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Model theory/stability theory

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#logic #set-theory #model-theory
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Is the compactness theorem (from mathematical logic) equivalent to the Axiom of Choice?

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#model-theory #axiom-of-choice #first-order-logic
535
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the amalgamation property

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#model-theory
754
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Questions about the concept of Structure, Model and Formal Language

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#logic #set-theory #model-theory #foundations
306
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Compactness principle via model theory.

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#combinatorics #number-theory #model-theory
2.3k
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Clarifying the definition of an axiomatic system

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#logic #model-theory #proof-theory
943
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How to show the relation $<$ is not definable in $(\Bbb N; 0, \operatorname {S})$ by quantifier elimination?

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#logic #model-theory
362
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Does "=" have to be interpreted as equality?

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#relations #model-theory #proof-theory
487
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Does this logic have the downward Skolem-Löwenheim theorem?

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#logic #model-theory #quantifiers
654
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Online Model Theory Classes

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#reference-request #model-theory #online-resources
311
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Nonstandard structure of Presburger arithmetic

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#model-theory #nonstandard-analysis #presburger-arithmetic
276
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Different kinds of systems

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#logic #model-theory #proof-theory
351
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Show that Total Orders does not have the finite model property

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#logic #order-theory #model-theory
3.4k
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Models vs. Structures

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#logic #terminology #model-theory
159
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Constraint satisfaction problem - Arc consistency

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#logic #algorithms #definition #intuition #model-theory

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