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Prove $a^2 = b^2$ implies that $|a| = |b|$

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#real-analysis #predicate-logic #solution-verification
281
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Conceptual difference between logical equivalency in the context of propositional logic and logical entailment in the context of predicate logic

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#logic #propositional-calculus #predicate-logic
277
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What is a notation in FOL for saying that a formula is true in an interpretation M just for some particular elements from an infinite domain?

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#logic #first-order-logic #predicate-logic
468
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If a theory is incomplete, does that mean there is a formula which is undecidable in that theory?

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#logic #first-order-logic #predicate-logic
162
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Alternative Definition of Formal Limit

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#calculus #logic #definition #predicate-logic
42
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Given that $\forall xQ(x)$ is true, is $\exists xQ(x)$ also true?

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#predicate-logic
179
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first-order logic sentence for graph

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#logic #graph-theory #first-order-logic #predicate-logic
65
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Which of the following predicate logic statements is not valid?

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#first-order-logic #predicate-logic
21
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AND, OR operators inside implications

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#predicate-logic
49
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Quantified Logic Symbolisation

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#logic #predicate-logic #quantifiers
79
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show that a formula belongs to theory of strict linear order

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#logic #first-order-logic #predicate-logic #model-theory
59
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Imply implies equivalence

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#first-order-logic #predicate-logic
97
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can well ordered principle express in predicate logic or propositional logic

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#logic #propositional-calculus #predicate-logic
96
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Doubt about the definition of "complete theory"

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#logic #propositional-calculus #first-order-logic #predicate-logic
591
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Does consistency imply completeness?

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#logic #propositional-calculus #first-order-logic #predicate-logic

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