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Is $\exists x(x=a)$ a valid formula in first order logic with equality?

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#logic #terminology #first-order-logic #predicate-logic #model-theory
213
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Determining $\forall x \exists y \varphi (x,y) \to \forall y \exists x \varphi (x,y)$ is valid

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#discrete-mathematics #logic #first-order-logic #predicate-logic #model-theory
260
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Is this a valid use of Skolemization?

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#proof-writing #proof-explanation #predicate-logic #fake-proofs
108
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Proving and disproving First Order Logic statements in $\mathbb{N}$.

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#logic #first-order-logic #predicate-logic #quantifiers #natural-deduction
52
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Showing that the operation on the category of Relations is associative?

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#category-theory #predicate-logic
663
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How to obtain the empty clause from CNF?

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#logic #first-order-logic #predicate-logic #satisfiability #conjunctive-normal-form
56
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How to write a particular definition of irreducible numbers using quantifier notation.

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#logic #predicate-logic #quantifiers
687
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Database of FOL statements and proofs

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#logic #first-order-logic #predicate-logic #reference-works
162
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Logic justification for the use of "Let $y = ...$" in Existential proof.

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#logic #proof-explanation #predicate-logic #quantifiers #natural-deduction
125
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Are $\forall(a,b) \in{A \times{B}}$ and $\forall a\in{A},\forall b\in{B}$ logically equivalent?

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#logic #propositional-calculus #first-order-logic #predicate-logic
1k
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Sum of any two prime numbers except the prime number 2 is even.

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#discrete-mathematics #logic #propositional-calculus #predicate-logic
100
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What can be deduced about $x$ in the following statement?

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#discrete-mathematics #logic #propositional-calculus #predicate-logic
48
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Is every painting like by someone who didnt paint it, or, does someone like all paintings he or she did not paint?

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#logic #predicate-logic #quantifiers
206
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How to transform a mathematical statement to its logical notation?

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#discrete-mathematics #logic #first-order-logic #predicate-logic #logic-translation
71
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Prenex Normal Form properties Inquiry

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#first-order-logic #predicate-logic

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