Set Theory — The Language of Modern Mathematics

Set theory provides a common foundation on which the rest of mathematics is built. Virtually every modern mathematical structure can be encoded using sets.

What's Inside

• Naive set theory — membership, subsets, operations.
• Relations and functions.
• Cardinality — countable and uncountable infinities.
• Ordinal and cardinal numbers.
• The ZFC axioms and the axiom of choice.