructed that his tombstone bear his date of birth by using the Julian calendar (notated O.S. for Old Style) and his date of death by using the Gregorian calendar. At Jefferson's birth, the difference was eleven days between the Julian and Gregorian calendars and so his birthday of 2 April in the Julian calendar is 13 April in
5880-410: The British colonies, changed the start of the year from 25 March to 1 January, with effect from "the day after 31 December 1751". (Scotland had already made this aspect of the changes, on 1 January 1600.) The second (in effect ) adopted the Gregorian calendar in place of the Julian calendar. Thus "New Style" can refer to the start-of-year adjustment , to the adoption of the Gregorian calendar , or to
6000-471: The British. Thus Leibniz went to Paris in 1672. Soon after arriving, he met Dutch physicist and mathematician Christiaan Huygens and realised that his own knowledge of mathematics and physics was patchy. With Huygens as his mentor, he began a program of self-study that soon pushed him to making major contributions to both subjects, including discovering his version of the differential and integral calculus . He met Nicolas Malebranche and Antoine Arnauld ,
6120-612: The Combinatorial Art ), the first part of which was also his habilitation thesis in Philosophy, which he defended in March 1666. De Arte Combinatoria was inspired by Ramon Llull 's Ars Magna and contained a proof of the existence of God , cast in geometrical form, and based on the argument from motion . His next goal was to earn his license and Doctorate in Law, which normally required three years of study. In 1666,
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#17327910818866240-582: The Elector in the hope of obtaining employment. The stratagem worked; the Elector asked Leibniz to assist with the redrafting of the legal code for the Electorate. In 1669, Leibniz was appointed assessor in the Court of Appeal. Although von Boyneburg died late in 1672, Leibniz remained under the employment of his widow until she dismissed him in 1674. Von Boyneburg did much to promote Leibniz's reputation, and
6360-635: The Elector's cautious support. In 1672, the French government invited Leibniz to Paris for discussion, but the plan was soon overtaken by the outbreak of the Franco-Dutch War and became irrelevant. Napoleon's failed invasion of Egypt in 1798 can be seen as an unwitting, late implementation of Leibniz's plan, after the Eastern hemisphere colonial supremacy in Europe had already passed from the Dutch to
6480-436: The Elector's death (12 February 1673) reached them. Leibniz promptly returned to Paris and not, as had been planned, to Mainz. The sudden deaths of his two patrons in the same winter meant that Leibniz had to find a new basis for his career. In this regard, a 1669 invitation from Duke John Frederick of Brunswick to visit Hanover proved to have been fateful. Leibniz had declined the invitation, but had begun corresponding with
6600-635: The Greek language and translated many works into Latin, affording access to the Cappadocian Fathers and the Greek theological tradition . Three other primary founders of scholasticism were the 11th-century archbishops Lanfranc and Anselm of Canterbury in England and Peter Abelard in France . This period saw the beginning of the " rediscovery " of many Greek works which had been lost to
6720-563: The Gregorian calendar. For example, the Battle of Blenheim is always given as 13 August 1704. However, confusion occurs when an event involves both. For example, William III of England arrived at Brixham in England on 5 November (Julian calendar), after he had set sail from the Netherlands on 11 November (Gregorian calendar) 1688. The Battle of the Boyne in Ireland took place a few months later on 1 July 1690 (Julian calendar). That maps to 11 July (Gregorian calendar), conveniently close to
6840-466: The Gregorian calendar. Similarly, George Washington is now officially reported as having been born on 22 February 1732, rather than on 11 February 1731/32 (Julian calendar). The philosopher Jeremy Bentham , born on 4 February 1747/8 (Julian calendar), in later life celebrated his birthday on 15 February. There is some evidence that the calendar change was not easily accepted. Many British people continued to celebrate their holidays "Old Style" well into
6960-430: The Julian and Gregorian dating systems respectively. The need to correct the calendar arose from the realisation that the correct figure for the number of days in a year is not 365.25 (365 days 6 hours) as assumed by the Julian calendar but slightly less (c. 365.242 days). The Julian calendar therefore has too many leap years . The consequence was that the basis for the calculation of the date of Easter , as decided in
7080-581: The Julian calendar had added since then. When the British Empire did so in 1752, the gap had grown to eleven days; when Russia did so (as its civil calendar ) in 1918, thirteen days needed to be skipped. In the Kingdom of Great Britain and its possessions, the Calendar (New Style) Act 1750 introduced two concurrent changes to the calendar. The first, which applied to England, Wales, Ireland and
7200-517: The Julian date of the subsequent (and more decisive) Battle of Aughrim on 12 July 1691 (Julian). The latter battle was commemorated annually throughout the 18th century on 12 July, following the usual historical convention of commemorating events of that period within Great Britain and Ireland by mapping the Julian date directly onto the modern Gregorian calendar date (as happens, for example, with Guy Fawkes Night on 5 November). The Battle of
7320-632: The Latin West. As early as the latter half of the 10th century, the Toledo School of Translators in Muslim Spain had begun translating Arabic texts into Latin. After a successful burst of Reconquista in the 12th century, Spain opened even further for Christian scholars and, as these Europeans encountered Judeo-Islamic philosophies , they opened a wealth of Arab and Judaic knowledge of mathematics and astronomy. The Latin translations of
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#17327910818867440-551: The Reformation, Calvinists largely adopted the scholastic method of theology, while differing regarding sources of authority and content of theology. The revival and development from the second half of the 19th century of medieval scholastic philosophy is sometimes called neo- Thomism . As J. A. Weisheipl O.P. emphasizes, within the Dominican Order Thomistic scholasticism has been continuous since
7560-692: The Russian Tsar Peter the Great stopped in Bad Pyrmont and met Leibniz, who took interest in Russian matters since 1708 and was appointed advisor in 1711. Leibniz died in Hanover in 1716. At the time, he was so out of favor that neither George I (who happened to be near Hanover at that time) nor any fellow courtier other than his personal secretary attended the funeral. Even though Leibniz
7680-848: The University of Leipzig turned down Leibniz's doctoral application and refused to grant him a Doctorate in Law, most likely due to his relative youth. Leibniz subsequently left Leipzig. Leibniz then enrolled in the University of Altdorf and quickly submitted a thesis, which he had probably been working on earlier in Leipzig. The title of his thesis was Disputatio Inauguralis de Casibus Perplexis in Jure ( Inaugural Disputation on Ambiguous Legal Cases ). Leibniz earned his license to practice law and his Doctorate in Law in November 1666. He next declined
7800-675: The West came with the Carolingian Renaissance of the Early Middle Ages . Charlemagne , advised by Peter of Pisa and Alcuin of York , attracted the scholars of England and Ireland, where some Greek works continued to survive in the original. By a 787 decree, he established schools at every abbey in his empire. These schools, from which the name scholasticism derived, became centers of medieval learning. During this period, knowledge of Ancient Greek had vanished in
7920-482: The West except in Ireland, where its teaching and use was fairly common in its monastic schools . Irish scholars had a considerable presence in the Frankish court , where they were renowned for their learning. Among them was Johannes Scotus Eriugena (815–877), one of the founders of scholasticism. Eriugena was the most significant Irish intellectual of the early monastic period and an outstanding philosopher in terms of originality. He had considerable familiarity with
8040-416: The best of all masters" and he will know when his good succeeds, so we, therefore, must act in conformity to his good will—or as much of it as we understand (IV). In our view of God, Leibniz declares that we cannot admire the work solely because of the maker, lest we mar the glory and love God in doing so. Instead, we must admire the maker for the work he has done (II). Effectively, Leibniz states that if we say
8160-407: The classroom and in writing, it often takes the form of explicit disputation ; a topic drawn from the tradition is broached in the form of a question, oppositional responses are given, a counterproposal is argued and oppositional arguments rebutted. Because of its emphasis on rigorous dialectical method, scholasticism was eventually applied to many other fields of study. Scholasticism was initially
8280-431: The combination of the two. It was through their use in the Calendar Act that the notations "Old Style" and "New Style" came into common usage. When recording British history, it is usual to quote the date as originally recorded at the time of the event, but with the year number adjusted to start on 1 January. The latter adjustment may be needed because the start of the civil calendar year had not always been 1 January and
8400-400: The consort of her grandson, the future George II . To each of these women he was correspondent, adviser, and friend. In turn, they all approved of Leibniz more than did their spouses and the future king George I of Great Britain . The population of Hanover was only about 10,000, and its provinciality eventually grated on Leibniz. Nevertheless, to be a major courtier to the House of Brunswick
8520-402: The duke in 1671. In 1673, the duke offered Leibniz the post of counsellor. Leibniz very reluctantly accepted the position two years later, only after it became clear that no employment was forthcoming in Paris, whose intellectual stimulation he relished, or with the Habsburg imperial court. In 1675 he tried to get admitted to the French Academy of Sciences as a foreign honorary member, but it
8640-482: The earth is good because of the will of God, and not good according to some standards of goodness, then how can we praise God for what he has done if contrary actions are also praiseworthy by this definition (II). Leibniz then asserts that different principles and geometry cannot simply be from the will of God, but must follow from his understanding. Old Style and New Style dates Old Style ( O.S. ) and New Style ( N.S. ) indicate dating systems before and after
8760-543: The end of the following December, 1661/62 , a form of dual dating to indicate that in the following twelve weeks or so, the year was 1661 Old Style but 1662 New Style. Some more modern sources, often more academic ones (e.g. the History of Parliament ) also use the 1661/62 style for the period between 1 January and 24 March for years before the introduction of the New Style calendar in England. The Gregorian calendar
8880-476: The era between the deaths of William of Ockham and Nicholas of Cusa , there was a distinct period characterized by "robust and independent philosophers" who departed from high scholasticism on issues such as institutional criticism and materialism but retained scholasticism's method. These philosophers include Marsilius of Padua , Thomas Bradwardine , John Wycliffe , Catherine of Sienna , Jean Gerson , Gabriel Biel and ended with Nicholas of Cusa. Following
9000-581: The exercise of their free will . God does not arbitrarily inflict pain and suffering on humans; rather he permits both moral evil (sin) and physical evil (pain and suffering) as the necessary consequences of metaphysical evil (imperfection), as a means by which humans can identify and correct their erroneous decisions, and as a contrast to true good. Further, although human actions flow from prior causes that ultimately arise in God and therefore are known to God as metaphysical certainties, an individual's free will
9120-575: The fair sum he left to his sole heir, his sister's stepson, proved that the Brunswicks had paid him fairly well. In his diplomatic endeavors, he at times verged on the unscrupulous, as was often the case with professional diplomats of his day. On several occasions, Leibniz backdated and altered personal manuscripts, actions which put him in a bad light during the calculus controversy . He was charming, well-mannered, and not without humor and imagination. He had many friends and admirers all over Europe. He
9240-432: The field of library science by developing a cataloguing system while working at the Herzog August Library in Wolfenbüttel , Germany, that served as a model for many of Europe's largest libraries. His contributions to a wide range of subjects were scattered in various learned journals , in tens of thousands of letters and in unpublished manuscripts. He wrote in several languages, primarily in Latin, French and German. As
9360-417: The high period of scholasticism. The early 13th century witnessed the culmination of the recovery of Greek philosophy . Schools of translation grew up in Italy and Sicily, and eventually in the rest of Europe. Powerful Norman kings gathered men of knowledge from Italy and other areas into their courts as a sign of their prestige. William of Moerbeke 's translations and editions of Greek philosophical texts in
9480-422: The highest degree" (I). Even though his types of perfections are not specifically drawn out, Leibniz highlights the one thing that, to him, does certify imperfections and proves that God is perfect: "that one acts imperfectly if he acts with less perfection than he is capable of", and since God is a perfect being, he cannot act imperfectly (III). Because God cannot act imperfectly, the decisions he makes pertaining to
9600-531: The history of the Brunswick family his father had commissioned nearly 30 years earlier. Moreover, for George I to include Leibniz in his London court would have been deemed insulting to Newton, who was seen as having won the calculus priority dispute and whose standing in British official circles could not have been higher. Finally, his dear friend and defender, the Dowager Electress Sophia, died in 1714. In 1716, while traveling in northern Europe,
9720-485: The introduction to Max Jammer 's book Concepts of Space that Leibnizianism was superior to Newtonianism, and his ideas would have dominated over Newton's had it not been for the poor technological tools of the time; Joseph Agassi argues that Leibniz paved the way for Einstein's theory of relativity . Leibniz's proof of God can be summarized in the Théodicée . Reason is governed by the principle of contradiction and
9840-507: The journey from London to Hanover, Leibniz stopped in The Hague where he met van Leeuwenhoek , the discoverer of microorganisms. He also spent several days in intense discussion with Spinoza , who had just completed, but had not published, his masterwork, the Ethics . Spinoza died very shortly after Leibniz's visit. In 1677, he was promoted, at his request, to Privy Counselor of Justice,
9960-624: The latter's memoranda and letters began to attract favorable notice. After Leibniz's service to the Elector there soon followed a diplomatic role. He published an essay, under the pseudonym of a fictitious Polish nobleman, arguing (unsuccessfully) for the German candidate for the Polish crown. The main force in European geopolitics during Leibniz's adult life was the ambition of Louis XIV of France , backed by French military and economic might. Meanwhile,
10080-399: The leading French philosophers of the day, and studied the writings of Descartes and Pascal , unpublished as well as published. He befriended a German mathematician, Ehrenfried Walther von Tschirnhaus ; they corresponded for the rest of their lives. When it became clear that France would not implement its part of Leibniz's Egyptian plan, the Elector sent his nephew, escorted by Leibniz, on
10200-468: The middle half of the thirteenth century helped form a clearer picture of Greek philosophy, particularly of Aristotle, than was given by the Arabic versions on which they had previously relied. Edward Grant writes "Not only was the structure of the Arabic language radically different from that of Latin, but some Arabic versions had been derived from earlier Syriac translations and were thus twice removed from
10320-496: The next Elector became quite annoyed at Leibniz's apparent dilatoriness. Leibniz never finished the project, in part because of his huge output on many other fronts, but also because he insisted on writing a meticulously researched and erudite book based on archival sources, when his patrons would have been quite happy with a short popular book, one perhaps little more than a genealogy with commentary, to be completed in three years or less. They never knew that he had in fact carried out
10440-481: The offer of an academic appointment at Altdorf, saying that "my thoughts were turned in an entirely different direction". As an adult, Leibniz often introduced himself as "Gottfried von Leibniz". Many posthumously published editions of his writings presented his name on the title page as " Freiherr G. W. von Leibniz." However, no document has ever been found from any contemporary government that stated his appointment to any form of nobility . Leibniz's first position
10560-510: The only way we can truly love God is by being content "with all that comes to us according to his will" (IV). Because God is "an absolutely perfect being" (I), Leibniz argues that God would be acting imperfectly if he acted with any less perfection than what he is able of (III). His syllogism then ends with the statement that God has made the world perfectly in all ways. This also affects how we should view God and his will. Leibniz states that, in lieu of God's will, we have to understand that God "is
10680-493: The original Greek text. Word-for-word translations of such Arabic texts could produce tortured readings. By contrast, the structural closeness of Latin to Greek, permitted literal, but intelligible, word-for-word translations." Universities developed in the large cities of Europe during this period, and rival clerical orders within the church began to battle for political and intellectual control over these centers of educational life. The two main orders founded in this period were
10800-403: The other, stili novi or stilo novo , abbreviated st.n. and meaning "(of/in) new style". The Latin abbreviations may be capitalised differently by different users, e.g., St.n. or St.N. for stili novi . There are equivalents for these terms in other languages as well, such as the German a.St. (" alter Stil " for O.S.). Usually, the mapping of New Style dates onto Old Style dates with
10920-643: The period. Leibniz began promoting a project to use windmills to improve the mining operations in the Harz Mountains. This project did little to improve mining operations and was shut down by Duke Ernst August in 1685. Among the few people in north Germany to accept Leibniz were the Electress Sophia of Hanover (1630–1714), her daughter Sophia Charlotte of Hanover (1668–1705), the Queen of Prussia and his avowed disciple, and Caroline of Ansbach ,
11040-1095: The philosophical and theological tradition stretching back to the time of St. Thomas. It focuses not only on exegesis of the historical Aquinas but also on the articulation of a rigorous system of orthodox Thomism to be used as an instrument of critique of contemporary thought. Due to its suspicion of attempts to harmonize Aquinas with non-Thomistic categories and assumptions, Scholastic Thomism has sometimes been called, according to philosophers like Edward Feser , "Strict Observance Thomism". A discussion of recent and current Thomistic scholasticism can be found in La Metafisica di san Tommaso d'Aquino e i suoi interpreti (2002) by Battista Mondin [ it ] , which includes such figures as Sofia Vanni Rovighi (1908–1990), Cornelio Fabro (1911–1995), Carlo Giacon (1900–1984), Tomas Tyn O.P. (1950–1990), Abelardo Lobato O.P. (1925–2012), Leo Elders (1926– ) and Giovanni Ventimiglia (1964– ) among others. Fabro in particular emphasizes Aquinas' originality, especially with respect to
11160-426: The principle of pre-established harmony , each monad follows a pre-programmed set of "instructions" peculiar to itself, so that a monad "knows" what to do at each moment. By virtue of these intrinsic instructions, each monad is like a little mirror of the universe. Monads need not be "small"; e.g., each human being constitutes a monad, in which case free will is problematic. Monads are purported to have gotten rid of
11280-530: The problematic: The Theodicy tries to justify the apparent imperfections of the world by claiming that it is optimal among all possible worlds . It must be the best possible and most balanced world, because it was created by an all powerful and all knowing God, who would not choose to create an imperfect world if a better world could be known to him or possible to exist. In effect, apparent flaws that can be identified in this world must exist in every possible world, because otherwise God would have chosen to create
11400-507: The subject, be it ancient or contemporary. The points of disagreement and contention between multiple sources would be written down in individual sentences or snippets of text, known as sententiae . Once the sources and points of disagreement had been laid out through a series of dialectics , the two sides of an argument would be made whole so that they would be found to be in agreement and not contradictory. (Of course, sometimes opinions would be totally rejected, or new positions proposed.) This
11520-525: The term " possible world " to define modal notions. Gottfried Leibniz was born on July 1 [ OS : June 21], 1646, in Leipzig , Saxony, to Friedrich Leibniz (1597–1652) and Catharina Schmuck (1621–1664). He was baptized two days later at St. Nicholas Church, Leipzig ; his godfather was the Lutheran theologian Martin Geier [ de ] . His father died when he was six years old, and Leibniz
11640-846: The time of Aquinas: "Thomism was always alive in the Dominican Order, small as it was after the ravages of the Reformation, the French Revolution, and the Napoleonic occupation. Repeated legislation of the General Chapters, beginning after the death of St. Thomas, as well as the Constitutions of the Order, required all Dominicans to teach the doctrine of St. Thomas both in philosophy and in theology." Thomistic scholasticism or scholastic Thomism identifies with
11760-410: The time – to show that contradictions did not exist but were subjective to the reader. Scholastic instruction consisted of several elements. The first was the lectio : a teacher would read an authoritative text followed by a commentary, but no questions were permitted. This was followed by the meditatio ( meditation or reflection) in which students reflected on and appropriated the text. Finally, in
11880-601: The view of Leibniz, because reason and faith must be entirely reconciled, any tenet of faith which could not be defended by reason must be rejected. Leibniz then approached one of the central criticisms of Christian theism: if God is all good , all wise , and all powerful , then how did evil come into the world ? The answer (according to Leibniz) is that, while God is indeed unlimited in wisdom and power, his human creations, as creations, are limited both in their wisdom and in their will (power to act). This predisposes humans to false beliefs, wrong decisions, and ineffective actions in
12000-517: The work of Abelard . Peter Lombard produced a collection of Sentences , or opinions of the Church Fathers and other authorities. More recently, Leinsle , Novikoff , and others have argued against the idea that scholasticism primarily derived from philosophical contact, emphasizing its continuity with earlier Patristic Christianity . This remains, however, a minority viewpoint. The 13th and early 14th centuries are generally seen as
12120-423: The world must be perfect. Leibniz also comforts readers, stating that because he has done everything to the most perfect degree; those who love him cannot be injured. However, to love God is a subject of difficulty as Leibniz believes that we are "not disposed to wish for that which God desires" because we have the ability to alter our disposition (IV). In accordance with this, many act as rebels, but Leibniz says that
12240-404: The world that excluded those flaws. Leibniz asserted that the truths of theology (religion) and philosophy cannot contradict each other, since reason and faith are both "gifts of God" so that their conflict would imply God contending against himself. The Theodicy is Leibniz's attempt to reconcile his personal philosophical system with his interpretation of the tenets of Christianity. This project
12360-884: Was a life member of the Royal Society and the Berlin Academy of Sciences , neither organization saw fit to honor his death. His grave went unmarked for more than 50 years. He was, however, eulogized by Fontenelle , before the French Academy of Sciences in Paris, which had admitted him as a foreign member in 1700. The eulogy was composed at the behest of the Duchess of Orleans , a niece of the Electress Sophia. Leibniz never married. He proposed to an unknown woman at age 50, but changed his mind when she took too long to decide. He complained on occasion about money, but
12480-480: Was altered at different times in different countries. From 1155 to 1752, the civil or legal year in England began on 25 March ( Lady Day ); so for example, the execution of Charles I was recorded at the time in Parliament as happening on 30 January 164 8 (Old Style). In newer English-language texts, this date is usually shown as "30 January 164 9 " (New Style). The corresponding date in the Gregorian calendar
12600-591: Was as a salaried secretary to an alchemical society in Nuremberg . He knew fairly little about the subject at that time but presented himself as deeply learned. He soon met Johann Christian von Boyneburg (1622–1672), the dismissed chief minister of the Elector of Mainz , Johann Philipp von Schönborn . Von Boyneburg hired Leibniz as an assistant, and shortly thereafter reconciled with the Elector and introduced Leibniz to him. Leibniz then dedicated an essay on law to
12720-753: Was because this branch of Thomism had become a quest to understand the historical Aquinas after the Second Vatican Council . A renewed interest in the "scholastic" way of doing philosophy has recently awoken in the confines of the analytic philosophy . Attempts emerged to combine elements of scholastic and analytic methodology in pursuit of a contemporary philosophical synthesis. Proponents of various incarnations of this approach include Anthony Kenny , Peter King, Thomas Williams or David Oderberg . Cornelius O'Boyle explained that Scholasticism focuses on how to acquire knowledge and how to communicate effectively so that it may be acquired by others. It
12840-596: Was celebrated as the New Year festival from as early as the 13th century, despite the recorded (civil) year not incrementing until 25 March, but the "year starting 25th March was called the Civil or Legal Year, although the phrase Old Style was more commonly used". To reduce misunderstandings about the date, it was normal even in semi-official documents such as parish registers to place a statutory new-year heading after 24 March (for example "1661") and another heading from
12960-483: Was closely associated with these schools that flourished in Italy , France , Portugal , Spain and England . Scholasticism is a method of learning more than a philosophy or a theology, since it places a strong emphasis on dialectical reasoning to extend knowledge by inference and to resolve contradictions . Scholastic thought is also known for rigorous conceptual analysis and the careful drawing of distinctions. In
13080-557: Was considered that there were already enough foreigners there and so no invitation came. He left Paris in October 1676. Leibniz managed to delay his arrival in Hanover until the end of 1676 after making one more short journey to London, where Newton accused him of having seen his unpublished work on calculus in advance. This was alleged to be evidence supporting the accusation, made decades later, that he had stolen calculus from Newton. On
13200-437: Was done in two ways. The first was through philological analysis. Words were examined and argued to have multiple meanings. It was also considered that the auctor might have intended a certain word to mean something different. Ambiguity could be used to find common ground between two otherwise contradictory statements. The second was through logical analysis, which relied on the rules of formal logic – as they were known at
13320-464: Was educated influenced his view of their work. Leibniz variously invoked one or another of seven fundamental philosophical Principles: Leibniz would on occasion give a rational defense of a specific principle, but more often took them for granted. Leibniz's best known contribution to metaphysics is his theory of monads , as exposited in Monadologie . He proposes his theory that the universe
13440-660: Was guided, among others, by Jakob Thomasius , previously a student of Friedrich. Leibniz completed his bachelor's degree in Philosophy in December 1662. He defended his Disputatio Metaphysica de Principio Individui ( Metaphysical Disputation on the Principle of Individuation ), which addressed the principle of individuation , on 9 June 1663 [ O.S. 30 May], presenting an early version of monadic substance theory. Leibniz earned his master's degree in Philosophy on 7 February 1664. In December 1664 he published and defended
13560-433: Was identified as a Protestant and a philosophical theist . Leibniz remained committed to Trinitarian Christianity throughout his life. Leibniz's philosophical thinking appears fragmented because his philosophical writings consist mainly of a multitude of short pieces: journal articles, manuscripts published long after his death, and letters to correspondents. He wrote two book-length philosophical treatises, of which only
13680-549: Was implemented in Russia on 14 February 1918 by dropping the Julian dates of 1–13 February 1918 , pursuant to a Sovnarkom decree signed 24 January 1918 (Julian) by Vladimir Lenin . The decree required that the Julian date was to be written in parentheses after the Gregorian date, until 1 July 1918. It is common in English-language publications to use the familiar Old Style or New Style terms to discuss events and personalities in other countries, especially with reference to
13800-668: Was motivated in part by Leibniz's belief, shared by many philosophers and theologians during the Enlightenment , in the rational and enlightened nature of the Christian religion. It was also shaped by Leibniz's belief in the perfectibility of human nature (if humanity relied on correct philosophy and religion as a guide), and by his belief that metaphysical necessity must have a rational or logical foundation, even if this metaphysical causality seemed inexplicable in terms of physical necessity (the natural laws identified by science). In
13920-571: Was one of the first to use the new translation of Aristotle's metaphysical and epistemological writing. This was a significant departure from the Neoplatonic and Augustinian thinking that had dominated much of early scholasticism. Aquinas showed how it was possible to incorporate much of the philosophy of Aristotle without falling into the "errors" of the Commentator, Averroes . Philosopher Johann Beukes has suggested that from 1349 to 1464,
14040-403: Was one of the three influential early modern rationalists . His philosophy also assimilates elements of the scholastic tradition, notably the assumption that some substantive knowledge of reality can be achieved by reasoning from first principles or prior definitions. The work of Leibniz anticipated modern logic and still influences contemporary analytic philosophy , such as its adopted use of
14160-556: Was quite an honor, especially in light of the meteoric rise in the prestige of that House during Leibniz's association with it. In 1692, the Duke of Brunswick became a hereditary Elector of the Holy Roman Empire . The British Act of Settlement 1701 designated the Electress Sophia and her descent as the royal family of England, once both King William III and his sister-in-law and successor, Queen Anne , were dead. Leibniz played
14280-436: Was raised by his mother. Leibniz's father had been a Professor of Moral Philosophy at the University of Leipzig , where he also served as dean of philosophy. The boy inherited his father's personal library. He was given free access to it from the age of seven, shortly after his father's death. While Leibniz's schoolwork was largely confined to the study of a small canon of authorities, his father's library enabled him to study
14400-458: Was thought that the best way to achieve this was by replicating the discovery process ( modus inveniendi ). The scholasticists would choose a book by a renowned scholar, auctor (author), as a subject for investigation. By reading it thoroughly and critically, the disciples learned to appreciate the theories of the author. Other documents related to the book would be referenced, such as Church councils, papal letters and anything else written on
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