Main Page > BS Mathematics (Self-Supporting) (After 2 Years ADP Mathematics) > MATH-401 Set Theory
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MATH-401 Set Theory
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Cardinality Equivalent sets, finite and infinite sets Denumerable sets Countable and uncountable sets Cardinal numbers, addition and multiplication of cardinals, Cartesian product as sets of functions Different types of infinity (Cantor’s contribution) Ordinality Partially ordered sets, Hasse diagrams Totally ordered sets Maximal and minimal elements Upper and lower bound Well-ordered sets Transfinite induction Ordinal numbers Multiplication of ordinal numbers Axiom of Choice Well ordering theorem Zorn’s lemma Paradoxes in Set Theory Cantor’s paradox, Russell’s paradox and others. |
| Credit hours/ Marks:- 3 |
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