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Expressing the differential equation characterization of $\sin(x)$ in first-order logic

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#logic #first-order-logic #model-theory #predicate-logic
107
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Doubt in predicate calculus equivalence: $\forall x P(x) \rightarrow Q ≡ \exists x (P(x) \rightarrow Q))$

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#logic #predicate-logic
37
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Capturing the "antonym phrase" concept in Formal Logic

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#logic #predicate-logic
50
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Is this first-order proof valid? $(\forall x Qx \rightarrow P)\leftrightarrow\exists x (Qx \rightarrow P)$

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#solution-verification #proof-writing #first-order-logic #predicate-logic
123
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Why can we make a recursive definition?

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229
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$\forall x(P(x) \rightarrow Q(x))$ and $(\exists xP(x) \rightarrow \forall yQ(y))$ having different truth values

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#logic #predicate-logic #quantifiers
67
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Why does switching the quantifiers make the statement false?

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#logic #predicate-logic #quantifiers
115
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Can negations be arbitrarily added to both sides of an equation?

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#logic #predicate-logic
26
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Proof using resolution refutation

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#first-order-logic #predicate-logic
108
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The converse of Euclid lemma : counter example?

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#predicate-logic
154
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Two arguments with the same form, one valid, one not

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#discrete-mathematics #logic #predicate-logic #logic-translation
49
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A question on identity in quantified modal logic

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#logic #predicate-logic #modal-logic
226
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The definition of proposition and the principle of the excluded third

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#logic #terminology #definition #propositional-calculus #predicate-logic
89
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Finding the relationship (equivalence or implication) between two expressions

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#discrete-mathematics #logic #predicate-logic #logic-translation
81
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Universal generalization and the Deduction theorem

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#logic #first-order-logic #model-theory #predicate-logic

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