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What is an example of a finite model in first order logic having a unique undefinable element?

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#logic #model-theory
370
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Model Theory-logic

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#logic #model-theory
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Finitely axiomatizable theories

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#logic #model-theory
375
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Logic in the metatheory

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#logic #reference-request #model-theory
628
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Compactness on models with bounded finite size

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#logic #model-theory
459
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Finite Model Property on the First-Order Theory of Two Equivalence Relations

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#logic #model-theory
514
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(Un)Decidability of satisfiable but not finitely-satisfiable formulas

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#logic #model-theory
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Example of an UnDecidable Logical Theory which is an extension of a Logical Decidable Theory?

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#logic #computability #model-theory
452
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Class models in set theory and category theory

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#set-theory #category-theory #model-theory
84
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Comparing symbolic and analog descriptions

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#soft-question #graph-theory #model-theory
237
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does the definition of model depend on a theory or just a signature?

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#logic #definition #model-theory
1.6k
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some problems about axiomatizable classes resulting from compactness

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#logic #model-theory
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A first order sentence such that the finite Spectrum of that sentence is the prime numbers

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#logic #prime-numbers #model-theory #axioms
762
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Relationship between Category theory and Axiomatic set theory

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#set-theory #category-theory #model-theory #axioms
323
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First-order Indistinguishibility of "the continuum"

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#logic #set-theory #model-theory

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