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How show $ S \models \forall x ( \alpha \Leftrightarrow \beta)$?

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#logic #predicate-logic #first-order-logic
176
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If there are Predicates before Predicate Calculus, why is it called such?

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#relations #propositional-calculus #predicate-logic
133
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Rewrite predicate formulas in propositional calculus

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#logic #propositional-calculus #predicate-logic
125
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Bound Variable and Free Variable, A Questions and one Example?

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#logic #predicate-logic #first-order-logic
77
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Discrete Structures: Trying Correcting my Predicate Logic with the appropriate quantifiers

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#discrete-mathematics #proof-verification #predicate-logic #quantifiers
172
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Validity of a first-order formula

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#logic #predicate-logic #first-order-logic
169
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Does "Everyone loves all kittens" imply "Everyone loves a kitten"?

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#predicate-logic #quantifiers
666
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Hilbert–Bernays provability conditions

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#logic #set-theory #predicate-logic #provability
708
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Can First Order Logic identify that two variables are the same object?

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#predicate-logic #first-order-logic #quantifiers
77
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Help in proving a tautology

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#logic #predicate-logic
282
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If $a=b$ then $a+c=b+c$?

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#elementary-set-theory #reference-request #terminology #predicate-logic #axioms
219
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What sequent does this derivation prove?

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#logic #predicate-logic #natural-deduction
58
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If $Q(c) \iff \Sigma \vdash \phi[c]$, is $\lnot Q(c) \iff \Sigma \not\vdash \phi[c]$?

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#logic #predicate-logic
54
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Find a logical predicate for some given conditions

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#predicate-logic #quantifiers
247
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Can I define a predicate over a set and use it in the definition of another one?

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#predicate-logic

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