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Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
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The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal (Hardcover, 2nd ed.)
Loot Price: R7,193
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The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal (Hardcover, 2nd ed.)
Series: De Gruyter Series in Logic & its Applications
Expected to ship within 10 - 15 working days
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The starting point for this monograph is the previously unknown
connection between the Continuum Hypothesis and the saturation of
the non-stationary ideal on 1; and the principle result of this
monograph is the identification of a canonical model in which the
Continuum Hypothesis is false. This is the first example of such a
model and moreover the model can be characterized in terms of
maximality principles concerning the universal-existential theory
of all sets of countable ordinals. This model is arguably the long
sought goal of the study of forcing axioms and iterated forcing but
is obtained by completely different methods, for example no theory
of iterated forcing whatsoever is required. The construction of the
model reveals a powerful technique for obtaining independence
results regarding the combinatorics of the continuum, yielding a
number of results which have yet to be obtained by any other
method. This monograph is directed to researchers and advanced
graduate students in Set Theory. The second edition is updated to
take into account some of the developments in the decade since the
first edition appeared, this includes a revised discussion of
-logic and related matters.
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