Webpage for Mathematical Logic

Important Question Types:

  1. Checking validity of First Order Logic Statements
  2. Checking validity of Propositional Logic

Recent questions tagged mathematical-logic

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Consider the following statement:If I get a perfect score on this test, then I am a genius.Decide which of the following is logically equivalent to the statement above.a)...
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Given below are two statements:Statement I: A valid deductive argument that also has all true premises is called a "sound" argument.Statement II: A strong inductive argum...
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Can anyone explain this how this implication is valid with an example∃x (Px ⊕ Qx) < ∃xPx ⊕ ∃xQx
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Is pivot columns and basic variables same thing?? or basic variables are the first elements of non zero rows in echelon matrics??
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Given a group G with a subgroups H and K, and the assumption that |H| = m, |K| = n, where gcd(m, n) = 1, what can we infer?a. H ∩ K = {e}, the identity elementb. H ∪ K = ...
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Given: (p$ \vee$ q) is True. Find the truth value of statements, 1. p is false or q is true. (Can't determine) 2. If p is false then q is true. (True) is my answer correc...
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Prove or disprove (a) ∃x(P(x) ↔ Q(x)) → ¬∀xQ(x) ∨ ∃xP(x).