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Abstract vs Natural model - which one do I choose?

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#predicate-logic #model-theory
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Course-of-values induction, according to Kleene IM (1952)

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#logic #predicate-logic #natural-deduction #formal-proofs #meta-math
15
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In logic, negation, existentiality and universality of a variable

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#logic #predicate-logic
57
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A small question concerning the correctness of induction

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#induction #set-theory #propositional-calculus #predicate-logic #natural-numbers
29
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Each person is working in some department

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#logic #predicate-logic
65
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Clarifying then negating a sentence

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#logic #predicate-logic #quantifiers #logic-translation
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Does there exist a universal formula of first-order logic that is satisfiable only by structures with infinite domains?

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#logic #first-order-logic #predicate-logic #model-theory
185
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Which one is correct? Don’t we do as necessary as rigorous math?

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#logic #predicate-logic #logic-translation
43
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Conditional Operator Question

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#logic #predicate-logic #quantifiers
32
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Is $y+1$ substitutable for x in the following expression?

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#first-order-logic #predicate-logic
196
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Logical Equivalence for Quantified Statement

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#logic #predicate-logic #quantifiers
146
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Replace function symbols with predicate symbols in predicate logic

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#logic #predicate-logic #model-theory
407
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How can I know when to negate quantifiers when taking the contrapositive of a statement?

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#propositional-calculus #predicate-logic #quantifiers
524
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Expressing "For every positive integer $a$, there exists an integer $b$ with $|b| < a$ such that $|bx| < a$ for every real number $x$" symbolically

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#propositional-calculus #predicate-logic #quantifiers
95
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How to use correctly an universal quantifier

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#logic #predicate-logic

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