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Proving two sets $A, B$ are order isomorphic

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#proof-writing #order-theory #well-orders
325
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Can $\mathbb{C}$ be totally ordered?

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#complex-numbers #real-numbers #order-theory #well-orders
101
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Proof of isomorphism between sum of ordinals

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#set-theory #well-orders
359
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Disparity between Induction and Well-ordering Principles

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#logic #induction #first-order-logic #well-orders #transfinite-induction
91
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Showing that in a well ordered ring homomorphic to $\mathbb{Z}$, there are no elements between zero and the ring's identity.

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#abstract-algebra #ring-theory #well-orders
40
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Specker order-an associated defnition

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#set-theory #order-theory #well-orders
28
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Proof of "For each integer m, the set S = {i ∈ Z : i ≥ m} is well-ordered."

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#elementary-set-theory #proof-explanation #well-orders
232
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Do we need to rigorously prove why a set is non-empty with non-negative integers?

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#proof-writing #well-orders
60
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Disjoint refinement of a countable set of sets

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#infinite-groups #well-orders
665
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Topological definition of Convexity

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#general-topology #convex-analysis #well-orders
141
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Hessenberg power of ordinals (redux)

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#set-theory #exponentiation #order-theory #ordinals #well-orders
33
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$\forall x \in X: (y < x \implies y \in E) \implies x \in E$

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#logic #induction #well-orders
192
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Hausdorff Maximal Principle implies Well-Ordering Theorem

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#elementary-set-theory #order-theory #well-orders
36
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A question on order-isomorphism with $\mathbb N$.

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#examples-counterexamples #problem-solving #order-theory #monotone-functions #well-orders
61
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Why is the Well Ordering Theorem true?

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

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