Abstract
Actually, any of the additional axioms of set theory considered in Chapter 9 is an undecidable statement of set theory. It is known that assuming consistency of ZF (sometimes one needs stronger assumptions), one can show consistency of both theories ZF + “the additional axiom” and ZF + “the negation of the additional axiom”. However, neither of those axioms is a statement formulated by a working mathematician non-specialist in set theory1. In this chapter we present several questions formulated in some mathematical fields related to the structure of the real line which have no answer in ZFC.
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© 2011 Springer Basel AG
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Bukovský, L. (2011). Undecidable Statements. In: The Structure of the Real Line. Monografie Matematyczne, vol 71. Springer, Basel. https://doi.org/10.1007/978-3-0348-0006-8_10
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DOI: https://doi.org/10.1007/978-3-0348-0006-8_10
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0005-1
Online ISBN: 978-3-0348-0006-8
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