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Why is $\mathbb{Z}$ not a well-ordered set?

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#elementary-set-theory #relations #well-orders
175
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limit ordinal well-founded

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#ordinals #well-orders
561
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Order Type of $[\omega_\alpha]^{<\omega}$ in Well-Ordering of Finite Sequences of Ordinals

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#set-theory #cardinals #ordinals #well-orders
388
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Axiom of choice and the well ordering principle

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#set-theory #axiom-of-choice #ordinals #well-orders
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Well ordering on the ordinal numbers

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#set-theory #ordinals #well-orders
574
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Intuitive approach to cofinality

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#set-theory #ordinals #well-orders
356
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Is there a constructive well-ordering on the set of finite rooted trees?

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#order-theory #proof-theory #constructive-mathematics #well-orders
142
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bigger well order of a set of well orders

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#order-theory #well-orders
180
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Prove that all integers can be represented as powers of 2 multiplied by an odd number

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#elementary-number-theory #proof-explanation #well-orders
720
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Well-founded ordering on natural numbers

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#order-theory #well-orders
614
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Is an infinite Cartesian product of well ordered sets well ordered?

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#logic #order-theory #foundations #well-orders
285
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Sharkovskii Theorem and well-ordering

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#real-analysis #well-orders
142
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Proving double inequalities using well-ordering property

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#proof-explanation #well-orders
63
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Linking robot motion rules to a derived variable for a state-machine -> to prove termination

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#well-orders
602
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Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?

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#elementary-set-theory #well-orders

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