Isomorphisms of models. (in logic).

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The discussion focuses on the isomorphisms of five mathematical models defined in a logical framework: A=, B=, C=, D=, and E=. It concludes that models A and B are isomorphic, as well as models C and D, with no other isomorphisms identified. The integer set Z and the rational set Q are specified as the foundational sets for these models.

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Logicians, mathematicians, and students studying model theory or mathematical logic will benefit from this discussion, particularly those interested in the relationships between different mathematical structures.

MathematicalPhysicist
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suppose our language contains one unary syombol function.
we are given the next 5 models:
A=<Z,x+1> B=<Z,x-1> C=<Q,-x> D=<Z,-x> E=<Q,x^2>
write which of the models are isomorphic to each other.
where Z is the integer set, and Q is the ratioanls set.

my answer is that: A isomorphic to B, and C isomorphic to D, and these are the only isomorphisms.
 
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I don't understand your question, but I am curious.
Could you explain it, or could you give me a link where I could find the basic definitions to understand you questions.

Thanks,

Michel
 

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