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Definability in $\Bbb N$ + $\Bbb Z$

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#logic #order-theory
297
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Are there results for relations between upward and downward closed partitions of some powerset?

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#elementary-set-theory #reference-request #order-theory #lattice-orders
1.5k
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Infinite Trees, Infinite Branches, And Choice

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#set-theory #order-theory
46
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Ordered ring and mutiplicative ordinal

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#order-theory #ordered-groups #ordered-rings
63
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Binary relation defined by order isomorphism?

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#order-theory
193
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Lexicographic ordering on ${\cal P}(\kappa)$

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#order-theory
161
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Name for a "layered" type of partial order?

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#terminology #order-theory
3.1k
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Prove that $R$ is a total order

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#order-theory
321
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Hausdorff Maximal Principle

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#set-theory #order-theory #axiom-of-choice
527
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Is the equivalence of the ascending chain condition and the maximum condition equivalent to the axiom of dependent choice?

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#set-theory #order-theory #axiom-of-choice
418
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$ord(f(a)) \leqslant ord(a) $ for every a in G

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#group-theory #order-theory
837
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Is a directed set countable, if for each element there are only finitely many smaller ones?

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#elementary-set-theory #order-theory
371
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How do I prove that every chain has an upper bound?

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#order-theory #lattice-orders
214
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(Partial/total/well-) order vs ordering

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#terminology #order-theory
167
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Get well-order from total order by choosing finite subsets

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#set-theory #order-theory

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