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- W89707527 abstract "During the four decades that have elapsed since Gödel established the relative consistency of the Axiom of Choice and the Generalized Continuum Hypothesis, much mathematical research has focused on the Axiom. These decades are separated into two very different periods by a discovery of the first rank: Paul Cohen’s method of forcing. In 1963 he used this method to prove that both the Axiom of Choice and the Continuum Hypothesis are independent from ZF, thereby complementing Gödel’s results on consistency. During the quarter century prior to 1963, research on the Axiom largely continued the lines of development discussed in Chapter Four, and no conceptual breakthrough occurred. After the discovery of forcing in 1963, set-theoretic investigations concerning the Axiom have taken a distinctly more metamathematical and semantic turn. This brief Epilogue will only attempt to sketch the major themes and developments involving the Axiom since 1940." @default.
- W89707527 created "2016-06-24" @default.
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- W89707527 date "1982-01-01" @default.
- W89707527 modified "2023-09-26" @default.
- W89707527 title "Epilogue: After Gödel" @default.
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- W89707527 doi "https://doi.org/10.1007/978-1-4613-9478-5_6" @default.
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