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    Minerals and Their Uses

    Every segment of society uses minerals and mineral resources everyday. The

    roads we ride or drive on and the buildings we live learn and work in all contain minerals.

    Below is a selected list of commonly used metallic and nonmetallic minerals, ore

    minerals, mineral byproducts, aggregates, and rock types that are used to make products

    we use in our daily life.

    Aggregates

    Natural aggregates include sand, gravel, and crushed stone. Aggregates are

    composed of rock fragments that may be used in their natural state or after mechanical

    processing, such as crushing, washing, or sizing. Recycled aggregates consist mainly of

    crushed concrete and crushed asphalt pavement.

    Aluminum

    Aluminum is the most abundant metallic element in the Earth's crust. Bauxite ore

    is the main source of aluminum. Aluminum is used in automobiles and airplanes (36%),

    bottling and canning industries (25%), building and electrical (14%) and in other

    applications (25%).

    Antimony

    Antimony is a silvery-gray, brittle semi-metal. It rarely occurs in nature as a

    native element, but is found in a number of different minerals. Antimony is used

    principally for flame retardants as well as in ammunition and automotive batteries and as

    a decolorizing agent in glassmaking.

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    Asbestos

    Asbestos is a class of minerals that can be readily separated into thin, strong fibers that

    are flexible, heat resistant, and chemically inert. Asbestos minerals are used in fireproof

    fabrics, yarn, cloth, and paper and paint filler. Asbestos is used to make friction products,

    asbestos cement pipes and sheets, coatings and compounds, packing and gaskets, roofing

    and flooring products, paints and caulking, and chemical filters. Fibers are dangerous

    when breathed, so users must protect against fibers becoming airborne.

    Basalt

    Basalt is an extrusive igneous rock. Crushed basalt is used for railroad ballast,

    aggregate in highway construction, and is a major component of asphalt.

    Barium

    Barium is an element, derived primarily from the mineral barite, and used as a

    heavy additive in oil-well-drilling mud, paints, rubber, plastic and paper; production of

    barium chemicals; and glass manufacturing.

    Beryllium

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    Beryllium, an element commonly associated with igneous rocks, has industrial

    and nuclear defense applications and is used in light, very strong alloys for the aircraft

    industry. Beryllium salts are used in x-ray tubes and as a deoxidizer in bronze metallurgy.

    The gemstones of beryl, a beryllium mineral, are emerald and aquamarine.

    Bismuth

    Bismuth is used in a number of very different applications. The majority is

    consumed in bismuth alloys, and in pharmaceuticals and chemicals. The remainder is

    used in ceramics, paints, catalysts, and a variety of minor applications. Bismuth metal is

    relatively inert and non-toxic. It has replaced toxic lead in many applications such as

    plumbing, bullets, birdshot, metal alloys, and soldering. Bismuth compounds are used in

    stomach-upset medicines (hence the trademarked name Pepto-Bismol), treatment of

    stomach ulcers, soothing creams, and cosmetics.

    Boron

    Boron compounds are used for many different purposes in industry and the home.

    Boron is used to make glass, ceramics, enamels, fiberglass, make water softeners, soaps

    and detergents. Other uses are in agricultural chemicals, pest controls, fire retardants,

    fireworks, medicine, and various minor applications. Boron nitride is one of the hardest

    known substances and is used for abrasives and cutting tools.

    Bromine

    Bromine, recovered commercially through the treatment of seawater brines, is

    used in leaded gasoline, fire extinguishers and retardants, well-completion fluids, and

    sanitary preparations. Bromine is the only liquid nonmetallic element.

    Cadmium

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    Cadmium is used in plating and alloying, pigments, plastics, and batteries.

    Cadmium is obtained from the ore minerals Sphalerite (Zn,Cd)S and Greenockite (CdS)

    Calcium

    The primary use of calcium is not in its silvery-white metal form, but as calcium

    carbonate. It used in adhesives and sealants, cosmetics, foods, paint, paper,

    pharmaceuticals, plastics, rubber, for the production of lime, and as crhused stone in

    construction. Immense quantities of calcium are found in sedimentary rock deposits of

    gypsum, limestone, and shale. Some common calcium-bearing minerals include apatite(calcium phosphate), calcite (calcium carbonate), dolomite (calcium magnesium

    carbonate), fluorite (calcium fluoride), and gypsum (calcium sulfate). Calcium metal is

    produced in Canada, China, France, Russia, and the United States. Total world output is

    thought to be less than 6,000 metric tons per year. United States consumption of calcium

    metal is small. On a worldwide basis, more than 100 million metric tons per year of

    apatite and gypsum are mined, and calcite and dolomite are produced in billions of metric

    tons per year.

    Cement

    Cement is used for building materials, stucco, and mortar. Cement is :a mixture of

    powdered lime, clay, and other minerals that crystallize to form a hard solid when water

    is added (hydraulic cement) or as a binding material in concrete" (Kesler, 1994). An

    excellent overview of cement, its chemistry, and properties can be found in MacLaren

    and White (2003).

    Chromium

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    Chromium is used in the production of stainless and heat-resistant steel, full-alloy

    steel, super alloys and other alloys. Chromium is obtained from the ore mineral Chromite

    (Mg,Fe)(Cr,Al,Fe)2O4

    Clays

    There are many different clay minerals that are used for industrial applications.

    Clays are used in the manufacturing of paper, refractories, rubber, ball clay, dinnerware

    and pottery, floor and wall tile, sanitary wear, fire clay, firebricks, foundry sands, drilling

    mud, iron-ore pelletizing, absorbent and filtering materials, construction materials, and

    cosmetics.

    Cobalt

    Half of the consumption of cobalt is used in corrosion- and abrasion-resistant

    alloys with steel, nickel, and other metals for the production of industrial engines. Other

    uses of cobalt metal include magnets and cutting tools. Cobalt salts are used to produce a

    blue color in paint pigments, porcelain, glass, and pottery. Cobalt is obtained from the ore

    minerals Linneaite (Co3S4), Cobaltite CoAsS, and (Fe,Ni,Co)1-xSx.

    Copper

    Copper is used in electric cables and wires, switches, plumbing; heating, electrical, and

    roofing materials; electronic components; industrial machinery and equipment;

    transportation; consumer and general products; coins; and jewelry.

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    Diamond

    Industrial diamonds are those that can not be used as gems. Large diamonds are

    used in tools and drilling bits to cut rock and small stone. Small diamonds, also known as

    dust or grit, are used for cutting and polishing stone and ceramic products.

    Diatomite

    Diatomite is a rock composed of the skeletons of diatoms, single-celled organisms

    with skeletons made of silica, which are found in fresh and salt water. Diatomite is

    primarily used for filtration of drinks, such as juices and wines, but it is also being used

    as filler in paints and pharmaceuticals and environmental cleanup technologies.

    Dolomite

    Dolomite is the near twin-sister rock to limestone. Like limestone, it typically

    forms in a marine environment but also as has a primary magnesium component.

    Dolomite is used in agriculture, chemical and industrial applications, cement

    construction, refractories, and environmental industries.

    Feldspar

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    Feldspar is a rock-forming mineral. It is used in glass and ceramic industries;

    pottery, porcelain and enamelware; soaps; bond for abrasive wheels; cement; glues;

    fertilizer; and tarred roofing materials and as a sizing, or filler, in textiles and paper

    applications.

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    Fluorite

    Fluorite is used in production of hydrofluoric acid, which is used in the pottery,

    ceramics, optical, electroplating, and plastics industries. It is also used in the

    metallurgical treatment of bauxite, as a flux in open-hearth steel furnaces, and in metal

    smelting, as well as in carbon electrodes, emery wheels, electric arc welders, and

    toothpaste as a source of fluorine.

    Garnet

    Garnet is used in water filtration, electronic components, ceramics, glass, jewelry,

    and abrasives used in wood furniture and transport manufacturing. "Garnet is a common

    metamorphic mineral that becomes abundant enough to mine in a few rocks" (Kesler,

    1994).

    Germanium

    "Most germanium is recovered as a byproduct of zinc smelting. It is also found in

    some copper ores" (Kesler, 1994). Applications include use in fiber-optic components,

    which are replacing copper in long-distance telecommunication lines, as well as in

    camera lenses and other glasses and infrared lenses.

    Gold

    Gold is used in dentistry and medicine, jewelry and arts, medallions and coins,

    and in ingots. It is also used for scientific and electronic instruments, computer circuitry,

    as an electrolyte in the electroplating industry, and in many applications for the aerospace

    industry.

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    GraniteGranite can be cut into large blocks and used as a building stone. When polished,

    it is used for monuments, headstones, countertops, statues, and facing on buildings. It is

    also suitable for railroad ballast and for road aggregate in highway construction.

    GraphiteGraphite is the crystal form of carbon. Graphite is used as a dry lubricant and steel

    hardener and for brake linings and the production of "lead" in pencils. Most graphite

    production comes from Korea, India, and Mexico.

    GypsumProcessed gypsum is used in industrial or building plaster, prefabricated

    wallboard, cement manufacture, and for agriculture.

    Halite

    Halite (salt) is used in the human and animal diet, primarily as food seasoning and

    as a food preservation. It is also used to prepare sodium hydroxide, soda ash, caustic

    soda, hydrochloric acid, chlorine, and metallic sodium, and it is used in ceramic glazes,

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    metallurgy, curing of hides, mineral waters, soap manufacture, home water softeners,

    highway deicing, photography, and scientific equipment for optical parts.

    Iodine

    Iodine is used as an antibacterial agent in soaps and cleaning products in

    restrooms, in iodized salt to prevent goiter, and in first aid boxes as an antiseptic.

    Iron Ore

    Iron ore is used to manufacture steels of various types and other metallurgical products, such as magnets, auto parts, and catalysts. Most U.S. production is from

    Minnesota and Michigan. The Earth's crust contains about 5% iron, the fourth most

    abundant element in the crust.

    Lead

    Lead is used in batteries, construction, ammunition, television tubes, nuclear

    shielding, ceramics, weights, and tubes or containers. The United States is largest

    producer (mainly from Missouri), consumer, and recycler of lead metal.

    Limestone

    "A sedimentary rock consisting largely of the minerals calcite and aragonite,

    which have the same composition CaCO3". Limestone, along with dolomite, is one of the

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    basic building blocks of the construction industry. Limestone is used as aggregate,

    building stone, cement, and lime and in fluxes, glass, refractories, fillers, abrasives, soil

    conditioners, and a host of chemical processes.

    Lithium

    Batteries made from lithium metal or lithium carbonate are used in smoke alarms,

    pacemakers, defibrillator machines, many other types of portable medical equipment, and

    in emergency communications equipment, including computers and cell phones.

    Magnesium

    Magnesium (see dolomite) is used in cement, rubber, paper, insulation, chemicals

    and fertilizers, animal feed, and pharmaceuticals. Magnesium is obtained from the ore

    minerals Olivine (Fe,Mg)2SiO4, Magnesite MgCO3, and Dolomite CaMg(CO3)2.

    Manganese

    Manganese is essential to iron and steel production. Manganese is obtained from

    the ore minerals Braunite (Mn,Si)2O3, Pyrolusite MnO2, and Psilomelane

    BaMn9O18*2H2O.

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    Mercury

    Mercury is extracted from the mineral cinnabar and is used in electrical products,

    electrolytic production of chlorine and caustic soda, paint, and industrial and control

    instruments (thermometers and thermostats).

    Mica

    Mica minerals commonly occur as flakes, scales, or shreds. Sheet muscovite

    (white) mica is used in electronic insulators, paints, as joint cement, as a dusting agent, in

    welldrilling mud and lubricants, and in plastics, roofing, rubber, and welding rods.

    Molybdenum

    Molybdenum is used in stainless steels (21%), tool steels (9%), cast irons (7%),

    and chemical lubricants (8%), and in other applications (55%). It is commonly used to

    make automotive parts, construction equipment, gas transmission pipes, and as a puremetal molybdenum is used as filament supports in light bulbs, metalworking dies, and

    furnace parts because of its high melting temperature (2,623C).

    Nickel

    Nickel is vital as an alloy to stainless steel, and it plays a key roll in the chemicaland aerospace industries. Leading producers are Canada, Norway, and Russia.

    Phosphate rock

    Primarily a sedimentary rock used to produce phosphoric acid and ammoniated

    phosphate fertilizers, feed additives for livestock, elemental phosphorus, and a variety of

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    phosphate chemicals for industrial and home consumers. The majority of U.S. production

    comes from Florida, North Carolina, Idaho, and Utah.

    Platinum Group Metals (PGMs)

    PGM's include platinum, palladium, rhodium, iridium, osmium, and ruthenium.

    These elements commonly occur together in nature and are among the scarcest of the

    metallic elements. Platinum is used principally in catalytic converters for the control of

    automobile and industrial plant emissions; in jewelry; in catalysts to produce acids,

    organic chemicals, and pharmaceuticals; and in dental alloys used for making crowns and

    bridges.

    Potash

    Potash is an industry term that refers to a group of water-soluble salts containing

    the element potassium, as well as to ores containing these salts (Kesler, 1994). Potash is

    used in fertilizer, medicine, the chemical industry, and to produce decorative color effects

    on brass, bronze, and nickel.

    Pyrite

    Pyrite (fools gold) is used in the manufacture of sulfur, sulfuric acid, and sulfur

    dioxide; pellets of pressed pyrite dust are used to recover iron, gold, copper, cobalt, and

    nickel.

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    Quartz

    Quartz crystals are popular as a semiprecious gemstone; crystalline varieties

    include amethyst, citrine, rose quartz, and smoky quartz. Because of its piezoelectric

    properties (the ability to generate electricity under mechanical stress), quartz is used for

    pressure gauges, oscillators, resonators, and wave stabilizers. Quartz is also used in the

    manufacture of glass, paints, abrasives, refractories, and precision instruments.

    Sandstone

    Sandstone is used as a building stone, road bases and coverings, construction fill,

    concrete, railroad ballast, and snow and ice control.

    Silica / Silicon

    Silica is used in the manufacture of computer chips, glass and refractory

    materials, ceramics, abrasives, and water filtration; and is a component of hydraulic

    cements, a filler in cosmetics, pharmaceuticals, paper, and insecticides; as an anti-caking

    agent in foods; a flatting agent in paint, and as a thermal insulator.

    Silver

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    Silver is used in photography, chemistry, electrical and electronic products

    (because of its very high conductivity), fine silverware, electroplated wire, jewelry, coins,

    and brazing alloys and solders.

    Strontium

    Photoluminescent exit signs use a class of newly developed phosphorescent

    pigments that are based on strontium oxide aluminate chemistry.

    Sulfur

    Sulfur is of importance to every sector of the world's manufacturing processes,

    drugs, and fertilizer complexes. Sulfur is used as an industrial raw material through its

    major derivative, sulfuric acid. Sulfuric acid production is the major end use for sulfur.

    Most sulfur goes into fertilizer; oil refining is another major use as well as a source of

    sulfur.

    Talc

    The primary use for talc is in the production of paper. Ground talc is used as filler

    in ceramics, paint, paper, roofing, plastics, cosmetics, and in agriculture. Talc is found in

    many common household products, such as baby (talcum) powder, deodorant, and

    makeup. Very pure talc is used in fine arts and is called soapstone. It is often used to

    carve figurines.

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    Tin

    Tin is used in the manufacture of cans and containers, electrical equipment, and

    chemicals.

    Titanium

    Titanium is a metal used mostly in jet engines, airframes, and space and missile

    applications. In powdered form, titanium is used as a white pigment for paints, paper,

    plastics, rubber, and other materials.

    Trona

    Trona is used in glass container manufacture, fiberglass, specialty glass, flat glass,

    liquid detergents, medicine, food additives, photography, cleaning and boiler compounds,

    and control of water pH. Trona is mined mainly in Wyoming.

    Tungsten

    Tungsten is used in steel production, metalworking, cutting applications,

    construction electrical machinery and equipment, transportation equipment, light bulbs,

    carbide drilling equipment, heat and radiation shielding, textile dyes, enamels, paints, and

    for coloring glass.

    Uranium

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    Uranium is a radioactive material used in nuclear defense systems and for nuclear

    generation of electricity. It also used in nuclear-medicine x-ray machines, atomic dating,

    and electronic instruments.

    Zeolites

    Some of the uses of zeolite minerals include aquaculture (for removing ammonia

    from the water in fish hatcheries), water softener, catalysts, cat litter, odor control, and

    removing radioactive ions from nuclear-plant effluent.

    Zinc

    Zinc is used as protective coating on steel, as die casting, as an alloying metal

    with copper to make brass, and as chemical compounds in rubber and paint. Additional

    uses include galvanizing iron, electroplating, metal spraying, automotive parts, electrical

    fuses, anodes, dry-cell batteries, nutrition, chemicals, roof gutters, cable wrapping, and pennies. Zinc oxide is used in medicine, paints, vulcanizing rubber, and sun-block

    lotions.

    Zirconium

    Zirconium is a metal recovered from zircon. "Zircon is used in mineral form in

    refractory products, where it is valued for its high melting temperature of 2,550C. Some

    zircon is processed by chemical leaching to yield elemental zirconium. The best known

    use for zirconium metal is in nuclear reactors, where zirconium contains the fuel"

    (Kesler, 1994).

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    Ren Descartes

    en DescartesFrench pronunciation: [ne dekat]; (31 March 1596 11 February

    1650) (Latinized form: Renatus Cartesius; adjectival form: "Cartesian")[3] was a French

    philosopher and writer who spent most of his adult life in the Dutch Republic. He has

    been dubbed the 'Father of Modern Philosophy', and much subsequent Western

    philosophy is a response to his writings, which are studied closely to this day. In

    particular, his Meditations on First Philosophy continues to be a standard text at most

    university philosophy departments. Descartes' influence in mathematics is equally

    apparent; the Cartesian coordinate system allowing algebraic equations to be

    expressed as geometric shapes, in a 2D coordinate system was named after him. He is

    credited as the father ofanalytical geometry, the bridge between algebra and geometry,

    crucial to the discovery ofinfinitesimal calculus and analysis. Descartes was also one of

    the key figures in the Scientific Revolution.

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    Descartes frequently sets his views apart from those of his predecessors. In the

    opening section of the Passions of the Soul, a treatise on the Early Modern version of

    what are now commonly called emotions, Descartes goes so far as to assert that he will

    write on this topic "as if no one had written on these matters before". Many elements of

    his philosophy have precedents in late Aristotelianism, the revived Stoicism of the 16th

    century, or in earlier philosophers like St. Augustine. In his natural philosophy, he differs

    from the schools on two major points: First, he rejects the analysis ofcorporeal substance

    into matter and form; second, he rejects any appeal to endsdivine or naturalin

    explaining natural phenomena.[4] In his theology, he insists on the absolute freedom of

    Gods act of creation.

    Descartes was a major figure in 17th-century continental rationalism, lateradvocated by Baruch Spinoza and Gottfried Leibniz, and opposed by the empiricist

    school of thought consisting of Hobbes, Locke, Berkeley, Jean-Jacques Rousseau, and

    Hume. Leibniz, Spinoza and Descartes were all well versed in mathematics as well as

    philosophy, and Descartes and Leibniz contributed greatly to science as well.

    He is perhaps best known for the philosophical statement "Cogito ergo sum"

    (French: Je pense, donc je suis; English: I think, therefore I am; or I am thinking,

    therefore I existorI do think, therefore I do exist), found in part IV ofDiscourse on the

    Method(1637 written in French but with inclusion of "Cogito ergo sum") and 7 of part

    I ofPrinciples of Philosophy (1644 written in Latin).

    Descartes was born in La Haye en Touraine (now Descartes), Indre-et-Loire,

    France. When he was one year old, his mother Jeanne Brochard died. His father Joachim

    was a member in the provincial parliament. At the age of eight, he entered the Jesuit

    Collge Royal Henry-Le-Grand at La Flche.[5] After graduation, he studied at the

    University of Poitiers, earning aBaccalauratandLicence in law in 1616, in accordance

    with his father's wishes that he should become a lawyer.[6]

    "I entirely abandoned the study of letters. Resolving to seek no knowledge other

    than that of which could be found in myself or else in the great book of the world, I spent

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    the rest of my youth traveling, visiting courts and armies, mixing with people of diverse

    temperaments and ranks, gathering various experiences, testing myself in the situations

    which fortune offered me, and at all times reflecting upon whatever came my way so as

    to derive some profit from it." (Descartes,Discourse on the Method).

    In 1618, Descartes was engaged in the army ofMaurice of Nassau in the Dutch

    Republic, but as a truce had been established between Holland and Spain, Descartes used

    his spare time to study mathematics. Because of this he was acquainted to Isaac

    Beeckman, principal of Dordrecht school. Beeckman had proposed a difficult

    mathematical problem, and to his astonishment, it was the young Descartes that found the

    solution. Both men shared the idea that it was necessary to create a method that

    thoroughly linked mathematics and physics.

    [7]

    While in the service of the DukeMaximilian of Bavaria, Descartes was present at the Battle of the White Mountain

    outside Prague, in November 1620.[8]

    On the night of 1011 November 1619, while stationed inNeuburg an der Donau,

    Germany, Descartes experienced a series of three powerful dreams orvisions that he later

    claimed profoundly influenced his life. Descartes concluded from these visions that the

    pursuit of science would prove to be, for him, the pursuit of true wisdom and a central

    part of his life's work.[9]. Descartes also saw very clearly that all truths were linked ones

    to others, so that finding a fundamental truth, and proceeding with logic, would open the

    way to all science. This basic truth, Descartes found quite soon: his famous "I think". [7]

    In 1622 he returned to France, and during the next few years spent time in Paris

    and other parts of Europe. It was during a stay in Paris that he composed his first essay on

    method: Regulae at Directionem Ingenii (Rules for the Direction of the Mind).[7] He

    arrived in La Haye in 1623, selling all of his property to invest in bonds, which provided

    a comfortable income for the rest of his life. Descartes was present at the siege of La

    Rochelle by Cardinal Richelieu in 1627.

    He returned to the Dutch Republic in 1628, where he lived until September 1649.

    In April 1629 he joined the University of Franeker, living at the Sjaerdemaslot, and the

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    next year, under the name "Poitevin", he enrolled at the Leiden University to study

    mathematics with Jacob Golius and astronomy with Martin Hortensius.[10] In October

    1630 he had a falling out with Beeckman, who he accused of plagiarizing some of his

    ideas. In Amsterdam, he had a relationship with a servant girl, Helena Jans van der

    Strom, with whom he had a daughter, Francine, who was born in 1635 in Deventer, at

    which time Descartes taught at the Utrecht University. Francine Descartes died in 1640 in

    Amersfoort, from Scarlet Fever.

    While in the Netherlands he changed his address frequently, living among other

    places in Dordrecht (1628), Franeker (1629), Amsterdam (162930), Leiden (1630),

    Amsterdam (163032), Deventer(163234), Amsterdam (163435), Utrecht (163536),

    Leiden (1636), Egmond (163638), Santpoort (16381640), Leiden (164041),Endegeest (a castle near Oegstgeest) (164143), and finally for an extended time in

    Egmond-Binnen (164349).

    Despite these frequent moves he wrote all his major work during his 20 plus years

    in the Netherlands, where he managed to revolutionize mathematics and philosophy. In

    1633, Galileo was condemned by the Roman Catholic Church, and Descartes abandoned

    plans to publish Treatise on the World, his work of the previous four years. Nevertheless,

    in 1637 he published part of this work in three essays: Les Mtores (The Meteors), La

    Dioptrique (Dioptrics) and La Gomtrie (Geometry), preceded by an introduction, his

    famous Discours de la Mtode (Discourse on the Method). In it Descartes lays out four

    rules of thought, meant to ensure that our knowledge rests upon a firm foundation.

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    Ren Descartes with Queen Christina of Sweden

    Descartes continued to publish works concerning both mathematics and

    philosophy for the rest of his life. In 1641 he published a metaphysics work,

    Meditationes de Prima Philosophia (Meditations on First Philosophy), written in Latin

    and therefore addressed to the learned. It was followed, in 1644, by Principia

    Philosophi (Principles of Philosophy), a kind of synthesis of the Meditations and the

    Discourse. In 1643, Cartesian philosophy was condemned at the University of Utrecht,

    and Descartes began his long correspondence with Princess Elisabeth of Bohemia, mainly

    devoted to moral and psychological subjects. Connected with this correspondence, in

    1649 he publishedLes Passions de l'me (Passions of the Soul), that he dedicated to thePrincess. In 1647, he was awarded a pension by the King of France. Descartes was

    interviewed by Frans Burman at Egmond-Binnen in 1648.

    A French translation of Principia Philosofi, prepared by Abbot Claude Picot,

    was published in 1647. For this edition Descartes made a dedication to Princess Elisabeth

    of Bohemia, and a preface. Descartes used it to make a praise of true philosophy, as a

    means to attain wisdom. He identifies four ordinary sources to reach wisdom, and finally

    says that there is a fifth source, that is better and more secure, consisting in the search for

    first causes.[11]

    Ren Descartes died on 11 February 1650 in Stockholm, Sweden, where he had

    been invited as a tutor for Queen Christina of Sweden. The cause of death was said to be

    pneumonia accustomed to working in bed until noon, he may have suffered a

    detrimental effect on his health due to Christina's demands for early morning study (the

    lack of sleep could have severely compromised his immune system). Descartes stayed at

    the French ambassadorPierre Chanut. In his recent book, Der rtselhafte Tod des Ren

    Descartes (The Mysterious Death of Ren Descartes),[12] the German philosopher

    Theodor Ebert[13] asserts that Descartes died not through natural causes, but from an

    arsenic-laced communion wafer given to him by a Catholic priest. He believes that

    Jacques Viogu, a missionary working in Stockholm, administered the poison because he

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    feared Descartes's radical theological ideas would derail an expected conversion to

    Roman Catholicism by the monarch of Protestant Lutheran Sweden.[14]

    In 1663, the Pope placed his works on the Index of Prohibited Books.

    As a Roman Catholic in a Protestant nation, he was interred in a graveyard mainly

    used for unbaptized infants in Adolf Fredriks kyrka in Stockholm. Later, his remains

    were taken to France and buried in the Abbey of Saint-Germain-des-Prs in Paris.

    Although the National Convention in 1792 had planned to transfer his remains to the

    Panthon, they are, two centuries later, still resting between two other gravesthose of

    the scholarly monks Jean Mabillon and Bernard de Montfauconin a chapel of the

    abbey. His memorial, erected in the 18th century, remains in the Swedish church.

    Mathematical legacy

    Descartes's theory provided the basis for the calculus ofNewton and Leibniz, by

    applying infinitesimal calculus to the tangent line problem, thus permitting the evolution

    of that branch of modern mathematics.[19] This appears even more astounding considering

    that the work was just intended as an example to his Discours de la mthode pour bien

    conduire sa raison, et chercher la verit dans les sciences (Discourse on the Method of

    Rightly Conducting the Reason, and Searching for Truth in the Sciences , better known

    under the shortened titleDiscours de la mthode; English,Discourse on the Method).

    Descartes' rule of signs is also a commonly used method to determine the number

    of positive and negative roots of a polynomial.

    Descartes created analytic geometry, and discovered an early form of the law of

    conservation ofmomentum (the term momentum refers to the momentum of a force). Heoutlined his views on the universe in his Principles of Philosophy.

    Descartes also made contributions to the field of optics. He showed by using

    geometric construction and the law of refraction (also known as Descartes's law or more

    commonly Snell's law, who discovered it 16 years earlier) that the angular radius of a

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    rainbow is 42 degrees (i.e., the angle subtended at the eye by the edge of the rainbow and

    the ray passing from the sun through the rainbow's centre is 42).[20] He also

    independently discovered the law of reflection, and his essay on optics was the first

    published mention of this law.[21]

    One of Descartes most enduring legacies was his development of Cartesian

    geometry, which uses algebra to describe geometry. He "invented the convention of

    representing unknowns in equations by x, y, andz, and knowns by a, b, and c". He also

    "pioneered the standard notation" that uses superscripts to show the powers or exponents,

    for example the 4 used in x4 to indicate squaring of squaring.[22

    http://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-19http://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-19http://en.wikipedia.org/wiki/Law_of_reflectionhttp://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-20http://en.wikipedia.org/wiki/Cartesian_geometryhttp://en.wikipedia.org/wiki/Cartesian_geometryhttp://en.wikipedia.org/wiki/Superscripthttp://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-21http://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-19http://en.wikipedia.org/wiki/Law_of_reflectionhttp://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-20http://en.wikipedia.org/wiki/Cartesian_geometryhttp://en.wikipedia.org/wiki/Cartesian_geometryhttp://en.wikipedia.org/wiki/Superscripthttp://en.wikipedia.org/wiki/Ren%C3%A9_Descartes#cite_note-21