query: Why is p ∧ q ⇒ r true when p is true and q is false?
positive_passages.docid: 15504
positive_passages.text: In classical logic, why is $(p\Rightarrow q)$ True if $p$ is False and $q$ is True?
negative_passages.docid: 48606
negative_passages.text: Help with a Predicate Logic homework proof
negative_passages.docid: 122015
negative_passages.text: "This statement is false" - Propositional Logic
negative_passages.docid: 137494
negative_passages.text: Why is "If ψ ∈ Γ then the sequent (Γ ⊢ ψ) is correct" true?
negative_passages.docid: 34768
negative_passages.text: Proving $(p \oplus q) \oplus r=p \oplus (q \oplus r)$
negative_passages.docid: 43655
negative_passages.text: Verify is tautology by using logical equivalence
negative_passages.docid: 38958
negative_passages.text: How do "and" and "or" act with non-boolean values?
negative_passages.docid: 102081
negative_passages.text: What is the difference between : and true?
negative_passages.docid: 10598
negative_passages.text: Contrapositive Fitch Proof
negative_passages.docid: 106092
negative_passages.text: Can mathematical definitions of the form "P if Q" be interpreted as "P if and only if Q"?
negative_passages.docid: 113957
negative_passages.text: Why is it possible to conclude everything from a false statement?
negative_passages.docid: 111763
negative_passages.text: True or False $A - C = B - C $ if and only if $A \cup C = B \cup C$
negative_passages.docid: 46939
negative_passages.text: Natural deduction, Proof $\vdash$ $P\Rightarrow(Q\Rightarrow P)$
negative_passages.docid: 129652
negative_passages.text: Meaning of "strong" and "weak" (formulas?) in propositional logic
negative_passages.docid: 129185
negative_passages.text: Understanding the truth value for ⇏ when antecedent is false and consequent is true.
negative_passages.docid: 13012
negative_passages.text: Why can a = b imply 2 = 1?
negative_passages.docid: 73231
negative_passages.text: Why in implication, if premise is false then implication is true?