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Lectures on Infinitary Model Theory (Hardcover)
Loot Price: R2,879
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Lectures on Infinitary Model Theory (Hardcover)
Series: Lecture Notes in Logic
Expected to ship within 12 - 17 working days
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Infinitary logic, the logic of languages with infinitely long
conjunctions, plays an important role in model theory, recursion
theory and descriptive set theory. This book is the first modern
introduction to the subject in forty years, and will bring students
and researchers in all areas of mathematical logic up to the
threshold of modern research. The classical topics of
back-and-forth systems, model existence techniques, indiscernibles
and end extensions are covered before more modern topics are
surveyed. Zilber's categoricity theorem for quasiminimal excellent
classes is proved and an application is given to covers of
multiplicative groups. Infinitary methods are also used to study
uncountable models of counterexamples to Vaught's conjecture, and
effective aspects of infinitary model theory are reviewed,
including an introduction to Montalban's recent work on spectra of
Vaught counterexamples. Self-contained introductions to effective
descriptive set theory and hyperarithmetic theory are provided, as
is an appendix on admissible model theory.
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