Abstract
The notion of a Boolean-valued structure is obtained from the definition of an ordinary 2-valued structure by replacing the Boolean algebra 2 of two truth values “truth” and “falsehood” by any complete Boolean algebra B. While some of the basic definitions and theorems can be generalized to the B-valued case almost mechanically the intuitive ideas behind these general notions are more difficult to perceive.
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© 1973 Springer-Verlag New York Inc.
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Takeuti, G., Zaring, W.M. (1973). Boolean-Valued Structures. In: Axiomatic Set Theory. Graduate Texts in Mathematics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-8751-0_7
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DOI: https://doi.org/10.1007/978-1-4684-8751-0_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90050-6
Online ISBN: 978-1-4684-8751-0
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