Add to ORKGThe purpose of this paper is to present a discussion on the basic fundamentals of the theory of sets. Primarily, the discussion will be confined to the study of cardinal and ordinal numbers. The concepts of sets, classes of sets, and families of sets will be undefined quantities, and the concept of the class of all sets will be avoided
Much (perhaps all) of mathematics is about studying sets of objects with particular properties. Sect...
The generalization of the concept of natural integers by means of sum, subtraction, product and quot...
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
Abstract: This work proposes set-theory in which the concept of a set depends on it's cons...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
Three concepts of ordinal numbers are examined with a view to their intuitiveriess and existence in ...
There are two ways of thinking about the natural numbers: as ordinal numbers or as cardinal numbers....
The Kinds of Mathematical Objects is an exploration of the taxonomy of the mathematical realm and th...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Pobliža objašnjenja pojmova rednih i kardinalnih brojeva i njihove povezanosti s hipotezom kontinuu...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
Much (perhaps all) of mathematics is about studying sets of objects with particular properties. Sect...
The generalization of the concept of natural integers by means of sum, subtraction, product and quot...
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...
Abstract. This paper will present a brief set-theoretic construction of the natural numbers before d...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
Abstract: This work proposes set-theory in which the concept of a set depends on it's cons...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
Three concepts of ordinal numbers are examined with a view to their intuitiveriess and existence in ...
There are two ways of thinking about the natural numbers: as ordinal numbers or as cardinal numbers....
The Kinds of Mathematical Objects is an exploration of the taxonomy of the mathematical realm and th...
The next two chapters deal with Set Theory and some related topics from Discrete Mathematics. This c...
Summary. We present the choice function rule in the beginning of the article. In the main part of th...
at one is isomorphic to an initial segment of the other, and that the wellorderings can be canonical...
Pobliža objašnjenja pojmova rednih i kardinalnih brojeva i njihove povezanosti s hipotezom kontinuu...
In this paper we prove of the continuum hypothesis, by proving that the theory of initial ordinals a...
Much (perhaps all) of mathematics is about studying sets of objects with particular properties. Sect...
The generalization of the concept of natural integers by means of sum, subtraction, product and quot...
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-F...