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Set Theory

Set theory is a crucial theory that forms the foundation of modern mathematics, where undergraduate students first encounter the true abstraction of mathematics. The purpose of studying set theory is not to learn new concepts but to rigorously reconstruct vague concepts into precise and solid forms. Even if it seems useless at first, do not be complacent and study carefully.

Elementary Logic

Propositions

Indirect Proof Methods

Sets and Axioms

Sets

Axiomatic Systems

Relations and Functions

Ordered Pairs

Partitions

Mappings

Cardinality

Infinity

Continuum Hypothesis

References

  • 이흥천 역, You-Feng Lin. (2011). 집합론(Set Theory: An Intuitive Approach)

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