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Systems of arithmetic models

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#logic #first-order-logic #model-theory #peano-axioms #presburger-arithmetic
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Proving one compactness theorem from the other

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#logic #proof-writing #compactness #propositional-calculus #first-order-logic
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How to symbolize this "only" statement in first-order logic?

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#logic #first-order-logic #predicate-logic
417
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4.15 - Exercise - Mathematical Logic - Ebbinghaus

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#logic #first-order-logic
277
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Some questions about the properties of equality

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#proof-writing #first-order-logic #formal-proofs
163
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The Spectrum of a $\Sigma_2$-sentence

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#logic #first-order-logic #model-theory
440
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Convert a FOL formula into CNF

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#logic #first-order-logic
471
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Why is the rule of substitution of functions an axiom?

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#proof-writing #first-order-logic #axioms
381
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What's the intuition behind using Law of Excluded Middle in Natural Deduction?

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#proof-verification #logic #first-order-logic #natural-deduction
67
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Should $\to$-elimination always have precedence over $\lnot$-elimination when transforming formulas to Prenex CNF?

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#logic #first-order-logic #predicate-logic #quantifiers #automated-theorem-proving
62
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Problem with transforming a formula to Prenex CNF

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#logic #first-order-logic #automated-theorem-proving
106
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Does Godel's completeness theorem stands for formulas which are not sentences?

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#logic #first-order-logic
112
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Rules of Ehrenfeucht - Fraisse games

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#first-order-logic #model-theory
492
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Is it possible to have two models $M$, $N$ and for each one an elementary embedding to the other one, but $M$, $N$ are not isomorphic?

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#logic #first-order-logic #model-theory
291
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How to write the below paragraph in First Order Logic and Convert them into Conjunctive Normal Form

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#logic #first-order-logic #artificial-intelligence

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