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Problems teaching introductory logic. Is this a statement? "If x is an integer, then..."

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#logic #first-order-logic #predicate-logic #quantifiers
142
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Why is $∧$ used in the right-hand side of $¬(∀x, P(x) → (Q(x) ∧ R(x))) ≡ ∃x, P(x) ∧ (¬Q(x) ∨ ¬R(x))$?

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#logic #propositional-calculus #predicate-logic #quantifiers
210
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Quantifying a free variable in an example from "How To Prove It" by Velleman

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#logic #proof-explanation #first-order-logic #predicate-logic #quantifiers
106
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Is $\lnot\forall x(Px \lor Qx) \equiv \lnot(\forall x(Px \lor Qx))?$

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#predicate-logic #quantifiers
104
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What does the existential quantifier imply about the variable it comes before?

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#predicate-logic #quantifiers
51
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How does negating work in quantified statements

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#discrete-mathematics #logic #quantifiers
658
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"Exactly Two" - Are these statements logically equivalent?

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#discrete-mathematics #quantifiers
149
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Quantificational formatting and going from using logic with words, to using it for math proofs

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#logic #proof-writing #predicate-logic #quantifiers #quantifier-elimination
327
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Two formulas with different free variables not semantically equivalent

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#logic #first-order-logic #quantifiers
296
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"Many" quantifier in first order logic

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
264
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How do you interpret statements that can be either true or false at different times, on a truth table?

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#logic #proof-writing #first-order-logic #predicate-logic #quantifiers
247
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Discrete math contrapositive statment of universal statement

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#discrete-mathematics #logic #predicate-logic #quantifiers
513
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What is "the quantifier axioms of L" and why are they true in all L-structures?

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#logic #first-order-logic #predicate-logic #quantifiers #axioms
139
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What Quantifier is Used When Assuming P(n) for some n, in the Induction Hypothesis?

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#induction #quantifiers
136
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Necessity of universal quantifier in predicate calculus

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

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