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One of the theorems is called well-ordered theorm: .a For any set A ,we have |A|<|P(A)| .b If S is ordered-isomorphic to T, then |S|=|T| .c Every set can be well-ordered. .d Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element.

One of the theorems is called well-ordered theorm: .a For any set A ,we have |A|<|P(A)| .b If S is ordered-isomorphic to T, then |S|=|T| .c Every set can be well-ordered. .d Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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السؤال 26 One of the theorems is called well-ordered theorm: .a For any set A ,we have |A|<|P(A)| .b If S is ordered-isomorphic to T, then |S|=|T| .C Every set can be well-ordered. .d Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element.
Transcribed Image Text:السؤال 26 One of the theorems is called well-ordered theorm: .a For any set A ,we have |A|<|P(A)| .b If S is ordered-isomorphic to T, then |S|=|T| .C Every set can be well-ordered. .d Let X be anonempty partially ordered set in which every ordered subset has an upper bound in X. Then X contains at least one maximal element.
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