The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.
The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.
The book is the first part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the monograph, a classification of countable models of complete theories with respect to two basic characteristics (Rudin–Keisler preorders and distribution functions for numbers of limit models) is presented and applied to the most important classes of countable theories such as the class of Ehrenfeucht theories (i. e., complete first-order theories with finitely many but more than one pairwise non-isomorphic countable models), the class of small theories (i. e., complete first-order theories with countably many types), and the class of countable first-order theories with continuum many types. For realizations of basic characteristics of countable complete theories, syntactic generic constructions, generalizing the Jonsson–Fraïssé construction and the Hrushovski construction, are presented. Using these constructions a solution of the Goncharov–Millar problem (on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous) is described. Modifying the Hrushovski–Herwig generic construction, a solution of the Lachlan problem on the existence of stable Ehrenfeucht theories is shown. In the first part, a characterization of Ehrenfeuchtness, properties of Ehrenfeucht theories, generic constructions, and algebras for distributions of binary semi-isolating formulas of a complete theory are considered.The book is intended for specialists interested in Mathematical Logic.
A study of nuclear warfare’s key role in triggering the post-World War II confrontation between the US and the USSR After a devastating world war, culminating in the obliteration of Hiroshima and Nagasaki, it was clear that the United States and the Soviet Union had to establish a cooperative order if the planet was to escape an atomic World War III. In this provocative study, Campbell Craig and Sergey Radchenko show how the atomic bomb pushed the United States and the Soviet Union not toward cooperation but toward deep bipolar confrontation. Joseph Stalin, sure that the Americans meant to deploy their new weapon against Russia and defeat socialism, would stop at nothing to build his own bomb. Harry Truman, initially willing to consider cooperation, discovered that its pursuit would mean political suicide, especially when news of Soviet atomic spies reached the public. Both superpowers, moreover, discerned a new reality of the atomic age: now, cooperation must be total. The dangers posed by the bomb meant that intermediate measures of international cooperation would protect no one. Yet no two nations in history were less prepared to pursue total cooperation than were the United States and the Soviet Union. The logic of the bomb pointed them toward immediate Cold War. “Sprightly and well-argued…. The complicated history of how the bomb influenced the start of the war has never been explored so well."—Lloyd Gardner, Rutgers University “An outstanding new interpretation of the origins of the Cold War that gives equal weight to American and Soviet perspectives on the conflict that shaped the contemporary world.”—Geoffrey Roberts, author of Stalin’s Wars
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