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Set Theory

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Ordered Product of Ordered Sets
Ordinal Numbers
Proof That Addition of Ordinal Numbers is Associative
Proof That Changing Order of Union of Sets Changes Ordinal Number
Proof that Every Infinite Set Contains a Countable Subset
Proof That the Order Relation for the Ordinal Numbers is a Partial Order Relation
Proof That The Order Relation is Reflexive and Transitive on the Ordinal Numbers
Proof That the Set of All Ordinal Numbers Does Not Exist
Proof That the Set of Real Numbers is Not Countable
Proof That the Union of a Disjoint Infinite and a Countable Set is Isomorphic to the Infinite Set

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