FYI July 27, 2017

1689 – Glorious Revolution: The Battle of Killiecrankie ends.
The Glorious Revolution, also called the Revolution of 1688, was the overthrow of King James II of England (James VII of Scotland) by a union of English Parliamentarians with the Dutch stadtholder William III, Prince of Orange. William’s successful invasion of England with a Dutch fleet and army led to his ascension to the throne as William III of England jointly with his wife, Mary II, James’s daughter, after the Declaration of Right, leading to the Bill of Rights 1689.

King James’s policies of religious tolerance after 1685 met with increasing opposition from members of leading political circles, who were troubled by the king’s Catholicism and his close ties with France. The crisis facing the king came to a head in 1688, with the birth of the king’s son, James Francis Edward Stuart, on 10 June (Julian calendar).[a] This changed the existing line of succession by displacing the heir presumptive (his daughter Mary, a Protestant and the wife of William of Orange) with young James Francis Edward as heir apparent. The establishment of a Roman Catholic dynasty in the kingdoms now seemed likely. Some Tory members of parliament worked with members of the opposition Whigs in an attempt to resolve the crisis by secretly initiating dialogue with William of Orange to come to England, outside the jurisdiction of the English Parliament.[1] Stadtholder William, the de facto head of state of the Dutch United Provinces, feared a Catholic Anglo–French alliance and had already been planning a military intervention in England.

After consolidating political and financial support, William crossed the North Sea and English Channel with a large invasion fleet in November 1688, landing at Torbay. After only two minor clashes between the two opposing armies in England, and anti-Catholic riots in several towns, James’s regime collapsed, largely because of a lack of resolve shown by the king. However, this was followed by the protracted Williamite War in Ireland and Dundee’s rising in Scotland.[b] In England’s distant American colonies, the revolution led to the collapse of the Dominion of New England and the overthrow of the Province of Maryland’s government. Following a defeat of his forces at the Battle of Reading on 9 December, James and his wife Mary fled England; James, however, returned to London for a two-week period that culminated in his final departure for France on 23 December. By threatening to withdraw his troops, William in February 1689 (New Style Julian calendar)[a] convinced a newly chosen Convention Parliament to make him and his wife joint monarchs.

The Revolution permanently ended any chance of Catholicism becoming re-established in England. For British Catholics its effects were disastrous both socially and politically: Catholics were denied the right to vote and sit in the Westminster Parliament for over a century; they were also denied commissions in the army, and the monarch was forbidden to be Catholic or to marry a Catholic, this latter prohibition remaining in force until 2015. The Revolution led to limited tolerance for Nonconformist Protestants, although it would be some time before they had full political rights. It has been argued, mainly by Whig historians, that James’s overthrow began modern English parliamentary democracy: the Bill of Rights 1689 has become one of the most important documents in the political history of Britain and never since has the monarch held absolute power.

Internationally, the Revolution was related to the War of the Grand Alliance on mainland Europe. It has been seen as the last successful invasion of England.[2] It ended all attempts by England in the Anglo-Dutch Wars of the 17th century to subdue the Dutch Republic by military force. However, the resulting economic integration and military co-operation between the English and Dutch navies shifted the dominance in world trade from the Dutch Republic to England and later to Great Britain.

The expression “Glorious Revolution” was first used by John Hampden in late 1689,[3] and is an expression that is still used by the British Parliament.[4] The Glorious Revolution is also occasionally termed the Bloodless Revolution, albeit inaccurately. The English Civil War (also known as the Great Rebellion) was still within living memory for most of the major English participants in the events of 1688, and for them, in comparison to that war (or even the Monmouth Rebellion of 1685) the deaths in the conflict of 1688 were mercifully few.

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1667 – Johann Bernoulli, Swiss mathematician and academic (d. 1748)
Johann Bernoulli (also known as Jean or John; 6 August [O.S. 27 July] 1667 – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil’s youth.

Early life and education
Johann was born in Basel, the son of Nicolaus Bernoulli, an apothecary, and his wife, Margaretha Schonauer and began studying medicine at Basel University. His father desired that he study business so that he might take over the family spice trade, but Johann Bernoulli did not like business and convinced his father to allow him to study medicine instead. However, Johann Bernoulli did not enjoy medicine either and began studying mathematics on the side with his older brother Jacob.[2] Throughout Johann Bernoulli’s education at Basel University the Bernoulli brothers worked together spending much of their time studying the newly discovered infinitesimal calculus. They were among the first mathematicians to not only study and understand calculus but to apply it to various problems.[3]

Adult life
After graduating from Basel University Johann Bernoulli moved to teach differential equations. Later, in 1694, he married Dorothea Falkner and soon after accepted a position as the professor of mathematics at the University of Groningen. At the request of Johann Bernoulli’s father-in-law, Johann Bernoulli began the voyage back to his home town of Basel in 1705. Just after setting out on the journey he learned of his brother’s death to tuberculosis. Johann Bernoulli had planned on becoming the professor of Greek at Basel University upon returning but instead was able to take over as professor of mathematics, his older brother’s former position. As a student of Leibniz’s calculus, Johann Bernoulli sided with him in 1713 in the Newton–Leibniz debate over who deserved credit for the discovery of calculus. Johann Bernoulli defended Leibniz by showing that he had solved certain problems with his methods that Newton had failed to solve. Johann Bernoulli also promoted Descartes’ vortex theory over Newton’s theory of gravitation. This ultimately delayed acceptance of Newton’s theory in continental Europe.[4]

In 1724 he entered a competition sponsored by the French Académie Royale des Sciences, which posed the question:

What are the laws according to which a perfectly hard body, put into motion, moves another body of the same nature either at rest or in motion, and which it encounters either in a vacuum or in a plenum?

In defending a view previously espoused by Leibniz he found himself postulating an infinite external force required to make the body elastic by overcoming the infinite internal force making the body hard. In consequence he was disqualified for the prize, which was won by Maclaurin. However, Bernoulli’s paper was subsequently accepted in 1726 when the Académie considered papers regarding elastic bodies, for which the prize was awarded to Pierre Mazière. Bernoulli received an honourable mention in both competitions.

Private life
Although Jacob and Johann worked together before Johann graduated from Basel University, shortly after this, the two developed a jealous and competitive relationship. Johann was jealous of Jacob’s position and the two often attempted to outdo each other. After Jacob’s death Johann’s jealousy shifted toward his own talented son, Daniel. In 1738 the father–son duo nearly simultaneously published separate works on hydrodynamics. Johann Bernoulli attempted to take precedence over his son by purposely and falsely predating his work two years prior to his son’s.[5][6]

Johann married Dorothea Falkner, daughter of an Alderman of Basel. He was the father of Nicolaus II Bernoulli, Daniel Bernoulli and Johann II Bernoulli and uncle of Nicolaus I Bernoulli.

The Bernoulli brothers often worked on the same problems, but not without friction. Their most bitter dispute concerned finding the equation for the path followed by a particle from one point to another in the shortest time, if the particle is acted upon by gravity alone, a problem originally discussed by Galileo. In 1697 Jacob offered a reward for its solution. Accepting the challenge, Johann proposed the cycloid, the path of a point on a moving wheel, pointing out at the same time the relation this curve bears to the path described by a ray of light passing through strata of variable density. A protracted, bitter dispute then arose when Jacob challenged the solution and proposed his own. The dispute marked the origin of a new discipline, the calculus of variations.

L’Hôpital controversy
Bernoulli was hired by Guillaume de l’Hôpital for tutoring in mathematics. Bernoulli and l’Hôpital signed a contract which gave l’Hôpital the right to use Bernoulli’s discoveries as he pleased. L’Hôpital authored the first textbook on infinitesimal calculus, Analyse des Infiniment Petits pour l’Intelligence des Lignes Courbes in 1696, which mainly consisted of the work of Bernoulli, including what is now known as l’Hôpital’s rule.[7][8][9]

Subsequently, in letters to Leibniz, Varignon and others, Bernoulli complained that he had not received enough credit for his contributions, in spite of the fact that l’Hôpital acknowledged fully his debt in the preface of his book:

Je reconnais devoir beaucoup aux lumières de MM. Bernoulli, surtout à celles du jeune (Jean) présentement professeur à Groningue. Je me suis servi sans façon de leurs découvertes et de celles de M. Leibniz. C’est pourquoi je consens qu’ils en revendiquent tout ce qu’il leur plaira, me contentant de ce qu’ils voudront bien me laisser.

I recognize I owe much to the insights of the Messrs. Bernoulli, especially to those of the young (John), currently a professor in Groningen. I did unceremoniously use their discoveries, as well as those of Mr. Leibniz. For this reason I consent that they claim as much credit as they please, and will content myself with what they will agree to leave me.


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