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Proof of well-ordering property

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#general-topology #integers #well-orders
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how to prove the well-ordering principle using the principle of complete mathematical induction

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#elementary-set-theory #induction #well-orders
168
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Role of Well-Ordering Principle in proving every subgroup of $\mathbb{Z}$ is of the form $n\mathbb{Z}$

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#group-theory #well-orders
66
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Is Induction applicable only to well-ordered sets that are not bounded above?

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#induction #well-orders #transfinite-induction
93
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Application of the Well-Ordering Principle

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#elementary-number-theory #well-orders
97
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Equinumerous well ordered sets are isomorphic

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#elementary-set-theory #order-theory #well-orders
1.2k
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How can a set be uncountable but well-ordered?

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#set-theory #well-orders
213
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well ordering principle and ordered field

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#real-analysis #ordered-fields #well-orders
150
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Can you turn a well-founded relation into a well-quasi-ordering?

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#soft-question #relations #order-theory #well-orders
127
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Initial segment of $\mathbb{Z}$ not determined by an element

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#elementary-set-theory #well-orders
410
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Proving the set of non-increasing finite sequences of natural numbers is well-ordered

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#set-theory #well-orders
4.8k
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The difference between well order and total order?

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#order-theory #well-orders
2.1k
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lexicographic ordering is not a well ordering

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#well-orders
213
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Well ordering on the quotient of well ordered sets

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#set-theory #order-theory #well-orders
139
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Well-founded part of integer numbers

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#relations #well-orders

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