Abstract
As we have already mentioned there are many problems that the ZFC set theory is not able to decide. In the first third of the 20th century, mathematicians often used the continuum hypothesis CH to solve a problem. The continuum hypothesis CH was used as an additional axiom before its consistency was established. Maybe the mathematicians believed they could prove CH in ZFC. Actually G. Cantor tried to do so. The undecidability of CH was established much later.
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© 2011 Springer Basel AG
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Bukovský, L. (2011). Additional Axioms. In: The Structure of the Real Line. Monografie Matematyczne, vol 71. Springer, Basel. https://doi.org/10.1007/978-3-0348-0006-8_9
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DOI: https://doi.org/10.1007/978-3-0348-0006-8_9
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