Add to ORKGIn this chapter we will explore the notion of cardinality or numerosity from a more theoretical perspective. And our focus here will be on infinite sets: what distinguishes them from finite sets, and what distinguishes them from one another. This is the central topic that initiated the development of Set Theory by the German mathematicians Cantor and Dedekind in the last quarter of the nineteenth century, from 1872 – 1897
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...
In these three chapters I treat a variety of issues that surround the current state of set theory. T...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather ...
This dissertation is a conceptual history of transfinite set theory from the earliest results until ...
This thesis gives an explanation of the basic concepts of set theory, focusing primarily on high sch...
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...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
Abstract. The notions of “labelled set ” and “numerosity ” are introduced to generalize the counting...
Transfinite (ordinal) numbers were a crucial step in the development of Cantor's set theory. The new...
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...
In these three chapters I treat a variety of issues that surround the current state of set theory. T...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather ...
This dissertation is a conceptual history of transfinite set theory from the earliest results until ...
This thesis gives an explanation of the basic concepts of set theory, focusing primarily on high sch...
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...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
Abstract. The notions of “labelled set ” and “numerosity ” are introduced to generalize the counting...
Transfinite (ordinal) numbers were a crucial step in the development of Cantor's set theory. The new...
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...
In these three chapters I treat a variety of issues that surround the current state of set theory. T...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...