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Variable subtitution in FOL formula with nested and outer quantifiers

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#first-order-logic #quantifiers
590
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Is this simple class theory equi-interpretable with ZFC?

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#first-order-logic #alternative-set-theories
85
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every relation in a special structure $M$ which is first-order definable with parameters has cardinality $< \omega$ or $= |M|$.

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#first-order-logic #model-theory
480
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Statements vs Formulas

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#logic #terminology #first-order-logic
381
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Natural Deduction: Universal Introduction rule concerning free variables in Van Dalen's "Logic and Structure"

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#logic #first-order-logic #predicate-logic #proof-theory #natural-deduction
58
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Is this theory of arithmetic with a last natural that is not reachable from below complete?

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#arithmetic #first-order-logic
106
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Can this simple form of double extension set theory escape inconsistency?

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#first-order-logic #alternative-set-theories
493
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Logical Axioms and Rules of Inference

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#logic #first-order-logic
120
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Existentially closed models of bowtie-free graphs

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#logic #first-order-logic #model-theory #quantifiers
204
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Definitions of exists unique

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#logic #definition #first-order-logic
41
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On rewriting the statement into predicate logic.

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#first-order-logic #predicate-logic
229
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How to write an implication whose antecedent quantifies a variable in its consequent?

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#logic #first-order-logic #quantifiers #logic-translation
169
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Derivative proof involving MVT and Rolle's Theorem

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#real-analysis #calculus #functions #derivatives #first-order-logic
210
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Proof that Peano Axioms is a theory with equality (according to Mendelson book)

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#first-order-logic #peano-axioms
29
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FOL-Interpretation of a tableaux

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#first-order-logic

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