Add to ORKGAbstracts. Using Mathematical Induction to resolved the cardinality of an ‘m ’ countable infinite sets relating it to a cardinality of natural ′ℕ ′ and integer numbers ′ℤ′.which is helpful in basic elementary set
(eng) Cardinal arithmetic, which has given birth to set theory,seemed to be until lately either simp...
Suppose in an arithmetic universe we have two predicates φ and ψ for natural numbers, satisfying a b...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
In mathematics, we can describe sets as either finite or infinite. If a set is infinite, we can furt...
Mathematical induction can be informally illustrated by reference to the sequential effect of fall...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
This paper explains the Cardinality of the Power Set of Natural numbers. Set of Natural numbers is c...
A natural extension of Cantor's hierarchic arithmetic of cardinals is proposed. These cardinals have...
Abstract. The notions of “labelled set ” and “numerosity ” are introduced to generalize the counting...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
In this chapter we will explore the notion of cardinality or numerosity from a more theoretical pers...
(eng) Cardinal arithmetic, which has given birth to set theory,seemed to be until lately either simp...
Suppose in an arithmetic universe we have two predicates φ and ψ for natural numbers, satisfying a b...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
In mathematics, we can describe sets as either finite or infinite. If a set is infinite, we can furt...
Mathematical induction can be informally illustrated by reference to the sequential effect of fall...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
This paper explains the Cardinality of the Power Set of Natural numbers. Set of Natural numbers is c...
A natural extension of Cantor's hierarchic arithmetic of cardinals is proposed. These cardinals have...
Abstract. The notions of “labelled set ” and “numerosity ” are introduced to generalize the counting...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
In this chapter we will explore the notion of cardinality or numerosity from a more theoretical pers...
(eng) Cardinal arithmetic, which has given birth to set theory,seemed to be until lately either simp...
Suppose in an arithmetic universe we have two predicates φ and ψ for natural numbers, satisfying a b...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...