Classical Set Theory: Theory of Sets and Classes
Taras Banakh
TL;DR
This paper provides an introductory course on Set Theory based on NBG axioms, suitable for advanced students studying mathematical foundations, covering essential concepts needed for understanding the foundations of mathematics.
Contribution
It offers a concise, educational overview of NBG set theory tailored for postgraduate students and educators in mathematical foundations.
Findings
Clear presentation of NBG axioms and concepts
Suitable as a foundational textbook for advanced students
Provides essential knowledge for understanding mathematical foundations
Abstract
This is a short introductory course to Set Theory, based on axioms of von Neumann--Bernays--G\"odel (briefly NBG). The text can be used as a base for a lecture course in Foundations of Mathematics, and contains a reasonable minimum which a good (post-graduate) student in Mathematics should know about foundations of this science.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Computability, Logic, AI Algorithms · Advanced Algebra and Logic