Foundations of Infinity: Set Theory, Cardinals, Ordinals, and the Continuum Hypothesis
ANT
• Instant access to your digital edition.
• Read anytime, anywhere, on your favorite device.
• No shipping — your book is delivered digitally.
• Simple, secure access after purchase.
Instant digital delivery after purchase.
Discover another great read to add to your digital library.
Description
Reactive Publishing Foundations of Infinity offers a rigorous yet accessible introduction to the mathematical study of infinity through the lens of modern set theory.
Beginning with the axioms of Zermelo–Fraenkel set theory, the text develops the theory of ordinals and cardinals in careful detail. Readers will encounter the construction of the ordinal hierarchy, the arithmetic of infinite cardinals, and the fundamental distinction between countable and uncountable sets. The continuum hypothesis is examined both historically and formally: its formulation, independence from ZFC, and the broader implications of forcing and large-cardinal assumptions are presented with precision and clarity.
Throughout, emphasis is placed on conceptual understanding supported by precise definitions, theorems, and carefully chosen examples. The book is designed for advanced undergraduates, graduate students, and mathematically mature readers seeking a self-contained treatment of the foundations of infinite mathematics.
No prior specialized knowledge of set theory is assumed beyond a solid background in undergraduate mathematics.
Specifications
Frequently asked
Do I need an account to download?
No. After purchase, you can access your ebook directly from the order confirmation or download page.
What if a copy arrives damaged?
Contact us and we’ll help you access the file or provide a replacement download if needed.