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Even though set theory purports to offer a foundation for all of mathematical practice, it would seem very odd to hear someone say, say, "I work in a narrow branch of set theory called partial differential equations." My question: how would an a set theory expert in 2011 characterize the scope, or purview, or principle principal goals of his or her subject? I have particular interest in aspects of the answer that might differ from what an expert might have said perhaps 20 years ago. |
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The purview or scope of set theory qua set theoryEven though set theory purports to offer a foundation for all of mathematical practice, it would seem very odd to hear someone say, say, "I work in a narrow branch of set theory called partial differential equations." My question: how would an set theory expert in 2011 characterize the scope, or purview, or principle goals of his or her subject? I have particular interest in aspects of the answer that might differ from what an expert might have said perhaps 20 years ago.
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