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How to define a well-order on $\mathbb R$?

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#elementary-set-theory #order-theory #axiom-of-choice #well-orders
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Are all sets partially ordered?

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#elementary-set-theory #order-theory #well-orders
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No well-ordered set is isomorphic to any of its initial segments

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#elementary-set-theory #well-orders
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Proof of Lehman's Lemma with the well ordering principle

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#elementary-number-theory #diophantine-equations #well-orders
98
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Well order on $ℚ$ doubt

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#real-analysis #elementary-set-theory #well-orders
319
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An elementary error in Principia Mathematica?

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#logic #well-orders
78
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Is there a well-ordered uncountable set of real numbers?

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#real-analysis #sequences-and-series #solution-verification #real-numbers #well-orders
140
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We can sort a sequence of values if we have a total order over the elements

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#elementary-set-theory #order-theory #well-orders
345
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Proving that every poset has a maximal well ordered subset

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#elementary-set-theory #well-orders
62
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On $X_1\cup X_2$ define a well-ordered set preserving the order relations defined set on $X_1$ and $X_2$

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#discrete-mathematics #well-orders
19
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Proving the uniqueness of a function $r-s$-order preserver in $A$ and $B$.

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#set-theory #order-theory #well-orders
206
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Every partial order with well ordered chains is well founded is equivalent to the axiom of choice

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#elementary-set-theory #order-theory #axiom-of-choice #well-orders
29
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Prove that $(A_1 \cup A_2, R)$ is a well-ordered poset

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#elementary-set-theory #relations #order-theory #well-orders
177
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Ordinals: is transitivity not implied by well-ordering?

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#definition #ordinals #well-orders
178
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Uniqueness of Cantor normal form using powers of 2 in transfinite Nim

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#elementary-set-theory #set-theory #ordinals #well-orders

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