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Gerson Levi Ben: more detail

The Astronomy of Levi ben Gerson (1288-1344): A Critical Edition of Chapters 1-20 with Translation and Commentary (Studies in the History of Mathematics and Physical Sciences) by Bernard R. Goldstein, 1985-07-15
The Astronomical Tables of Levi Ben Gerson (Connecticut Academy of Arts & Sciences Series, Vol 45) by Bernard R. Goldstein, 1974-06
Philosophie religieuse de Lévi-Ben-Gerson (French Edition) by Isidore. Weil, 1868-01-01
Astronomy of Levi Ben Gerson, 1288-1344
Levi Ben Gerson's Prognostication for the Conjunction of 1345 (Transactions of the American Philosophical Society) by Bernard R. Goldstein, David Pingree, 1990-11
Preliminary remarks on Levi ben Gerson's contributions to astronomy, (Israel Academy of Sciences and Humanities. Proceedings) by Bernard R Goldstein, 1969
R. Levi Ben Gerson: A bibliographical essay by Menachem Marc Kellner, 1979
Introduction to the History of Science. Volume 3, Science and Learning in the Fourteenth Century. Part I, The Time of Abu-l-Fida, Levi ben Gerson, and William of Occam (First half of the fourteenth century) by G. Sarton, 1962
Sefer Maassei Choscheb. Die Praxis des Rechners. Ein hebraisch-arithmetisches Werk des Levi Ben Gerschom aus dem jahre 1321. by Gerson (ed.). Levi ben Gershom [GERSONIDES]; LANGE, 1909-01-01

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Segeln/ Der Jakobsstab, Winkelmessinstrument Der Alten Seefahrer
Translate this page Wenn man in Betracht zieht, dass levi ben gerson, möglicherweise Enkel des Mosesben Nachman (Nachmanides), seine astronomischen Kenntnisse auf Schriften
http://www.esys.org/technik/jakobsstab.html
Spinoza - Theological-Political Treatise: Chapter 9.
Rabbi levi ben gerson and others believe that these forty years which the Therefore it is evident that levi ben gerson (certainly a very learned man),
http://home.earthlink.net/~tneff/tpt09.htm

Extractions: How greatly the inquiry we have just made concerning the real writer of the twelve books aids us in attaining a complete understanding of them, may be easily gathered solely from the passages which we have adduced in confirmation of our opinion, and which would be most obscure without it. But besides the question of the writer, there are other points to notice which common superstition forbids the multitude to apprehend. Of these the chief is, that Ezra (whom I will take to be the author of the aforesaid books until some more likely person be suggested) did not put the finishing touches to the narrative contained therein, but merely collected the histories from various writers, and sometimes simply set them down, leaving their examination and arrangement to posterity. The cause (if it were not untimely death) which prevented him from completing his work in all its portions, I cannot conjecture, but the fact remains most clear, although we have lost the writings of the ancient Hebrew historians, and can only judge from the few fragments which are still extant. For the history of Hezekiah (2 Kings xviii:17), as written in the vision of Isaiah, is related as it is found in the chronicles of the kings of Judah. We read the same story, told with few exceptions, [N11], in the same words, in the book of Isaiah which was contained in the chronicles of the kings of Judah (2 Chron. xxxii:32). From this we must conclude that there were various versions of this narrative of Isaiah's, unless, indeed, anyone would dream that in this, too, there lurks a mystery. Further, the last chapter of 2 Kings 27-30 is repeated in the last chapter of Jeremiah, v.31-34.
Evolution Of The Sextant
It was first described in 1342 by a Jewish scholar named levi ben gerson. 1342 Cross staff described by levi ben gerson
http://home.earthlink.net/~nbrass1/cardart.htm

Extractions: Edited by A. N. Stimson, Head of Navigation Section, Department of Astronomy and Navigation, National Maritime Museum, Greenwich, England. The sextant has come to be widely recognized as a universal nautical symbol. Indeed, the sextant, in conjunction with the compass, has been the basic navigational tool for more than two centuries. The mariners' most prized possession was often his sextant. Witness the drama portrayed by the handwritten account found with a 19th century English sextant. "This sextant was salvaged from the pilot house of the Norwegian steamship Victory by her master, after being sunk by gunfire from a German submarine 35 miles north of Ushant at 1:00 PM on July 6, 1917. The master, 2nd mate, nine crewmen, and a stowaway were rescued from an open boat by the USS O'Brien at 5:30 A.M. on July 7th, 20 miles west of Ushant and were later landed at St. Nazaire, France. As a token of his gratitude for the rescue the master gave this sextant to the Captain of the O'Brien (jpeg 18K) It is only in the last 20 years, with the advent of satellite navigation and inertial guidance, that the demise of the sextant has been heralded. Yet, despite its obsolescence in the computer age, the simplicity, accuracy, and relatively low cost of the sextant will ensure its survival.
Telescopes
The crossstaff, just a simple cross with a movable bar, was invented by Jewishastronomer levi ben gerson (1288-1344). With a cross-staff, mariners could
http://www.crystalinks.com/telescopes.html

Extractions: Man has always followed the heavens. Ancient creational Myths and Legends always connected with Gods and Goddesses linked to celestial bodies. It was only a matter of time before humanity could find a better way to peer into the heavens for a closer look at their Gods and Goddesses. To truly understand what the sky and its lights are all about, human beings eventually realized they couldn't just rely on their eyes. They had to develop tools to help explore what stretched far above them. The telescope was the key invention in the progress to modern astronomy, but it took many thousands of years before anyone succeeded in inventing one. This is somewhat surprising since water's ability to change and sometimes magnify objects beneath the surface must have been noticed as early as caveman times. Glass was discovered around 3500 BCE, and crude lenses were even found in Crete and Asia Minor, dating from 2000 BCE. A number of well-respected writers as early as classic times reported about refraction, reflection, and magnification. But for some reason no one put together all these observations and discoveries in the right way until the early 17th century. Instead, ancient peoples used many other kinds of tools and aids to help them observe and track the stars and planets. Ancient sites like Stonehenge in Great Britain and the Egyptian pyramids are some of the earliest evidence we have that our ancestors made pretty accurate observations of the sky. We know that because these sites are aligned in special ways. At Stonehenge, for example, one can see the sun rise through one arch at the summer solstice, which is the time when the sun is at its farthest point north in the sky.
Page About Freemasonry, Essays: Pythagoras And Mystic Science
The leading Jewish mathematician of the 14th century was Rabbi levi bengerson (RaLBaG)of Catalonia, but more commonly known in science books as Master Leo
http://web.mit.edu/dryfoo/Masonry/Essays/pythagoras.html

Extractions: Dr. Daniel Farhey, Jacob Caspi Lodge, Haifa, Israel In fact, the "Ancient Mysteries' Magi" specialized in "science" as it was perceived in those days, with the considerable influence of their "specialization" in paganism. The sparse knowledge of the Magi and the surrounding society caused the secrecy and mysticism. At this period, special instructors called "Sophists" (scholars) were brought from Sicily. Opposed to the first and original Pythagoreans, the Sophists taught for pay and somehow abandoned the secrecy and mysticism. Hippocrates, a Pythagorean, was the principal combatant against the secrecy and published for the first time a book entitled "Principles". Subsequently, a very famous school was founded in Alexandria, Egypt, under Pythagorean influence. The most famous scholars were Euclid, Ptolemy, Menelaus, and Nicomachus, who revived the original Pythagorean theory. After the year A.D. 415, these theories did not continue to develop in Alexandria and the principal subject for research and study was theology, while the paganism passed away with the art of science. In the year A.D. 529, all the schools in Athens were closed according to an order of the Byzantine emperor Justinian I, thus ending one of the most brilliant periods in the development of mathematics and science. The philosophy and many theories on the Pythagorean way of life, transmitted orally by Pythagoras, were considerably influenced by the way of life of Judaism and the Bible, which was the only source explicitely prescribing the order. King Solomon lived about 400 years before Pythagoras. After the destruction of the First Temple of Jerusalem (586 B.C., before Pythagoras was born), under foreign and hostile rule, Jews gathered in regional schools. The five-pointed star (not six!) refered in Judaism "Solomon's Seal" and by the Greeks "pentagrama", was, in addition to the triangle, one of the symbols of the Pythagoreans. As known, the most ancient source of the pentagrama found by archeologists is Jewish. There is even a presumption that it was the symbol of the Jews before the six-pointed star "Shield of David".
Gersonides
levi ben gerson was born in 1288 in Provence and may have lived for a time in levi ben gerson s Contributions to Astronomy in Studies on gersonides.
http://www.seop.leeds.ac.uk/archives/spr2004/entries/gersonides/

Extractions: AUG Perhaps no other medieval Jewish philosopher has been so maligned over the centuries as Gersonides (Levi ben Gerson, acronym Ralbag). Indeed, his major philosophical work, Sefer Milhamot Ha-Shem The War of the Lord , 1329), was called " Wars against the Lord " by one of his opponents. Despite the vilification of his position, Gersonides emerges as one of the most significant and comprehensive thinkers in the medieval Jewish tradition. He has been constantly quoted (even if only to be criticized), and, through the works of Hasdai Crecas and others, Gersonides' ideas have influenced such thinkers as Gottfried Wilhelm Leibiniz and Benedict de Spinoza. This article will survey his major contributions to medieval philosophy. 1. Introduction
Gersonides
levi ben gerson was born in 1288 in Provence and may have lived for a time in levi ben gersons Contributions to Astronomy in Studies on gersonides.
http://www.seop.leeds.ac.uk/archives/win2001/entries/gersonides/

Extractions: This is a file in the archives of the Stanford Encyclopedia of Philosophy A B C D ... Z Perhaps no other medieval Jewish philosopher has been so maligned over the centuries as Gersonides (Levi ben Gerson, acronym Ralbag). Indeed, his major philosophical work, Sefer Milhamot Ha-Shem The War of the Lord , 1329), was called " Wars against the Lord In the introduction to his recently completed translation of Wars of the Lord , Feldman suggests that the significance of Gersonides lies in his emphasis upon "religious rationalism in Judaism." According to Feldman, we see a man who "has taken seriously the fact that he has reason, who believes that this faculty is God-given, and who attempts to understand God with this instrument" ( Wars , p. 52). Gersonides is the philosopher who attempted to show that philosophy and Torah, that reason and revelation are co-extensive; he is a philosophical optimist who believes that reason was fully competent to attain all the important and essential truths. Thus, according to Feldman, Gersonides is "a most vigorous and consistent defender of human reason in religion"( Wars , p. 53).
A Theologico-Political Treatise - Endnotes
(2) Rabbi levi ben gerson and others believe that these forty years which the (5) Therefore it is evident that levi ben gerson (certainly a very learned
http://www.worldwideschool.org/library/books/relg/christiantheology/ATheologico-

Extractions: by Benedict de Spinoza Translated by R. H. M. Elwes Terms Contents Preface Chapter I ... Endnotes Endnotes Author's Endnotes to the Theologico-Political Treatise hapter I Endnote 1. (1) The word naw-vee', Strong:5030, is rightly interpreted by Rabbi Salomon Jarchi, but the sense is hardly caught by Aben Ezra, who was not so good a Hebraist. (2) We must also remark that this Hebrew word for prophecy has a universal meaning and embraces all kinds of prophecy. (3) Other terms are more special, and denote this or that sort of prophecy, as I believe is well known to the learned. Endnote 2. (1) "Although, ordinary knowledge is Divine, its professors cannot be called prophets." That is, interpreters of God. (2) For he alone is an interpreter of God, who interprets the decrees which God has revealed to him, to others who have not received such revelation, and whose belief, therefore, rests merely on the prophet's authority and the confidence reposed in him. (3) If it were otherwise, and all who listen to prophets became prophets themselves, as all who listen to philosophers become philosophers, a prophet would no longer be the interpreter of Divine decrees, inasmuch as his hearers would know the truth, not on the, authority of the prophet, but by means of actual Divine revelation and inward testimony. (4) Thus the sovereign powers are the interpreters of their own rights of sway, because these are defended only by their authority and supported by their testimony.
New York Kollel - Meet The Author
To begin with, gersonides (levi ben gerson, 12881344) The Wars of the Lord isvery long and very complicated. And translating fourteenth century Hebrew
http://www.huc.edu/kollel/eb0300.html

Extractions: Stephen J. Whitfield (Brandeis/New England) Have even a slight encounter with American theater and music, American literature and art, and you will notice a Semitic presence out of proportion to our small numbers. But also be aware of the strong interactive relationship between the general, secular society and our particularist one. Only by emphasizing our distinctive religious faith, more than either practice or doctrine, will our Judaism remain viable. Whitfield's thesis: We must consciously maintain our "otherness" in the face of rampant assimilation to keep American Jewish culture Jewish. This Month's Notable Books
G
gerson, levi ben, X. gersonides, X X. Gestalt Psychology, X. Gettier problem,X. Gettier, Edmund, X. Geulincx, Arnold, X X. Geyser, Joseph, X
http://www.ditext.com/encyc/g.html

Extractions: Main Entry R I S M B C N Gabirol, Solomon Ibn X Gadamer, Hans-Georg X X Galen, Claudius X Galenian Figure X Galileo X X X X Gall, Franz Joseph X game theory X game theory and ethics X game theory, evolutionary X Gandhi, Mahatma X Garbha X Gassendi, Pierre X X X X Gauss, C. F. X Gautama Buddha X Gay, John X X Gegenstandstheorie X Geist X Gemara X Gemeinschaft/Gesellschaft X gender / sex X gene X general relativity, early philosophical interpretations of X general will X generality constraint X Generalization X Generalization, rule of X Generative Theory of Data X Generic Image X Genesis X Genetic X Genetic Fallacy X Genetic Method X Genetics Genetics, evolutionary X Genetics, genotype/phenotype distinction X Genius X Genres X Gentile, Giovanni X Gentner, Dedre X Genus X genus and differentia X Genus, summum X Geometry X Geometry, finitism in X Geometry, nineteenth century X Gerard of Cremona X Gerbert of Aurillac X German Idealism X German Philosophy, in the 18th century, prior to Kant X Gerson, Levi ben X Gersonides X X Gestalt Psychology X Gettier problem X Gettier, Edmund
Dictionary Of Philosophy
gerson, levi ben (gersonides) Bible commentator, astronomer, andphilosopher (12881340). He invented an instrument for astronomical observationwhich is
http://www.ditext.com/runes/g.html

Extractions: Dagobert D. Runes, Dictionary of Philosophy A B C ... Z Gabirol, Solomon Ibn: Known to scholastics as Avicebron (q.v.), but not identified as such until the discovery by the French scholar, Munk. See Jewish Philosophy . M.W. Galen, Claudius: Famous physician; died about the year 200 A.D.; an Eclectic philosopher who combined the Peripatetic and Stoic teachings. Galen was the chief authority in medicine practically until the time of Vesalius (c. 1543). He is responsible for the fourth figure in the syllogism. His voluminous works remain untranslated. M.F. Galenian Figure: See Figure, syllogistic Garbha: (Skr. seed) The creative power that lies at the bottom of the world, hypostatized in or symbolized by the germ or seed. In cosmologico-metaphysical conception it is allied to such termini technici as hiranyagarbha (golden germ), bija (seed), retas (semen), yoni (womb), anda (egg, world-egg), jan (to give birth to), srj (to pour out), etc., descriptive of psycho-cosmogony from the earliest days of Indian philosophy (s.v.). K.F.L. Gassendi, Pierre:
Ari Davidow: Hebrew Typesetter Extraordinaire: A Visit With Lili Wronker
The legal code, Path of Life the traveler s tales of Eldad the Danite, thepopular version of Josephus, Rabbi levi ben gerson s commentary on the
http://www.ivritype.com/hebrew/2004/08/a_visit_with_li.php

Extractions: Main About 15 years ago I was relatively new to Hebrew type. A local friend, Briem, suggested that I contact someone he knew in New York who was a wonderful calligrapher, and had even contributed a page to his book, "60 Alphabets". Little did I know. So, prior to my next trip to New York, I contacted Ms. Wronker, who suggested that we meet at the New York Public Library, which was then doing an exhibit on Hebrew ("A Sign and a Witness: 2000 Years of Hebrew Books and Illuminated Manuscripts"). We met. She was a lively person, somewhat past middle-aged, but not remotely old. And, in the hour we spent going through the New York Public Library Exhibit I learned my about Hebrew lettering that I have learned before or since. From micrography to the latest types, Lili could point out the salient points, give them context and description, and quickly move me on, the better to finish up and go back to her place for lunch and an afternoon of book study. This was the sort of place in which Lili and Erich, her husband, even kept a small letterpress in their bedroom. Lili is still my teacher, although I would also claim that we are also friends. This past week I dropped by to catch up, to tell her about my forthcoming
1288 1344
Astronomy of levi ben gerson, 12881344 (Studies in the History of Mathematics levi ben gerson s Prognostication for the Conjunction of 1345
http://1288-1344.idoneos.com/

Extractions: My interest in Gersonides was because he felt that the perfection of mathematics proved the existence of God. Although this book is well written, Gersonides comes off as a real [...]. The arrangement of the subject material makes it a complete waste of time. An accessible review of a complicated philosopher Levi ben Gershom, better known as Gersonides, or the Ralbag, isn't an easy philosopher to read. Very few of his works have modern translations, and those that do exist are of little help to those without a background in medieval philosophy. For those of us who are interested in the radical theological innovators of the medieval era, such as Gersonides and Maimonides, it is helpful to have a guide such as Eisen's book to guide us through Gersonide's sophisticated arguments. It is concise, well written, helpful, and does not make the mistake of talking down to the reader. A certain amount of intellectual sophistication is assumed on the part of the reader - but I assume that this would be true of anyone who wishes to read Gersonides to begin with!
Manuscript Detail
Colophon records the scribes name as Joesph ben Isaac Gallico, (Albategnius)and levi ben gerson; that is, it was GreekArabic astronomy,
http://dewey.library.upenn.edu/sceti/ljs/PageLevel/view.cfm?option=view&ManID=lj
BSHM: Abstracts -- M
Mancha, JL, Heuristic reasoning approximation procedures in levi ben gersons reasoming) used by levi ben gerson (12881344) in his Astronomy,
http://www.dcs.warwick.ac.uk/bshm/abstracts/M.html

Extractions: The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - M Maanen, Jan van, Seventeenth century instruments for drawing conic sections, Mathematical gazette A consequence of Descartes new approach to geometry (1637) was an increased interest in instruments for drawing conic sections. This article sketches the background to this growing interest and describes some of the instruments designed by the Dutch mathematician Van Schooten (1615/6-1660). Maanen, Jan van, The double-meaning method for dating mathematical texts, M. Folkerts and J.P. Hogendijk (eds), Vestigia mathematica , Rodopi 1993, pp. 253-263
BSHM: Abstracts -- L
The reconstruction of the quadrature by levi ben gerson (12881344) is whollyoriginal. Larvor, Brendan, History, methodology and early algebra,
http://www.dcs.warwick.ac.uk/bshm/abstracts/L.html

Extractions: The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - L Lacki, Jan, The early axiomatizations of quantum mechanics: Jordan, von Neumann and the continuation of Hilberts program, Archive for history of exact sciences When Hilberts axiomatization of physical theories faced the rise of quantum mechanics, the novelty of the mathematics was matched by its lack of physical interpretation. Von Neumann, the most outstanding of Hilberts heirs, continued his programme and pushed it to the limit, blending axiomatic rigour with interpretative commitment. Lam Lay Yong, Jiu zhang suanshu (Nine chapters on the mathematical art): an overview, Archive for history of exact sciences Jiu zhang suanshu is one of the earliest and most important Chinese texts, and is built on a rod-numeral system with conceptually the same decimal place-value structure (albeit with alternating orientation) as our own. It encompassedprobably most of Chinese mathematical knowledge at the beginning of the second century AD, and had a great influence. Archive for history of exact sciences
Lunar Republic : Craters
levi ben gerson (12881344), French-born Jewish philosopher, mathematician andastronomer; invented Jacob s Staff, an instrument to measure the angular
http://www.lunarrepublic.com/gazetteer/crater_r.shtml

Extractions: Craters (R) Craters A B C D ... Return To Gazetteer Index Latin Name Lat Long Diam Origin Rabbi Levi Levi ben Gerson (1288-1344), French-born Jewish philosopher, mathematician and astronomer; invented Jacob's Staff, an instrument to measure the angular distance between celestial objects. Racah Giulio ~ (1909-1965), Italian-Israeli physicist. Racine Jean-Baptiste ~ (1639-1699), French classical playwright. Raimond J. J. ~, Jr. (1903-1961), Dutch astronomer. Raman Chandrasekhra Venkata ~ (1888-1970), Indian physicist; in 1930, he became the first Asian to receive a Nobel Prize in science (physics). Ramsay Sir William ~ (1852-1916), Scottish chemist; awarded Nobel Prize in chemistry (1904). Ramsden Jesse ~ (1735-1800), British inventor; perfected early sextants and barometers; devised the first satisfactory screw-cutting lathes at dawn of the Industrial Revolution. Rankine William John Macquorn ~ (1820-1872), Scottish inventor, civil engineer, poet and molecular physicist. Raspletin Aleksandr Andreyevich ~ (1908-1967), Soviet radio and electronics engineer.
The History Of The Sextant
The concept probably arrived in Europe when levi ben gerson, working in theSpanish school at Catalan in 1342, wrote about an instrument called a balestilla
http://www.mat.uc.pt/~helios/Mestre/Novemb00/H61iflan.htm

Extractions: Peter Ifland Talk given at the amphitheatre of the Physics Museum under the auspices of the Pro-Rector for Culture and the Committee for the Science Museum of The University of Coimbra, the 3 October 2000. "Where are we?" Well, yes. We're sitting here safe and dry in the Science Museum at the University of Coimbra. But the question has a different urgency when the ship is approaching a rocky coast and the life of the ship and its crew depends on a fast and accurate answer. It's the Navigator's job to provide the answer. So what do navigators need to find their position on the earth's surface by observing the stars? They need an Almanac prepared by the astronomers to forecast precisely where the heavenly bodies, the sun, moon planets and selected navigational stars, are going to be, hour by hour, years into the future, relative to the observatory that prepared the almanac, Greenwich, England in modern times. They need a chronometer or some other means of telling the time back at the observatory that was the reference point for the data in the almanac
University Of Pittsburgh: Department Of Religious Studies: Faculty
Professor Goldstein has written extensively on medieval Jewish scientific textswith special attention to the work of levi ben gerson gersonides,
http://www.pitt.edu/~relgst/faculty_bg.html

Extractions: University Professor (Emeritus) Bernard R. Goldstein was the first director of the Jewish Studies Program at the University. Professor Goldstein has written extensively on medieval Jewish scientific texts with special attention to the work of Levi ben Gerson [Gersonides], and he has also published essays and articles on aspects of the Hebrew Bible and its construction. In 2003 a Festschrift in his honor was published in Centaurus , an international journal for the history of science. He may be reached via e-mail: brg@pitt.edu
Secondary Faculty - Department Of History And Philosophy Of Science
He is author of The Arabic Version of Ptolemy s Planetary Hypotheses (1971), TheAstronomical Tables of levi ben gerson (1974), and Theory and Observation
http://www.pitt.edu/~hpsdept/people/secondary_faculty.html

Extractions: homepage Alan Ross Anderson Distinguished Professor of Philosophy (PhD, Yale, 1960). Before joining the faculty at Pitt in 1963, he taught at Yale. He is co-author (with Thomas B. Steel) of The Logic of Questions and Answers (Yale, 1976), of Entailment: The Logic of Relevance and Necessity (volume 1, with Alan Ross Anderson, 1976; volume 2, with Alan Ross Anderson and J. Michael Dunn, 1992), and (with Anil Gupta) of The Revision Theory of Truth (MIT, 1993), and co-author (with Michael Perloff and Ming Xu) of Facing the Future: Agents and Choices in Our Indeterminist World (Oxford, 2001). He has been a Guggenheim Fellow, an NEH Fellow, and a fellow at the Center for Advanced Study in the Behavioral Sciences. His present interests lie principally in philosophical logic, with other interests in metaphysics, the philosophy of the social sciences, and computer science. Philosophy of Physics homepage Associate Professor (Ph.D., Pittsburgh, 1996). Before joining the faculty at Pitt in 2004, he taught at Princeton and NYU. He has held a post-doctoral fellowship from the Social Sciences and Humanities Research Council and a fellowship from the National Science Foundation. His primary interests are in philosophy of physics and philosophy of science. Several of his recent papers are concerned with the interpretative, methodological, and metaphysical implications of symmetry principles.

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