Defining Infinity

The video explores set theory's approach to infinity, focusing on Zermelo-Fraenkel (ZFC) axioms. It explains ordinals and cardinals, their roles in defining infinite sets, and the concept of cardinality. The video discusses the continuum hypothesis and related paradoxes, highlighting the limitations of ZFC and introducing extensions like NBG. It concludes with resources for further learning on infinity.

What is the continuum hypothesis and its implications in set theory?

How does ZFC handle the idea of a 'bag' containing all cardinals?

Summarize the paradoxes associated with infinity as discussed in the text.

What are the differences between sets and proper classes in NBG?