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18.996A Simplicity Theory (MIT) 18.996A Simplicity Theory (MIT)

Description

This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in the framework of compact abstract theories, which is more general than that of first order theories. We cover the basic properties of independence (i.e., non-dividing) in simple theories, the characterization of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases. This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in the framework of compact abstract theories, which is more general than that of first order theories. We cover the basic properties of independence (i.e., non-dividing) in simple theories, the characterization of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases.

Subjects

universal domains | universal domains | compact abstract theories | compact abstract theories | indiscernibility | indiscernibility | indiscernible sequences | indiscernible sequences | dividing | dividing | simplicity | simplicity | independence | independence | Lascar strong types | Lascar strong types | independence theorem | independence theorem | hyperimaginaries | hyperimaginaries | canonical bases | canonical bases | supersimplicity | supersimplicity | Lascar inequalities | Lascar inequalities | stability | stability | stable theories | stable theories | generic automorphism | generic automorphism | type-definable groups | type-definable groups | lovely pairs | lovely pairs

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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Bernard Andersen, arrested for indecent behaviour Bernard Andersen, arrested for indecent behaviour

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Subjects

portrait | portrait | man | man | blur | blur | male | male | eye | eye | wall | wall | scarf | scarf | mouth | mouth | hair | hair | nose | nose | person | person | interesting | interesting | scary | scary | hand | hand | adult | adult | arm | arm | unitedkingdom | unitedkingdom | mark | mark | finger | finger | coat | coat | chest | chest | leg | leg | grain | grain | surreal | surreal | swedish | swedish | moustache | moustache | criminal | criminal | fabric | fabric | crime | crime | cap | cap | button | button | mugshot | mugshot | trousers | trousers | facialhair | facialhair | unusual | unusual | pocket | pocket | shoulder | shoulder | seated | seated | policestation | policestation | crease | crease | punishment | punishment | attentive | attentive | arrested | arrested | prisoner | prisoner | digitalimage | digitalimage | swede | swede | northshields | northshields | indecency | indecency | imprisoned | imprisoned | behaviour | behaviour | conduct | conduct | prisontime | prisontime | convicted | convicted | northtyneside | northtyneside | socialhistory | socialhistory | blackframe | blackframe | blackandwhitephotograph | blackandwhitephotograph | northeastofengland | northeastofengland | neutralbackground | neutralbackground | indecentconduct | indecentconduct | newspaperreport | newspaperreport | northshieldspolicecourt | northshieldspolicecourt | criminalfacesofnorthshieldsthemen | criminalfacesofnorthshieldsthemen | 19021916 | 19021916 | theshieldsdailynews | theshieldsdailynews | bernardandersen | bernardandersen | 15november1905 | 15november1905

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Patrick Liljebald, ship's steward, arrested for breaking and entering Patrick Liljebald, ship's steward, arrested for breaking and entering

Description

Subjects

selfportrait | selfportrait | man | man | blur | blur | male | male | men | men | history | history | face | face | hat | hat | scarf | scarf | interesting | interesting | scary | scary | mark | mark | coat | coat | gothenburg | gothenburg | grain | grain | property | property | swedish | swedish | historic | historic | moustache | moustache | criminal | criminal | crime | crime | cap | cap | ear | ear | button | button | mugshot | mugshot | jumper | jumper | shopwindow | shopwindow | facialhair | facialhair | unusual | unusual | cloth | cloth | pocket | pocket | cigarettes | cigarettes | theft | theft | policestation | policestation | crease | crease | punishment | punishment | tobacco | tobacco | attentive | attentive | arrested | arrested | stealing | stealing | prisoner | prisoner | fascinating | fascinating | digitalimage | digitalimage | swede | swede | larceny | larceny | sentenced | sentenced | witnesses | witnesses | northshields | northshields | imprisoned | imprisoned | prisontime | prisontime | hardlabour | hardlabour | northtyneside | northtyneside | socialhistory | socialhistory | breakingandentering | breakingandentering | blackframe | blackframe | courtcase | courtcase | blackandwhitephotograph | blackandwhitephotograph | seafaringmen | seafaringmen | criminalrecord | criminalrecord | publicrecords | publicrecords | accomplices | accomplices | unionquay | unionquay | neutralbackground | neutralbackground | newspaperreport | newspaperreport | northshieldspolicecourt | northshieldspolicecourt | criminalfacesofnorthshieldsthemen | criminalfacesofnorthshieldsthemen | 19021916 | 19021916 | northshieldspolicestation | northshieldspolicestation | theshieldsdailynews | theshieldsdailynews | shipssteward | shipssteward | patrickliljebald | patrickliljebald | messrsehsmithandco | messrsehsmithandco | 5december1907 | 5december1907

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Ilustração 17 julho 1927 - Festas da Semana dos Hospitais. Lisboa, Portugal Ilustração 17 julho 1927 - Festas da Semana dos Hospitais. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | presidente | presidente | óscarcarmona | óscarcarmona | óscar | óscar | carmona | carmona | governo | governo | república | república | desfile | desfile | bombeiros | bombeiros | lisboa | lisboa | portugal | portugal

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Ilustração Maio de 1928. Lisboa, Portugal Ilustração Maio de 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | comemoração | comemoração | proclamaçãopresidencial | proclamaçãopresidencial | proclamação | proclamação | presidencial | presidencial | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | lisboa | lisboa | portugal | portugal

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Ilustração Maio de 1928. Lisboa, Portugal Ilustração Maio de 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | proclamaçãopresidencial | proclamaçãopresidencial | proclamação | proclamação | presidencial | presidencial | assembleiadarepublica | assembleiadarepublica | assembleia | assembleia | republica | republica | presidente | presidente | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | lisboa | lisboa | portugal | portugal

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Ilustração Maio de 1928. Lisboa, Portugal Ilustração Maio de 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | proclamação | proclamação | presidencial | presidencial | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | lisboa | lisboa | portugal | portugal

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Ilustração Maio de 1928. Lisboa, Portugal Ilustração Maio de 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | paradamilitar | paradamilitar | parada | parada | militar | militar | proclamação | proclamação | presidencial | presidencial | ‎antónioóscardefragosocarmona | ‎antónioóscardefragosocarmona | ‎antónio | ‎antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | lisboa | lisboa | lisbon | lisbon | portugal | portugal

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Ilustração 16 de Fevereiro. Lisboa, Portugal Ilustração 16 de Fevereiro. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | general | general | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | exposição | exposição | lealdacâmara | lealdacâmara | leal | leal | câmara | câmara | lisboa | lisboa | portugal | portugal

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Ilustração 1 de Novembro. Lisboa, Portugal Ilustração 1 de Novembro. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | torredeespada | torredeespada | governadorcivildelisboa | governadorcivildelisboa | governador | governador | civil | civil | lisboa | lisboa | major | major | aviador | aviador | joãoluísdemoura | joãoluísdemoura | joão | joão | luís | luís | moura | moura | presidentedarepública | presidentedarepública | presidente | presidente | república | república | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | portugal | portugal

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Revista Ilustração - Novembro 1928. Lisboa, Portugal Revista Ilustração - Novembro 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | ilustração | ilustração | 1928 | 1928 | salãodeoutonodaelegânciafemininaeartesdecorativas | salãodeoutonodaelegânciafemininaeartesdecorativas | salão | salão | outono | outono | elegância | elegância | feminina | feminina | artesdecorativas | artesdecorativas | artes | artes | paláciodasociedadenacionaldebelasartes | paláciodasociedadenacionaldebelasartes | palácio | palácio | sociedade | sociedade | naciona | naciona | belasartes | belasartes | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | stand | stand | companhiadostelefones | companhiadostelefones | companhia | companhia | telefones | telefones | lisboa | lisboa | portugal | portugal

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Revista Ilustração - Agosto 1928. Lisboa, Portugal Revista Ilustração - Agosto 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | revista | revista | ilustração | ilustração | viagem | viagem | cascais | cascais | junkers | junkers | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | família | família | ministrodocomércio | ministrodocomércio | ministro | ministro | comércio | comércio | lisboa | lisboa | portugal | portugal

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Revista Ilustração - Agosto 1928. Lisboa, Portugal Revista Ilustração - Agosto 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | revista | revista | ilustração | ilustração | 1928 | 1928 | viagem | viagem | lisboa | lisboa | cascais | cascais | junkers | junkers | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | família | família | ministrodocomércio | ministrodocomércio | ministro | ministro | comércio | comércio | portugal | portugal

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Revista Ilustração - Agosto 1928. Lisboa, Portugal Revista Ilustração - Agosto 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | revista | revista | ilustração | ilustração | 1928 | 1928 | viagem | viagem | lisboa | lisboa | cascais | cascais | junkers | junkers | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | família | família | ministrodocomércio | ministrodocomércio | ministro | ministro | comércio | comércio | portugal | portugal

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Revista Ilustração - Dezembro 1928. Lisboa, Portugal Revista Ilustração - Dezembro 1928. Lisboa, Portugal

Description

Subjects

fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | márionovais | márionovais | mário | mário | novais | novais | revista | revista | ilustração | ilustração | 1928 | 1928 | cumprimentos | cumprimentos | presidentedarepública | presidentedarepública | presidente | presidente | república | república | antónioóscardefragosocarmona | antónioóscardefragosocarmona | antónio | antónio | óscar | óscar | fragoso | fragoso | carmona | carmona | esquadrafrancesa | esquadrafrancesa | esquadra | esquadra | francesa | francesa | tejo | tejo | lisboa | lisboa | portugal | portugal

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Helen Hayes (LOC) Helen Hayes (LOC)

Description

Subjects

libraryofcongress | libraryofcongress | helenhayes | helenhayes | helenhayesmacarthur | helenhayesmacarthur | actresses | actresses | actors | actors | firstladyofamericantheatre | firstladyofamericantheatre | emmyawards | emmyawards | emmyawardwinners | emmyawardwinners | oscarawards | oscarawards | oscarawardwinners | oscarawardwinners | academyawards | academyawards | academyawardwinner | academyawardwinner | academyawardbestactress | academyawardbestactress | bestactress | bestactress | tonyawards | tonyawards | presidentialmedaloffreedomawards | presidentialmedaloffreedomawards | nationalmedalofartsawards | nationalmedalofartsawards | egotwinners | egotwinners | hollywoodwalkoffamestars | hollywoodwalkoffamestars | americantheatrehalloffame | americantheatrehalloffame | helenhayesawards | helenhayesawards | helenhayestheatre | helenhayestheatre

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24.09 Minds and Machines (MIT) 24.09 Minds and Machines (MIT)

Description

This course is an introduction to many of the central issues in a branch of philosophy called philosophy of mind. Some of the questions we will discuss include the following. Can computers think? Is the mind an immaterial thing? Or is the mind the brain? Or does the mind stand to the brain as a computer program stands to the hardware? How can creatures like ourselves think thoughts that are "about" things? (For example, we can all think that Aristotle is a philosopher, and in that sense think "about" Aristotle, but what is the explanation of this quite remarkable ability?) Can I know whether your experiences and my experiences when we look at raspberries, fire trucks and stop lights are the same? Can consciousness be given a scientific explanation? This course is an introduction to many of the central issues in a branch of philosophy called philosophy of mind. Some of the questions we will discuss include the following. Can computers think? Is the mind an immaterial thing? Or is the mind the brain? Or does the mind stand to the brain as a computer program stands to the hardware? How can creatures like ourselves think thoughts that are "about" things? (For example, we can all think that Aristotle is a philosopher, and in that sense think "about" Aristotle, but what is the explanation of this quite remarkable ability?) Can I know whether your experiences and my experiences when we look at raspberries, fire trucks and stop lights are the same? Can consciousness be given a scientific explanation?

Subjects

Searle; AI | Searle; AI | dualism | dualism | behaviorism | behaviorism | identity theory | identity theory | functionalism | functionalism | intentionality | intentionality | externalism | externalism | self-knowledge | self-knowledge | knowledge argument | knowledge argument | chalmer | chalmer | panprotopsychism | panprotopsychism | mysterianism | mysterianism | conciousness | conciousness | rene descartes | rene descartes | mind | mind | brain | brain | causal theory | causal theory | pain | pain | relief | relief | meaning | meaning | individualism | individualism | qualia | qualia | mind-body problem | mind-body problem

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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SP.2H3 Ancient Philosophy and Mathematics (MIT) SP.2H3 Ancient Philosophy and Mathematics (MIT)

Description

Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two disciplines was continuously acknowledged throughout antiquity. In this course, we read works of ancient Greek philosophy and mathematics, and investigate the way in which ideas of definition, reason, argument and proof, rationality and irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inquiry. Western philosophy and theoretical mathematics were born together, and the cross-fertilization of ideas in the two disciplines was continuously acknowledged throughout antiquity. In this course, we read works of ancient Greek philosophy and mathematics, and investigate the way in which ideas of definition, reason, argument and proof, rationality and irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inquiry.

Subjects

mathematics | mathematics | geometry | geometry | history | history | philosophy | philosophy | Greek philosophy | Greek philosophy | Plato | Plato | Euclid | Euclid | Aristotle | Aristotle | Rene Descartes | Rene Descartes | Nicomachus | Nicomachus | Francis Bacon | Francis Bacon

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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21G.059 Paradigms of European Thought and Culture (MIT) 21G.059 Paradigms of European Thought and Culture (MIT)

Description

This subject surveys the main currents of European cultural and intellectual history in the modern period. Such a foundation course is central to the humanities in Europe (Geistesgeschichte, histoire des idées). The curriculum introduces a set of ideas and arguments that have played a formative role in European cultural history, and acquaints them with some exemplars of critical thought. With each text, special consideration will be devoted to the work's enduring influence over contemporary European culture. This subject surveys the main currents of European cultural and intellectual history in the modern period. Such a foundation course is central to the humanities in Europe (Geistesgeschichte, histoire des idées). The curriculum introduces a set of ideas and arguments that have played a formative role in European cultural history, and acquaints them with some exemplars of critical thought. With each text, special consideration will be devoted to the work's enduring influence over contemporary European culture.

Subjects

Paradigms | Paradigms | European | European | Thought | Thought | Culture | Culture | History | History | Protestant Reformation | Protestant Reformation | French Revolution | French Revolution | Luther | Luther | Descartes | Descartes | Kant | Kant | Hegel | Hegel | Rousseau | Rousseau | Smith | Smith | Marx | Marx | Freud | Freud | Goya | Goya | David | David | Duchamp | Duchamp | Schinkel | Schinkel | Bach | Bach | Goethe | Goethe | Political Theory | Political Theory | Philosophy | Philosophy

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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s Food Come From - and What will be the Consequences?

Description

The St Anne's Gaudy Seminar explores the topic of food security, focusing in particular on sustainability, supply and demand, and aid and trade. How will science, ecology and consumers have an impact on how food is produced and distributed? Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Subjects

food security | sustainability | food | trade | society | genetic modification | ecology | scarcity | aid | agriculture | food security | sustainability | food | trade | society | genetic modification | ecology | scarcity | aid | agriculture | 2013-09-22

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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s Food Come From - and What will be the Consequences?

Description

The St Anne's Gaudy Seminar explores the topic of food security, focusing in particular on sustainability, supply and demand, and aid and trade. How will science, ecology and consumers have an impact on how food is produced and distributed? Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Subjects

food security | sustainability | food | trade | society | genetic modification | ecology | scarcity | aid | agriculture | food security | sustainability | food | trade | society | genetic modification | ecology | scarcity | aid | agriculture | 2013-09-22

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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s rights-claiming around the drafting of a new constitution in Turkey

Description

Part of the Legal Reform and Political Change Affecting Women in the MENA Region conference: Politicizing Women and Women's Issues by Burcu Ozcelik (University of Cambridge):. Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Subjects

Turkey | gender | secularism | legal reform | women | middle east | law | headscarf | islam | Turkey | gender | secularism | legal reform | women | middle east | law | headscarf | islam

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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2.782J Design of Medical Devices and Implants (MIT) 2.782J Design of Medical Devices and Implants (MIT)

Description

This design course targets the solution of clinical problems by use of implants and other medical devices. Topics include the systematic use of cell-matrix control volumes; the role of stress analysis in the design process; anatomic fit, shape and size of implants; selection of biomaterials; instrumentation for surgical implantation procedures; preclinical testing for safety and efficacy, including risk/benefit ratio assessment evaluation of clinical performance and design of clinical trials. Student project materials are drawn from orthopedic devices, soft tissue implants, artificial organs, and dental implants. This design course targets the solution of clinical problems by use of implants and other medical devices. Topics include the systematic use of cell-matrix control volumes; the role of stress analysis in the design process; anatomic fit, shape and size of implants; selection of biomaterials; instrumentation for surgical implantation procedures; preclinical testing for safety and efficacy, including risk/benefit ratio assessment evaluation of clinical performance and design of clinical trials. Student project materials are drawn from orthopedic devices, soft tissue implants, artificial organs, and dental implants.

Subjects

2.782 | 2.782 | 3.961 | 3.961 | 20.451 | 20.451 | HST.524 | HST.524 | clinical problems | clinical problems | implants | implants | medical devices | medical devices | cell-matrix control volumes | cell-matrix control volumes | stress analysis | stress analysis | anatomic fit | anatomic fit | biomaterials | biomaterials | surgical implantation procedures | surgical implantation procedures | Preclinical testing | Preclinical testing | risk/benefit ratio assessment | risk/benefit ratio assessment | clinical performance | clinical performance | clinical trials | clinical trials | orthopedic devices | orthopedic devices | soft tissue implants | soft tissue implants | artificial organs | artificial organs | dental implants | dental implants | stent | stent | prosthesis | prosthesis | scaffold | scaffold | bio-implant | bio-implant | scar | scar | genetics | genetics | skin | skin | nerve | nerve | bone | bone | tooth | tooth | joint | joint | FDA | FDA | FDA approval | FDA approval | cartilage | cartilage | ACL | ACL | health | health | regulation | regulation | healthcare | healthcare | medicine | medicine | bioengineering | bioengineering

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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6.055J The Art of Approximation in Science and Engineering (MIT) 6.055J The Art of Approximation in Science and Engineering (MIT)

Description

This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world. This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.

Subjects

approximation | approximation | science | science | engineering | engineering | managing complexity | managing complexity | divide and conquer | divide and conquer | heterogeneous hierarchies | heterogeneous hierarchies | homogeneous hierarchies | homogeneous hierarchies | proportional reasoning | proportional reasoning | conservation/box models | conservation/box models | dimensional analysis | dimensional analysis | special cases | special cases | extreme cases | extreme cases | discretization | discretization | spring models | spring models | symmetry | symmetry | invariance | invariance | discarding information | discarding information | oil imports | oil imports | tree representations | tree representations | gold | gold | random walks | random walks | UNIX | UNIX | triangle bisection | triangle bisection | pentagonal heat flow | pentagonal heat flow | jump heights | jump heights | simple calculus | simple calculus | drag | drag | cycling | cycling | swimming | swimming | flying | flying | flight | flight | algebraic symmetry | algebraic symmetry | densities | densities | hydrogen size | hydrogen size | bending of light | bending of light | Buckingham Pi Theorem | Buckingham Pi Theorem | pulley acceleration | pulley acceleration | waves | waves

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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11.S196 Global Freshwater Crisis (MIT) 11.S196 Global Freshwater Crisis (MIT)

Description

For the first time in history, the global demand for freshwater is overtaking its supply in many parts of the world. The U.N. predicts that by 2025, more than half of the countries in the world will be experiencing water stress or outright shortages. Lack of water can cause disease, food shortages, starvation, migrations, political conflict, and even lead to war. Models of cooperation, both historic and contemporary, show the way forward. The first half of the course details the multiple facets of the water crisis. Topics include water systems, water transfers, dams, pollution, climate change, scarcity, water conflict/cooperation, food security, and agriculture. The second half of the course describes innovative solutions: Adaptive technologies and adaptation through policy, planning, mana For the first time in history, the global demand for freshwater is overtaking its supply in many parts of the world. The U.N. predicts that by 2025, more than half of the countries in the world will be experiencing water stress or outright shortages. Lack of water can cause disease, food shortages, starvation, migrations, political conflict, and even lead to war. Models of cooperation, both historic and contemporary, show the way forward. The first half of the course details the multiple facets of the water crisis. Topics include water systems, water transfers, dams, pollution, climate change, scarcity, water conflict/cooperation, food security, and agriculture. The second half of the course describes innovative solutions: Adaptive technologies and adaptation through policy, planning, mana

Subjects

Freshwater | Freshwater | water shortage | water shortage | water systems | water systems | water transfers | water transfers | dams | dams | pollution | pollution | climate change | climate change | scarcity | scarcity | water conflict/cooperation | water conflict/cooperation | food security | food security | agriculture | agriculture

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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