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Confusion about Gödel's Completeness Theorem

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#logic #set-theory #first-order-logic #model-theory
109
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Is every function a relation in first-order logic?

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#notation #first-order-logic #relations
91
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How is "choose" used here formally?

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#proof-writing #first-order-logic
119
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Value of the function. (First order set theory foundations ZFC. Interpretation with partial functions.)

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#logic #set-theory #first-order-logic #foundations
81
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Infinite axioms/Group of axioms

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#logic #first-order-logic #axioms
55
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Tarski-Vaught Test with languages without constants

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#first-order-logic #model-theory #quantifiers
76
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How to understand one of the properties of satisfaction of wfs in first-order logic?

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#logic #first-order-logic #satisfiability
76
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How to prove uniqueness with uniqueness quantification? (Uniqueness of the Axiom of Specification)

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#solution-verification #proof-writing #set-theory #first-order-logic
303
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Is 1+1=2 logically equivalent to 99+1=100?

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#logic #propositional-calculus #first-order-logic #predicate-logic #boolean-algebra
147
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Proof that the order of quantifiers doesn't matter (what went wrong)?

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#solution-verification #proof-writing #first-order-logic #predicate-logic #fake-proofs
49
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How to perform induction on the number of connectives and quantifiers in a well-formed formula?

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#logic #first-order-logic #satisfiability
109
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Soundness and completeness of Fitch-style for first order logic

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#logic #first-order-logic #predicate-logic #natural-deduction
43
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Syntax variants for functions and predicates in first-order logic

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#first-order-logic
100
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Some first order sentences for free groups.

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#abstract-algebra #first-order-logic
264
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How do I show if (∀x∃y∀zP(x, y, z)) ⇒ (∃y∀x∀zP(x, y, z)) is a logically valid statement?

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

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