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Marin Mersenne

(b La Soultière, 8 Sept 1588; d Paris, 1 Sept 1648). French mathematician,philosopher and theorist. One of the leading French thinkers of the 17th century, he lived in Paris from 1619 as a Jesuit priest. His work is central to the academic and scientific movements of his time, and a major part of it is devoted to music. On the basis of practical experiment and observations, he made important discoveries concerning the nature and behaviour of sound, which are the foundation of the science of acoustics in later times. He also wrote on the theory and practice of music. His principal musical treatise is the Harmonie universelle (1636-7).



 
 

Mersenne, Marin (1588-1648). French mathematician and theologian who, like Peiresc and Gassendi, combined an adherence to the new science with firm commitment to Catholicism. He was educated at the Jesuit Collège de la Flèche and became a Minim in 1611. His first publications were on theological issues; he opposed both atheism and hermetic philosophy, and wrote a pamphlet in 1624 against the libertins. His most important mathematical work was in the field of acoustics and optics. He attacked the scepticism of Montaigne and was an ardent defender of Galileo. Like the latter, he argued that essences were unknowable, but that precision in observation and experiment could provide the basis for quantitative mathematical analysis. His scientific empiricism is close to that of Bacon, but in matters of language and communication his work bears the mark of rationalism. His house was an important meeting-place for philosophers and scientists: the young Pascal met Descartes there in 1647. Gassendi was one of his close friends. Mersenne is associated with the origins of mechanistic philosophy. Like Peiresc, he engaged indefatigably in international correspondence.

[Ian Maclean]

 
Philosophy Dictionary: Marin Mersenne

Mersenne, Marin (1588-1648) A key figure of the French 17th century, Mersenne studied, like Descartes, at La Flèche, and subsequently taught in Nevers and Paris. Mersenne was a correspondent of all the great mathematicians and scientists of the time, and was described by Hobbes as ‘the pole round which revolved every star in the world of science’. Mersenne's principal philosophical preoccupation was the refutation of Pyrrhonian scepticism, and the correct acceptance and interpretation of scientific and mathematical knowledge. His attitude to science and mathematics is a forerunner of modern instrumentalism, for although the Pyrrhonist is right that knowledge of reality is unattainable, science suffices to serve as the guide of our actions. Mersenne's writings include the La Vérité des sciences contre les sceptiques ou pyrrhoniens (‘The Truth of Science against the Sceptics or Pyrrhonians’, 1625), and he is the author of the 2nd and 6th sets of Objections to Descartes's Meditations. He died in the arms of Gassendi.

 
History 1450-1789: Marin Mersenne

Mersenne, Marin (1588–1648), French mathematician, scientist, and theologian. Mersenne was born in the hamlet of La Soultière in the parish of Oizé, the son of Julien Mersenne, a farmer of modest means, and his wife, Jeanne Moulière. When a new Jesuit school at La Flèche opened in 1604, strongly supported by King Henry IV, Mersenne immediately transferred there, graduating in 1608. He continued his studies at the Sorbonne for two years, leaving to join the Order of Minims, a mendicant order founded in the fifteenth century by St. Francis of Paola, and in 1614 was sent to teach at their convent in Nevers.

There he began writing letters to ask the advice of others, primarily about scientific matters. In 1619 he moved to the Minim convent in Paris and continued writing to an ever-expanding group of scientists. As a result, he knew or corresponded with most of the leading scientists of his day. He often sent them a list of questions and then communicated their replies to others to encourage further work on the responses he received. His correspondence, published in the twentieth century, contains a wealth of information about many of the scientific ideas of the period. The letters Mersenne exchanged with René Descartes, for example, are an important source for studying the development of Descartes's ideas.

In 1635 Mersenne further encouraged the exchange of ideas by establishing a group called the Academia Parisiensis, which met on Thursdays and was attended by the outstanding scientists and mathematicians of his day. It was continued by others after his death and was an important forerunner of the Académie des Sciences.

Mersenne published over twenty books during his lifetime, and a treatise on optics appeared after his death. He began with the stated objective of examining the latest ideas in natural philosophy to see what their impact on Catholic theology might be and to show that, if properly understood, they did not threaten religion. As he continued to write and publish, he put more emphasis on science itself, but never forgot his purpose in studying it.

His first work, Quaestiones Celeberrimae in Genesim (1623; Well-known questions on Genesis), was written as a commentary on the book of Genesis in which he interspersed the text with an examination of a number of current ideas troubling religion. He dealt with atheism by providing thirty-five "proofs" of the existence of God. He also defended religious miracles against an attack by the Renaissance naturalist Julius Caesar Vanini, who had been executed as an atheist in Toulouse in 1619, by underscoring the limitations of scientific explanations. In the third part of the work, given the separate title Observationes, he pointed out flaws in Hermetic and magical accounts of natural phenomena. In the middle section, he addressed scientific questions such as whether the earth moves, or whether the heavenly spheres are solid, and gave a description of magnetism, drawing on the De Magnete (On the magnet) of the English physician William Gilbert (1544–1603).

His next work, L'impiété des déistes . . . (1624; The impiety of deists), developed some of these criticisms further. He then turned to a consideration of the nature of scientific theories in La vérité des sciences . . . (1625; The truth of the sciences), concluding that we cannot know their truth and that we must settle for "mitigated skepticism" or a science of probabilities.

In the 1630s Mersenne published several works in which he advocated treating nature quantitatively and analyzing it mathematically. In these works he reported on the latest developments in science. He also demonstrated his admiration for the work of Galileo by publishing in 1634 a French paraphrase of an early manuscript of Galileo's on mechanics. In Questions théologiques, physiques, morales et mathématiques (Theological, physical, moral, and mathematical questions), he summarized Galileo's arguments for the motion of the earth from The Two Chief World Systems, the work that resulted in Galileo's condemnation by the Inquisition, although he was careful to remove the arguments from a copy he gave a friend to carry to Rome. He did include the Inquisition's sentence against Galileo. He also published a French version of Galileo's Two New Sciences, his major contribution to physics.

One of the sciences that interested Mersenne was music. Medieval scholars had considered it a form of mathematics, and Mersenne accepted that designation. He discussed music in several of his publications, but especially in his Harmonie universelle . . . (1635–1636), in which he described the musical instruments of his day and how they were played, analyzing musical theory and harmony, and developing his own musical philosophy.

In the 1640s he concentrated more directly on the physical sciences, such as ballistics, hydraulics, pneumatics, mechanics, and the recent work on air pressure.

Satisfied that he had helped to remove obstacles to further research, Mersenne believed that science was progressing along a path that would not clash with religion.

Bibliography

Primary Source

Mersenne, Marin. Correspondance du P. Marin Mersenne. 17 vols. Paris, 1932–1988.

Secondary Sources

Beaulieu, Armand. Mersenne: le grand minime. Brussels, 1995. By the last editor of Mersenne's correspondance.

Dear, Peter. Mersenne and the Learning of the Schools. Ithaca, N.Y., 1988. A careful evaluation of Mersenne's philosophy of science.

Lenoble, Robert. Mersenne ou la naissance du mécanisme. Paris, 1943. The standard work on Mersenne.

—WILLIAM L. HINE

 
Wikipedia: Marin Mersenne

Marin Mersenne, Marin Mersennus or le Père Mersenne (September 8, 1588September 1, 1648) was a French theologian, philosopher, mathematician and music theorist, often referred to as the "father of acoustics" (Bohn 1988:225).

Life

Marin Mersenne (pronounced Mayr-senn) was born of peasant parents near Oizé, Maine (present day Sarthe). He was educated at Le Mans and at the Jesuit College of La Flèche. On July 17, 1611, he joined the Minim Friars, and, after studying theology and Hebrew in Paris received his full holy orders in 1613.

For a time, he taught philosophy at Nevers but returned to Paris in 1620 at the convent of L'Annonciade. There, with other kindred spirits such as Descartes, Étienne Pascal, Gilles de Roberval and Nicolas-Claude Fabri de Peiresc, he studied mathematics and music. He corresponded with Giovanni Doni, Constantijn Huygens and other scholars in Italy, England and Holland. For four years he devoted himself entirely to philosophic and theological writing, and published Quaestiones celeberrimae in Genesim (1623); L'Impieté des déistes (1624); La Vérité des sciences (Truth of the Sciences against the Sceptics, 1624). It is sometimes incorrectly stated that he was a Jesuit. He was educated by Jesuits, but he never joined the Society of Jesus. He taught theology and philosophy at Nevers and Paris. In 1635 Mersenne met with Tommaso Campanella, but concluded that he could "teach nothing in the sciences (...) but still he has a good memory and a fertile imagination." Mersenne asked if René Descartes wanted Campanella to come to Holland to meet him, but Descartes declined. He visited Italy three times, in 1640, 1641 and 1645.

He died through complications arising from a lung abscess.

Work

Quaestiones celeberrimae in Genesim (1623)

It was written as a commentary on the book of Genesis and comprises uneven sections headed by verses from the first three chapters of that book. At first sight the book may appear to be a collection of treatises on various miscellaneous topics. However Robert Lenoble has shown that the principle of unity in the work is a diatribe against magical and divinatory arts, cabalism, animistic and pantheistic philosophies. He mentions Martin Del Rio's Investigations into Magic and criticises Marsilio Ficino for claiming power for images and characters. He condemns astral magic and astrology and the anima mundi a concept popular amongst renaissance neo-platonists. Whilst allowing for a mystical interpretation of the Cabala, he wholeheartedly condemned its magical application - particularly to angelology. He also criticises Pico della Mirandola, Cornelius Agrippa and Francesco Gorgio with Robert Fludd as his main target. Fludd responded with Sophia cum moria certamen (1626), wherein Fludd admits his involvement with the Rosicrucians. The anonymous Summum bonum (1629), another critique of Mersenne, is an openly Rosicrucian text. The cabalist Jacques Gaffarel joined Fludd's side, while Pierre Gassendi defended Mersenne.

Other

Mersenne is remembered today thanks to his association with the Mersenne primes. However, he was not primarily a mathematician; he wrote about music theory and other subjects. He edited works of Euclid, Archimedes, and other Greek mathematicians. But perhaps his most important contribution to the advance of learning was his extensive correspondence (in Latin, of course) with mathematicians and other scientists in many countries. At a time when the scientific journal had not yet come into being, Mersenne was the center of a network for exchange of information.

His philosophical works are characterized by wide scholarship and the narrowest theological orthodoxy. His greatest service to philosophy was his enthusiastic defence of Descartes, whose agent he was in Paris and whom he visited in exile in the Netherlands. He submitted to various eminent Parisian thinkers a manuscript copy of the Meditations on First Philosophy, and defended its orthodoxy against numerous clerical critics.

In later life, he gave up speculative thought and turned to scientific research, especially in mathematics, physics and astronomy. In this connection, his best known work is Traité de l'harmonie universelle (also referred to as Harmonie universelle) of 1636, dealing with the theory of music and musical instruments. It is regarded as a source of information on 17th century music, especially French music and musicians, to rival even the works of Pietro Cerone.

One of his many contributions to musical tuning theory was the suggestion of

\sqrt{\sqrt{2\over3-\sqrt2}}

as the ratio for an equally-tempered semitone. It was more accurate (0.44 cents sharp) than Vincenzo Galilei's 18/17 (1.05 cents flat), and could be constructed using straightedge and compass. Mersenne's description in the 1636 Harmonie universelle of the first absolute determination of the frequency of an audible tone (at 84 Hz) implies that he had already demonstrated that the absolute-frequency ratio of two vibrating strings, radiating a musical tone and its octave, is 1 : 2. The perceived harmony (consonance) of two such notes would be explained if the ratio of the air oscillation frequencies is also 1 : 2, which in turn is consistent with the source-air-motion-frequency-equivalence hypothesis.

See also: Equal temperament.

References

  • Bohn, Dennis A. (1988). Environmental Effects on the Speed of Sound. Journal of the Audio Engineering Society 36.4:223-231.

Bibliography

Works by Mersenne

  • Euclidis elementorum libri, etc. (Paris, 1626)
  • Les Mécaniques de Galilée (Paris, 1634)
  • Questions inouies ou recreations des savants (1634)
  • Questions théologiques, physiques, etc. (1634)
  • Harmonie universelle (Paris, 1636-7)
  • Nouvelles découvertes de Galilée (1639)
  • Cogitata physico-mathematica (1644)
  • Universae geometriae synopsis (1644)

Works about Mersenne

  • Adrien Baillet, Vie de Descartes (1691)
  • Poté, Éloge de Mersenne (1816)
  • Gehring, F. (1922) "Mersennus, Marin (le Père Mersenne)", Grove's Dictionary of Music and Musicians (ed. J.A. Fuller Maitland)

External links

This article incorporates text from the Encyclopædia Britannica Eleventh Edition, a publication now in the public domain.pms:Marin Mersenne


 
 

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Music Encyclopedia. The Concise Grove Dictionary of Music. Copyright © 1994 by Oxford University Press, Inc.. All rights reserved.  Read more
French Literature Companion. The New Oxford Companion to Literature in French. Copyright © 1995, 2005 by Oxford University Press. All rights reserved.  Read more
Philosophy Dictionary. The Oxford Dictionary of Philosophy. Copyright © 1994, 1996, 2005 by Oxford University Press. All rights reserved.  Read more
History 1450-1789. Encyclopedia of the Early Modern World. Copyright © 2004 by The Gale Group, Inc. All rights reserved.  Read more
Wikipedia. This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Marin Mersenne" Read more

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