Add to ORKGOne of the basic results in set theory is that the cardinality of the power set of the natural numbers is the same as the cardinality of the real numbers, which is strictly greater than the cardinality of the naturals. In fact Cantor proved a more general theorem: for any set X, the cardinality of X is strictly les
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
We argue that we solved Hilbert's first problem positively (after reformulating it just to avoid the...
We prove some consistency results about b() and d(), which are natural generalisations of the cardi...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
On the first page of “What is Cantor’s Continuum Problem?”, Gödel argues that Cantor’s theory of car...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
Anumber of conceptually deep and technically hard results were accumulated in Set Theory since the m...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Abstract. We analyze structure theories of the power-set of ω1 and compare them relative to Cantor’s...
This report is devoted to Woodin's recent results.Not only are these results technical breakthr...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
Exponsition of forcing and the independence of the continuum hypothesisThe independence of the conti...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
We argue that we solved Hilbert's first problem positively (after reformulating it just to avoid the...
We prove some consistency results about b() and d(), which are natural generalisations of the cardi...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
On the first page of “What is Cantor’s Continuum Problem?”, Gödel argues that Cantor’s theory of car...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
Anumber of conceptually deep and technically hard results were accumulated in Set Theory since the m...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Abstract. We analyze structure theories of the power-set of ω1 and compare them relative to Cantor’s...
This report is devoted to Woodin's recent results.Not only are these results technical breakthr...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
Exponsition of forcing and the independence of the continuum hypothesisThe independence of the conti...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
We argue that we solved Hilbert's first problem positively (after reformulating it just to avoid the...
We prove some consistency results about b() and d(), which are natural generalisations of the cardi...