AbstractDistributing the elements of N1 within a unit interval, intuitive arguments are given to justify the Continuum Hypothesis, suggesting that it should be accepted
AbstractWe explore a few topics in continuum theory from their roots. Specifically, we examine the e...
Cantor’s continuum problem is simply the question: How many points are there on a straight line in E...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
The independence of the continuum hypothesis is a result of broad impact: it settles a basic questio...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
In a recent article, Christopher Ormell argues against the traditional mathematical view that the re...
One of the basic results in set theory is that the cardinality of the power set of the natural numbe...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
• Measurement numbers on a two-way infinite straight line • Relative to: an origin, a unit of length...
AbstractIn this paper we consider whether L(R) has “enough information” to contain a counterexample ...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
The mathematical continuum has a number of formulations and technical definitions. Two of these refe...
AbstractWe explore a few topics in continuum theory from their roots. Specifically, we examine the e...
Cantor’s continuum problem is simply the question: How many points are there on a straight line in E...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
The independence of the continuum hypothesis is a result of broad impact: it settles a basic questio...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
In a recent article, Christopher Ormell argues against the traditional mathematical view that the re...
One of the basic results in set theory is that the cardinality of the power set of the natural numbe...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
• Measurement numbers on a two-way infinite straight line • Relative to: an origin, a unit of length...
AbstractIn this paper we consider whether L(R) has “enough information” to contain a counterexample ...
A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinali...
The mathematical continuum has a number of formulations and technical definitions. Two of these refe...
AbstractWe explore a few topics in continuum theory from their roots. Specifically, we examine the e...
Cantor’s continuum problem is simply the question: How many points are there on a straight line in E...
AbstractAfter defining the Axiom of Monotonicity, it is used along with Zermelo-Fraenkel set theory ...
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