It was hailed as a revolutionary mathematics curriculum that prioritized the concept of a set over the concept of a number. 'New math' was introduced to millions of US schoolchildren in the 1960s. Yet ...

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Set theory remains the fulcrum of modern mathematical foundations, providing the language and axiomatic structure upon which much of mathematics is built. Predominantly formulated through the ...

The theory of sets provides a foundation for all of mathematics. We shall discuss, informally, axioms for sets and develop the theory of infinite ordinal and cardinal numbers and their 'arithmetic'.