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Given the domain $S=\{0,1\}$, how to write $\forall x \, \exists y \, P(x, y)$ without quantifiers?

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#propositional-calculus #predicate-logic
58
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What is to do if I have to give one correct Interpretation of a formula F?

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#logic #predicate-logic
600
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Does ∧ still mean intersection when using predicate logic?

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#predicate-logic
168
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how can i use the deduction theorem to show a basic property?

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#discrete-mathematics #logic #predicate-logic
763
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Logic & Negation

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
306
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Proof explanation of invalidity implying a non-tautology

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#proof-explanation #propositional-calculus #first-order-logic #predicate-logic #formal-systems
91
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How can I justify this existential quantifier transformation in predicate logic?

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#predicate-logic
449
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Syntax for complex restrictions on domains of quantifiers

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#predicate-logic
138
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Use formal proof to determine if two translations are equivalent or not

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#logic #predicate-logic
37
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Are they the same formulas?

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#first-order-logic #predicate-logic
983
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Classical logic is the strongest consistent logical system

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#logic #reference-request #propositional-calculus #predicate-logic
161
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Why does the unique existential quantifier seem to allow weird behaviour?

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#logic #predicate-logic #quantifiers
126
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Is this transformation process of a predicate logic formula into Prenex normal form correct?

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#logic #predicate-logic
102
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Expert opinion needed on a Syllogism Problem

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#discrete-mathematics #logic #first-order-logic #predicate-logic
1.1k
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Can I justify removing a universal quantifier in this proof?

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#proof-writing #relations #predicate-logic #quantifiers

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