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FOL and Gödel's Incompleteness Theorem 1

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#logic #arithmetic #first-order-logic #predicate-logic #incompleteness
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Examples of undefinable predicates in continuous logic

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#logic #first-order-logic #predicate-logic
502
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What's the difference between predicate logic and model theory?

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#logic #first-order-logic #predicate-logic #model-theory #philosophy
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Express each of these sentences in terms of Q(x, y), quantifiers, and logical connectives

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#logic #predicate-logic #quantifiers #logic-translation
116
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Logical equivalence of $\forall x \ P(x) \lor \forall x \ Q(x) $ and $\forall x \ \forall y \ (P(x) \lor Q(y) )$.

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#logic #predicate-logic
118
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How to evaluate truth value of quantified formula?

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#logic #predicate-logic
171
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How to prove universally-quantified formula is true by contraposition?

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#logic #predicate-logic #logic-translation
105
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Confused about truth in standard models vs non-standard models

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#logic #predicate-logic #model-theory
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Show that {∃x(F x & Gx),∀x(Gx → ∼H x)} ⊢ ∃x(x = x & (F x & ∼H x)).

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#logic #first-order-logic #predicate-logic
90
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Predicate Logic - Some Days are not Rainy

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#logic #predicate-logic
54
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Is the statement $(∀x ∈ Q)(∃y ∈ \Bbb Q)(x \cdot y ∈ \Bbb Z)$ true?

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#discrete-mathematics #predicate-logic
42
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First order logic formulae

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#logic #predicate-logic #quantifiers
502
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Axiom schemas vs second order axioms: which first-order predicates "exist"?

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#logic #first-order-logic #predicate-logic #axioms #second-order-logic
346
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How can I prove transitivity of < in Peano Arithmetic

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#logic #first-order-logic #predicate-logic #peano-axioms
673
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Show that a set has no Herbrand model

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

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