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why is the solution to $x^2 = 3$ the same as $x = \pm \sqrt 3$

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#logic #polynomials
100
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Show that Skolemization preserves satisfiability

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#logic #computer-science #first-order-logic #predicate-logic #model-theory
797
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Semantic deduction theorem in first order logic for sentences

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#logic
526
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Empty set, subsets, and vacuous truths

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#elementary-set-theory #logic #definition #predicate-logic
66
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How to know how many models of certain size does a given theory has?

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#logic #first-order-logic #model-theory
2.7k
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Set theoretic concepts in first order logic

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#logic #first-order-logic #foundations #philosophy
836
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Problem of quantifiers and predicate.

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#discrete-mathematics #logic #predicate-logic #quantifiers
142
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Fill the blank to make a true identity

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#elementary-set-theory #logic #propositional-calculus
1.1k
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Use predicate logic to express the statement "No one has more than three cousins"

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#logic #logic-translation
1.2k
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Symbolize the following sentences with the given symbolization key

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#logic #predicate-logic #quantifiers #logic-translation
207
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What "real numbers" (elements in $\mathbb R$), are people referring to?

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#real-analysis #logic #definition
259
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Is forall and exists predicates?

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#elementary-set-theory #logic #notation #definition #predicate-logic
124
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Propositional Logic - Truth tables - with formulas and given truth values

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#logic #propositional-calculus
86
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Deduction of $\vdash \exists x (Px \rightarrow \forall y Py)$

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#logic #first-order-logic #formal-proofs
258
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Why $(P \wedge ¬P) ⇒ Q$ means we can prove anything?

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#logic

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