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What's the connection between the homomorphism theorem in Enderton "A mathematical Intro to Logic" and Lyndon’s Positivity Theorem?

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#logic #first-order-logic #model-theory #philosophy
61
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Proper collections in ZFC

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#soft-question #set-theory #model-theory
67
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Extending the definition of an ultraproduct.

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#first-order-logic #model-theory
166
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How different are types in the single-sorted case of first-order logic vs the many-sorted case?

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#soft-question #first-order-logic #model-theory
330
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Some more examples of atomic formulas

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#logic #first-order-logic #model-theory
158
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$\forall \exists$-sentences and existentially closed model

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#logic #first-order-logic #model-theory #quantifiers
120
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Intuition behind direct product of structures.

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#logic #first-order-logic #model-theory
52
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Examples of $\mathscr{L}$ structure

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#first-order-logic #model-theory
46
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Johnson property

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#model-theory
171
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Examples of a structure that is not closed under taking ultraproducts?

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#model-theory #universal-algebra
85
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Buchi arithmetic meaning

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#logic #model-theory #computational-complexity
81
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Can a clone be defined as a structure in a first order theory?

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#logic #model-theory #universal-algebra
354
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Prove completeness from elimination of quantifiers

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#logic #first-order-logic #model-theory #quantifier-elimination
82
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How are weak direct powers ultrapowers?

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#abstract-algebra #logic #model-theory
127
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Are soundness and completeness a part of proof theory, model theory or something else?

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#logic #first-order-logic #model-theory #proof-theory #metalogic

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