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[In autumn 1965 I became one of John Bell’s first students. He and I were both registered at Oxford University to work for MPhil—later upgraded to DPhil—under the supervision of John Crossley (though for reasons I don’t remember, I began as a supervisee of Michael Dummett). John Bell and Alan Slomson (another supervisee of John Crossley) had put together a clear and elegant first course on model theory, concentrating on ultraproducts and the construction of elementary embeddings one element at a time, in the style being pioneered at the time by Chang and Keisler. That course was my introduction to model theory. A fuller version, with some extra material from George Wilmers, became the famous Bell and Slomson: Models and Ultraproducts. It was published two years earlier than the definitive tome of Chang and Keisler, and made a lot of people happy.]
Published: Jan 27, 2011
Keywords: Middle Term; Major Premise; Singular Proposition; Elementary Embedding; Minor Term
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