Math Is Fun Forum

#16. Voltaire

François-Marie Arouet (21 November 1694 – 30 May 1778), known by his nom de plume Voltaire, was a French Enlightenment writer, historian, and philosopher famous for his wit, his attacks on the established Catholic Church, and his advocacy of freedom of religion, freedom of expression, and separation of church and state.

Voltaire was a versatile writer, producing works in almost every literary form, including plays, poems, novels, essays, and historical and scientific works. He wrote more than 20,000 letters and more than 2,000 books and pamphlets. He was an outspoken advocate of several liberties, despite the risk this placed him in under the strict censorship laws of the time. As a satirical polemicist, he frequently made use of his works to criticize intolerance, religious dogma, and the French institutions of his day.

In general, his criticism and miscellaneous writing show a similar style to Voltaire's other works. Almost all of his more substantive works, whether in verse or prose, are preceded by prefaces of one sort or another, which are models of his caustic yet conversational tone. In a vast variety of nondescript pamphlets and writings, he displays his skills at journalism. In pure literary criticism his principal work is the Commentaire sur Corneille, although he wrote many more similar works – sometimes (as in his Life and Notices of Molière) independently and sometimes as part of his Siècles.

Voltaire's works, especially his private letters, frequently contain the word "l'infâme" and the expression "écrasez l'infâme", or "crush the infamous". The phrase refers to abuses of the people by royalty and the clergy that Voltaire saw around him, and the superstition and intolerance that the clergy bred within the people. He had felt these effects in his own exiles, the burnings of his books and those of many others, and in the hideous sufferings of Jean Calas and François-Jean de la Barre. He stated in one of his most famous quotes that "Superstition sets the whole world in flames; philosophy quenches them."

The most oft-cited Voltaire quotation is apocryphal. He is incorrectly credited with writing, "I disapprove of what you say, but I will defend to the death your right to say it." These were not his words, but rather those of Evelyn Beatrice Hall, written under the pseudonym S. G. Tallentyre in her 1906 biographical book The Friends of Voltaire. Hall intended to summarize in her own words Voltaire's attitude towards Claude Adrien Helvétius and his controversial book De l'esprit, but her first-person expression was mistaken for an actual quotation from Voltaire. Her interpretation does capture the spirit of Voltaire's attitude towards Helvetius; it had been said Hall's summary was inspired by a quotation found in a 1770 Voltaire letter to an Abbot le Riche, in which he was reported to have said, "I detest what you write, but I would give my life to make it possible for you to continue to write." Nevertheless, scholars believe there must have again been misinterpretation, as the letter does not seem to contain any such quote.

Voltaire's first major philosophical work in his battle against "l'infâme" was the Traité sur la tolérance (Treatise on Tolerance), exposing the Calas affair, along with the tolerance exercised by other faiths and in other eras (for example, by the Jews, the Romans, the Greeks and the Chinese). Then, in his Dictionnaire philosophique, containing such articles as "Abraham", "Genesis", "Church Council", he wrote about what he perceived as the human origins of dogmas and beliefs, as well as inhuman behavior of religious and political institutions in shedding blood over the quarrels of competing sects. Amongst other targets, Voltaire criticized France's colonial policy in North America, dismissing the vast territory of New France as "a few acres of snow" ("quelques arpents de neige").

#14. Gottfried Wilhelm Leibniz
German philosopher, mathematician, and political adviser, important both as a metaphysician and as a logician and distinguished also for his independent invention of the differential and integral calculus.

Thanks, ganesh!

#8. Nicolaus Copernicus
Polish astronomer who proposed that the planets have the Sun as the fixed point to which their motions are to be referred; that Earth is a planet which, besides orbiting the Sun annually, also turns once daily on its own axis; and that very slow, long-term changes in the direction of this axis account for the precession of the equinoxes.

#9. James Clerk Maxwell
Scottish physicist best known for his formulation of electromagnetic theory. He is regarded by most modern physicists as the scientist of the 19th century who had the greatest influence on 20th-century physics, and he is ranked with Sir Isaac Newton and Albert Einstein for the fundamental nature of his contributions.

#10. Euclid
The most prominent mathematician of Greco-Roman antiquity, best known for his treatise on geometry, the Elements.

#11. Thomas Edison
American inventor who, singly or jointly, held a world record 1,093 patents. In addition, he created the world’s first industrial research laboratory.

#12. René Descartes
French mathematician, scientist, and philosopher. Because he was one of the first to abandon scholastic Aristotelianism, because he formulated the first modern version of mind-body dualism, from which stems the mind-body problem, and because he promoted the development of a new science grounded in observation and experiment, he has been called the father of modern philosophy.

#7. Johann Wolfgang von Goethe

Johann Wolfgang Goethe (28 August 1749 – 22 March 1832) was a German writer and statesman. His body of work includes epic and lyric poetry written in a variety of metres and styles; prose and verse dramas; memoirs; an autobiography; literary and aesthetic criticism; treatises on botany, anatomy, and colour; and four novels. In addition, numerous literary and scientific fragments, more than 10,000 letters, and nearly 3,000 drawings by him exist. A literary celebrity by the age of 25, Goethe was ennobled by the Duke of Saxe-Weimar, Karl August in 1782 after first taking up residence there in November 1775 following the success of his first novel, The Sorrows of Young Werther. He was an early participant in the Sturm und Drang literary movement. During his first ten years in Weimar, Goethe served as a member of the Duke's privy council, sat on the war and highway commissions, oversaw the reopening of silver mines in nearby Ilmenau, and implemented a series of administrative reforms at the University of Jena. He also contributed to the planning of Weimar's botanical park and the rebuilding of its Ducal Palace, which in 1998 were together designated a UNESCO World Heritage Site.

After returning from a tour of Italy in 1788, his first major scientific work, the Metamorphosis of Plants, was published. In 1791 he was made managing director of the theatre at Weimar, and in 1794 he began a friendship with the dramatist, historian, and philosopher Friedrich Schiller, whose plays he premiered until Schiller's death in 1805. During this period Goethe published his second novel, Wilhelm Meister's Apprenticeship, the verse epic Hermann and Dorothea, and, in 1808, the first part of his most celebrated drama, Faust. His conversations and various common undertakings throughout the 1790s with Schiller, Johann Gottlieb Fichte, Johann Gottfried Herder, Alexander von Humboldt, Wilhelm von Humboldt, and August and Friedrich Schlegel have, in later years, been collectively termed Weimar Classicism.

Arthur Schopenhauer cited Wilhelm Meister's Apprenticeship as one of the four greatest novels ever written, along with Tristram Shandy, La Nouvelle Héloïse, and Don Quixote, and Ralph Waldo Emerson selected Goethe as one of six "representative men" in his work of the same name, along with Plato, Napoleon, and William Shakespeare. Goethe's comments and observations form the basis of several biographical works, most notably Johann Peter Eckermann's Conversations with Goethe. There are frequent references to Goethe's writings throughout the works of Georg Friedrich Wilhelm Hegel, Arthur Schopenhauer, Søren Kierkegaard, Friedrich Nietzsche, Oswald Spengler, Hermann Hesse, Thomas Mann, Sigmund Freud, and Carl Jung. Goethe's poems were set to music throughout the eighteenth and nineteenth centuries by a number of composers, including Wolfgang Amadeus Mozart, Ludwig van Beethoven, Franz Schubert, Robert Schumann, Johannes Brahms, Charles Gounod, Richard Wagner, Hugo Wolf, Felix Mendelssohn, Hector Berlioz, Gustav Mahler, and Jules Massenet.

To the period of his friendship with Schiller belong the conception of Wilhelm Meister's Journeyman Years (the continuation of Wilhelm Meister's Apprenticeship), the idyll of Hermann and Dorothea, the Roman Elegies and the verse drama The Natural Daughter. In the last period, between Schiller's death, in 1805, and his own, appeared Faust Part One, Elective Affinities, the West-Eastern Divan (a collection of poems in the Persian style, influenced by the work of Hafez), his autobiographical Aus meinem Leben: Dichtung und Wahrheit (From My Life: Poetry and Truth) which covers his early life and ends with his departure for Weimar, his Italian Journey, and a series of treatises on art. His writings were immediately influential in literary and artistic circles.

Goethe was fascinated by Kalidasa's Abhijñānaśākuntalam, which was one of the first works of Sanskrit literature that became known in Europe, after being translated from English to German.

Faust Part Two was only finished in the year of his death, and was published posthumously. Also published after his death was the so-called Urfaust, the first sketches, made probably in 1773–74.

The short epistolary novel, Die Leiden des jungen Werthers, or The Sorrows of Young Werther, published in 1774, recounts an unhappy romantic infatuation that ends in suicide. Goethe admitted that he "shot his hero to save himself": a reference to Goethe's own near-suicidal obsession with a young woman during this period, an obsession he quelled through the writing process. The novel remains in print in dozens of languages and its influence is undeniable; its central hero, an obsessive figure driven to despair and destruction by his unrequited love for the young Lotte, has become a pervasive literary archetype. The fact that Werther ends with the protagonist's suicide and funeral—a funeral which "no clergyman attended"—made the book deeply controversial upon its (anonymous) publication, for on the face of it, it appeared to condone and glorify suicide. Suicide is considered sinful by Christian doctrine: suicides were denied Christian burial with the bodies often mistreated and dishonoured in various ways; in corollary, the deceased's property and possessions were often confiscated by the Church. However, Goethe explained his use of Werther in his autobiography. He said he "turned reality into poetry but his friends thought poetry should be turned into reality and the poem imitated." He was against this reading of poetry. Epistolary novels were common during this time, letter-writing being a primary mode of communication. What set Goethe's book apart from other such novels was its expression of unbridled longing for a joy beyond possibility, its sense of defiant rebellion against authority, and of principal importance, its total subjectivity: qualities that trailblazed the Romantic movement.

The next work, his epic closet drama Faust, was to be completed in stages, and only published in its entirety after his death. The first part was published in 1808 and created a sensation. The first operatic version, by Spohr, appeared in 1814, and was subsequently the inspiration for operas and oratorios by Schumann, Berlioz, Gounod, Boito, Busoni, and Schnittke as well as symphonic works by Liszt, Wagner, and Mahler. Faust became the ur-myth of many figures in the 19th century. Later, a facet of its plot, i.e., of selling one's soul to the devil for power over the physical world, took on increasing literary importance and became a view of the victory of technology and of industrialism, along with its dubious human expenses. In 1919, the Goetheanum staged the world premiere of a complete production of Faust. On occasion, the play is still staged in Germany and other parts around the world.

Goethe's poetic work served as a model for an entire movement in German poetry termed Innerlichkeit ("introversion") and represented by, for example, Heine. Goethe's words inspired a number of compositions by, among others, Mozart, Beethoven (who idolised Goethe), Schubert, Berlioz and Wolf. Perhaps the single most influential piece is "Mignon's Song" which opens with one of the most famous lines in German poetry, an allusion to Italy: "Kennst du das Land, wo die Zitronen blühn?" ("Do you know the land where the lemon trees bloom?").

He is also widely quoted. Epigrams such as "Against criticism a man can neither protest nor defend himself; he must act in spite of it, and then it will gradually yield to him", "Divide and rule, a sound motto; unite and lead, a better one", and "Enjoy when you can, and endure when you must", are still in usage or are often paraphrased. Lines from Faust, such as "Das also war des Pudels Kern", "Das ist der Weisheit letzter Schluss", or "Grau ist alle Theorie" have entered everyday German usage.

It may be taken as another measure of Goethe's fame that other well-known quotations are often incorrectly attributed to him, such as Hippocrates' "Art is long, life is short", which is found in Goethe's Faust ("Art is something so long to be learned, and life is so short!") and Wilhelm Meister's Apprenticeship.

#5. Leonardo da Vinci

Leonardo di ser Piero da Vinci, more commonly Leonardo da Vinci or simply Leonardo (15 April 1452 – 2 May 1519), was an Italian polymath whose areas of interest included invention, painting, sculpting, architecture, science, music, mathematics, engineering, literature, anatomy, geology, astronomy, botany, writing, history, and cartography. He has been variously called the father of paleontology, ichnology, and architecture, and is widely considered one of the greatest painters of all time. Sometimes credited with the inventions of the parachute, helicopter and tank, his genius epitomized the Renaissance humanist ideal.

Many historians and scholars regard Leonardo as the prime exemplar of the "Universal Genius" or "Renaissance Man", an individual of "unquenchable curiosity" and "feverishly inventive imagination". According to art historian Helen Gardner, the scope and depth of his interests were without precedent in recorded history, and "his mind and personality seem to us superhuman, while the man himself mysterious and remote". Marco Rosci, however, notes that while there is much speculation regarding his life and personality, his view of the world was logical rather than mysterious, and that the empirical methods he employed were unorthodox for his time.

Born out of wedlock to a notary, Piero da Vinci, and a peasant woman, Caterina, in Vinci in the region of Florence, Leonardo was educated in the studio of the renowned Florentine painter Andrea del Verrocchio. Much of his earlier working life was spent in the service of Ludovico il Moro in Milan. He later worked in Rome, Bologna and Venice, and he spent his last years in France at the home awarded to him by Francis I.

Leonardo was, and is, renowned primarily as a painter. Among his works, the Mona Lisa is the most famous and most parodied portrait and The Last Supper the most reproduced religious painting of all time, with their fame approached only by Michelangelo's The Creation of Adam. Leonardo's drawing of the Vitruvian Man is also regarded as a cultural icon, being reproduced on items as varied as the euro coin, textbooks, and T-shirts. Perhaps fifteen of his paintings have survived. Nevertheless, these few works, together with his notebooks, which contain drawings, scientific diagrams, and his thoughts on the nature of painting, compose a contribution to later generations of artists rivalled only by that of his contemporary, Michelangelo.

Leonardo is revered for his technological ingenuity. He conceptualised flying machines, a type of armoured fighting vehicle, concentrated solar power, an adding machine, and the double hull, also outlining a rudimentary theory of plate tectonics. Relatively few of his designs were constructed or were even feasible during his lifetime, as the modern scientific approaches to metallurgy and engineering were only in their infancy during the Renaissance, but some of his smaller inventions, such as an automated bobbin winder and a machine for testing the tensile strength of wire, entered the world of manufacturing unheralded. A number of Leonardo's most practical inventions are nowadays displayed as working models at the Museum of Vinci. He made substantial discoveries in anatomy, civil engineering, optics, and hydrodynamics, but he did not publish his findings and they had no direct influence on later science.

Today, Leonardo is widely recognized as one of the most diversely talented individuals ever to have lived.

These paintings are famous for a variety of qualities which have been much imitated by students and discussed at great length by connoisseurs and critics. Among the qualities that make Leonardo's work unique are the innovative techniques which he used in laying on the paint, his detailed knowledge of anatomy, light, botany and geology, his interest in physiognomy and the way in which humans register emotion in expression and gesture, his innovative use of the human form in figurative composition, and his use of the subtle gradation of tone. All these qualities come together in his most famous painted works, the Mona Lisa, the Last Supper and the Virgin of the Rocks.

It appears that from the content of his journals he was planning a series of treatises to be published on a variety of subjects. A coherent treatise on anatomy was said to have been observed during a visit by Cardinal Louis 'D' Aragon's secretary in 1517. Aspects of his work on the studies of anatomy, light and the landscape were assembled for publication by his pupil Francesco Melzi and eventually published as Treatise on Painting by Leonardo da Vinci in France and Italy in 1651 and Germany in 1724, with engravings based upon drawings by the Classical painter Nicolas Poussin. According to Arasse, the treatise, which in France went into 62 editions in fifty years, caused Leonardo to be seen as "the precursor of French academic thought on art".

While Leonardo's experimentation followed clear scientific methods, a recent and exhaustive analysis of Leonardo as a scientist by Frtijof Capra argues that Leonardo was a fundamentally different kind of scientist from Galileo, Newton and other scientists who followed him in that, as a Renaissance Man, his theorising and hypothesising integrated the arts and particularly painting.

In 1502, Leonardo produced a drawing of a single span 720-foot (220 m) bridge as part of a civil engineering project for Ottoman Sultan Beyazid II of Constantinople. The bridge was intended to span an inlet at the mouth of the Bosporus known as the Golden Horn. Beyazid did not pursue the project because he believed that such a construction was impossible. Leonardo's vision was resurrected in 2001 when a smaller bridge based on his design was constructed in Norway.

Leonardo was fascinated by the phenomenon of flight for much of his life, producing many studies including Codex on the Flight of Birds (c. 1505), as well as plans for several flying machines such as a flapping ornithopter and a machine with a helical rotor. The British television station Channel Four commissioned a 2003 documentary Leonardo's Dream Machines. Leonardo's designs for machines such as a parachute, and giant crossbow were interpreted, constructed and tested. Some of those designs proved successes, whilst others fared less well when practically tested.

#1. Isaac Newton
English physicist and mathematician, who was the culminating figure of the scientific revolution of the 17th century. In optics, his discovery of the composition of white light integrated the phenomena of colours into the science of light and laid the foundation for modern physical optics. In mechanics, his three laws of motion, the basic principles of modern physics, resulted in the formulation of the law of universal gravitation. In mathematics, he was the original discoverer of the infinitesimal calculus.

#2. Albert Einstein
German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect. Einstein is generally considered the most influential physicist of the 20th century.

#3. Aristotle
Ancient Greek philosopher and scientist, one of the greatest intellectual figures of Western history. He was the author of a philosophical and scientific system that became the framework and vehicle for both Christian Scholasticism and medieval Islamic philosophy. Even after the intellectual revolutions of the Renaissance, the Reformation, and the Enlightenment, Aristotelian concepts remained embedded in Western thinking.

Hey (:

Hi! (:

Hey, (: He does indeed only jog for 25 days. If you include days in which he jogs and does something else, he jogs a total of 73 days.

Oh, what else is there... the total number of calories burned in the year is 48,900 (133 + 37/61 per day).
Also, the 1st of January 2016 was a Friday

Hi!

The above two answers are correct (I simply listed the days and their results in a spreadsheet). You counted all the primes up to 366, plus 1. The 27 non-prime numbers for the days you missed are:
49
77
91
119
121
133
143
161
169
187
203
209
217
221
247
253
259
287
289
299
301
319
323
329
341
343
361

I suppose these numbers have the property that they have only prime divisors not 2, 3 or 5? You may check that.

(Incidentally, he only swims 98 days, only gyms 49 days, only jogs 25 days, swims and gyms 49 days, swims and jogs 24 days, gyms and jogs 12 days, and does all three 12 days)

Hi!

Hey