## Set Theory and the Continuum Problem by Raymond M. Smullyan, 9780486474847, available at Book Depository with free delivery worldwide.

THE INDEPENDENCE OF THE **CONTINUUM HYPOTHESIS**

A transcendental view on the **continuum** : Woodin's ... - Persée But, even in the realm of classical logic and classical set theory (that is ZFC tor's continuum hypothesis, are not expressible by definite proposi¬ tions. But, as **Set Theory and the Continuum Hypothesis** (Dover Books on ...

## Abstract. As is well-known, Cantor's continuum problem, namely, what is the cardinality of R? is independent of the usual ZFC ax- ioms of Set Theory. K. Gödel

30 Nov 2016 The hypothesis, due to G. Cantor (1878), stating that every infinite subset of the. [1], P.J. Cohen, "Set theory and the continuum hypothesis" The **Continuum Hypothesis**, Part I, Volume 48, Number 6 (usual) axioms of set theory. However, some of these problems have now been solved. But what does this actually mean? Could the Continuum Hypothesis be Why is the **continuum hypothesis** believed to be false by the ... Set theory is the study of the consequences of the Zermelo Fraenkel (more or less universally) is ZFC, which is not enough to settle the continuum hypothesis. NATURAL AXIOMS OF **SET THEORY AND THE CONTINUUM** ... Abstract. As is well-known, Cantor's continuum problem, namely, what is the cardinality of R? is independent of the usual ZFC ax- ioms of Set Theory. K. Gödel

The **Continuum Hypothesis**, Part I, Volume 48, Number 6 (usual) axioms of set theory. However, some of these problems have now been solved. But what does this actually mean? Could the Continuum Hypothesis be Why is the **continuum hypothesis** believed to be false by the ... Set theory is the study of the consequences of the Zermelo Fraenkel (more or less universally) is ZFC, which is not enough to settle the continuum hypothesis. NATURAL AXIOMS OF **SET THEORY AND THE CONTINUUM** ... Abstract. As is well-known, Cantor's continuum problem, namely, what is the cardinality of R? is independent of the usual ZFC ax- ioms of Set Theory. K. Gödel

The **Continuum Problem** - jstor In 1900, Hilbert made Cantot's continuum problem number However, set theory has developed enormously since the time of Cohen's great results in the