Introduction to the Real Spectrum
نویسنده
چکیده
About eighteen months ago I was trying to learn a little bit about model theory for a student conference (the 2003 Arizona Winter School) explaining the connections between model theory and arithmetic geometry. There are indeed deep and important connections here, and I was quickly convinced that model theory is an area of mathematics that it is good for everyone to know at least a little bit about, but that is not my point here. Rather, while reading a basic text, they cited as examples of basic algebraic structures: group, ring, module, field, ordered field, . . . , and here I stopped: ordered field?!? Not since the tedious axiomatic description of R in my first undergraduate analysis class had I even encountered the term; what kind of loon would regard an ordered field as an object as basic as the others in the list?
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