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How to prove an extension of ZFC is conservative

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#set-theory #model-theory #relations #transfinite-recursion
193
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Validity of a second-order formula

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#logic #model-theory
2.1k
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Intersection of Algebraic Topology/Geometry and Model Theory/Set Theory

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#algebraic-geometry #set-theory #algebraic-topology #model-theory
8.5k
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Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$

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#elementary-set-theory #order-theory #model-theory
3.7k
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Non-standard models of arithmetic for Dummies

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#arithmetic #model-theory
1k
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Non-standard models of arithmetic for Dummies (2)

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#set-theory #model-theory
570
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$\omega$-saturation of $(\mathbb{R},<)$

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#logic #set-theory #model-theory
1.2k
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Boolean algebras without atoms

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#logic #set-theory #model-theory #boolean-algebra
1.3k
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FO-definability of the integers in (Q, +, <)

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#logic #model-theory
348
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Are there any strongly axiomatizable logics that are not compact?

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#logic #model-theory #meta-math
1k
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Non-axiomatisability and ultraproducts

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#logic #model-theory
612
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**symbol** of a mapping vs. mapping itself /understand the definition of "structure"

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#logic #model-theory
1.2k
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logic question: enumerating propositions

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#logic #model-theory
182
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Find a first order sentence in $\mathcal{L}=\{0,+\}$ which is satisfied by exactly one of $\mathbb{Z}\oplus \mathbb{Z}$ and $\mathbb{Z}$

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#logic #model-theory
116
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Idea for a proof involving an identity of term functions on $\sigma$-structures [x]

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#logic #model-theory #universal-algebra

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