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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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The Notre Dame Lectures - Lecture Notes in Logic, 18 (Paperback, New)
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The Notre Dame Lectures - Lecture Notes in Logic, 18 (Paperback, New)
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In fall 2000, the Notre Dame logic community hosted Greg Hjorth,
Rodney G. Downey, Zoe Chatzidakis, and Paola D'Aquino as visiting
lecturers. Each of them presented a month-long series of expository
lectures at the graduate lecture. The articles in this volume are
refinements of these excellent lectures. Hjorth's article provides
an introduction to current work on Borel and equivalent classes
using countable model theory as the motivating example.
Chatzidakis's article is an introduction to the model theory of
difference fields: a field with a distinguished automorphism.
Results from the model theory of difference fields have been
recently been used by Hrushovski and other model theorist to show
various results in number theory. Downey's contribution provides an
introduction to the recent work by him and many others on the
relationship between randomness and computably enumerable reals.
Paola D'Aquino studies weak models of Peano Arithmetic (in
particular, models where induction is restricted to bounded
formulas) focusing on number theoretic results.
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