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Do these 2 mathematical expressions both refer to the same thing?

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Translating an English sentence into predicate logic

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#predicate-logic #logic-translation
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correct negation of an existential quantification sentence?

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#predicate-logic
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Existence of a structure with the same properties as $\mathbb{N}$ and with an infinite element.

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#logic #predicate-logic #first-order-logic #model-theory #nonstandard-models
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Negate a Statement in Contrapositive Form

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#logic #soft-question #predicate-logic
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Negation of universally quantified formula

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#propositional-calculus #predicate-logic
144
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Why does $\exists \ y \ \forall\ x\ Q(x, y) \implies \forall\ x\ \exists\ y\ Q(x, y)$?

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#logic #predicate-logic
394
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Logical Equivalences Involving Quantifiers

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#discrete-mathematics #logic #predicate-logic #quantifiers
269
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Defining addition function through predicate logic

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#predicate-logic
100
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Translating Propositional Functions

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#logic #propositional-calculus #predicate-logic #first-order-logic #quantifiers
32
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$(Q\to R)\wedge (R\to Q)$ converting to sentence

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#discrete-mathematics #predicate-logic
36
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Write two interpretations (models) of this language

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#logic #predicate-logic #formal-languages
576
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Defining first order logic quantifiers without sets

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#logic #set-theory #predicate-logic #first-order-logic #foundations
338
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Model given for a formula

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#logic #predicate-logic
40
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Conservative extension of theory $T =\{c_1\neq c_2 \}$ and $T = \{(\forall x) (x=c_1 \lor x=c_2 ) \}$

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#predicate-logic

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