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What's the relationship between mathematical logic and just plain old "logic"? The notation differs, do the concepts? The rules?

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#logic #proof-writing #predicate-logic #first-order-logic #quantifiers
37
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Short task in model theory / 1.st order logic

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#logic #first-order-logic #model-theory
185
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First order logic - SLD algorithm

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#logic #first-order-logic
3.1k
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How to denote "but not" in symbolic logic form?

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#logic #propositional-calculus #logic-translation
33
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Prenex form with two same variables versus equivalence

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#logic #predicate-logic #first-order-logic
2.7k
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Can Induction be done to prove statements for integers?

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#logic #induction
1.1k
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If union of two theories is not consistent one of them implies a sentence which the other implies opposite of it

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#logic #compactness #propositional-calculus #model-theory
1.3k
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What does it mean for a variable to be free for something?

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#logic #predicate-logic #first-order-logic
85
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Connecting models of Set Theory in Jech's text with Model Theory (pages 161-167)

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#logic #set-theory #model-theory
205
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Having trouble with a translation in first-order logic

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#logic #first-order-logic #logic-translation
66
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does a consistent closed theory in a finite languge, which is not finitely axiomatizable has an infinite model?

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#logic #first-order-logic #model-theory
152
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SLD Resolution and Logic Consequence

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#logic #first-order-logic
157
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Why are local rings a coherent theory?

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#logic #ring-theory #first-order-logic #categorical-logic
162
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two finite models of complete orderings are elementary equivalent

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#logic #first-order-logic #model-theory
586
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Exercises and solutions for natural deduction proofs in Robinson and Peano arithmetic

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#logic #reference-request #axioms #peano-axioms #natural-deduction

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