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Godel's Completeness Theorem

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#logic #first-order-logic
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Theorem proved only when assumed provable, Löbs theorem

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#first-order-logic #provability
36
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Which of the following logic statements are true for $mx^{2}+mx+4>0$

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#proof-verification #first-order-logic #quantifiers
173
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Is it necessary to create a chain of languages / Henkin axioms to prove FOL's Completeness?

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#first-order-logic #model-theory
26
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more symbolic logic practice

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#first-order-logic
45
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If a language $\mathcal{L}$ has constants $\{c,d\}$ can an interpretation have that c=d? Or must it keep them as distinct elements?

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#logic #first-order-logic
95
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Is there a contradiction that only contains the logical symbol implication?

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#logic #first-order-logic
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Let P(x), Q(x), and R(x) be the following predicates: P(x):x^2 −7x+10=0 Q(x):x^2 −2x−3=0 R(x) : x < 0

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#discrete-mathematics #logic #first-order-logic #predicate-logic #quantifiers
48
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Geometric intuition of sentences in theories/models?

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#first-order-logic #model-theory
1.2k
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Exists infinitely many as a numerical-quantifier

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#logic #definition #first-order-logic #quantifiers #higher-order-logic
85
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Can there be some provable disjunction $P \vee Q$ in which neither $P$ nor $Q$ can be proved?

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#logic #first-order-logic
53
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Prove whether or not the following inferences hold using a suitable semantic method

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#logic #first-order-logic #predicate-logic
185
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A transitive proper class which satisfies a finite conjunction of axioms in ZF satisfies all the axioms of ZF

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#set-theory #first-order-logic
979
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What are the different types of implication involved in a type theory setting?

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#logic #first-order-logic #homotopy-theory #type-theory
336
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English Sentences to FOL

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#logic #first-order-logic #predicate-logic #logic-translation

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