Abstract
The method of forcing starts from a multirelation R and a natural number n and defines the properties of a certain n-ary relation S, known as a general relation, on the base |R|. The relation S is in a sense “in general position” relative to R. For example, if R is the chain of natural numbers and n = 1, the unary general relation S is + for infinitely many numbers and — for infinitely many numbers; S is + for infinitely many even numbers and — for infinitely many even numbers, and so on. Perfected by Paul Cohen in 1963, forcing was the main tool in his proof of the independence of the axiom of choice and the generalized continuum hypothesis.
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© 1974 D. Reidel Publishing Company, Dordrecht, Holland
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Fraïssé, R. (1974). Forcing. In: Course of Mathematical Logic. Synthese Library, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2097-8_8
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DOI: https://doi.org/10.1007/978-94-010-2097-8_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-0510-5
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