Vocabulary
I am the statement following the word "then" in a conditional.
Who is conclusion?
I am TRUE only when both p (hypothesis) and q (conclusion) are TRUE.
or
Who is "and"/"but"
I am the symbol for logical equivalence.
Who is "≡"
Who is "∴"
I am the reason a conditional argument is FALSE.
Who is when p (hypothesis) is TRUE and q (conclusion) is FALSE
I am the statement following the word "if" in a conditional.
Who is hypothesis?
I am true when at least one of p (hypothesis) or q (conclusion) is true.
or
Who is "or"
I am the negation of a conjunction.
~(p^q) ≡ ~p v ~q
I am a faulty argument or a mistake in reasoning.
Who is Fallacy?
I am the due date and time for chapter 2 quizzes and homeworks.
Who is 9/30/25 at 11:59 pm?
I am only applicable if the truth values of the two statements are the same or match each other.
Who is Logical Equivalent?
I am a variation of a conditional statement where I swap the hypothesis and conclusion of the conditional statement.
I am the negation of a disjunction.
~(p v q) ≡ ~p ^ ~q
I am the conclusion of the Law of Detachment.
Who is ∴ 𝑞
or
Who is "Therefore, q"
I am a ___(valid/sound) but not ___(valid/sound) argument when
premise 1: "The sky is raining tacos"
premise 2: "The tacos are falling
Conclusion: "The tacos fell from the sky."
Who is valid but NOT sound argument?
I am an argument when premises match reality/are logically true.
Who is sound argument?
I am a variation of a conditional statement, where I swap AND and negate the hypothesis and conclusion of the conditional statement.
Who is contrapositive?
I am the negation of a conditional statement.
~(p → q) ≡ p ^ ~q
I am also called "Modus Ponens"
Who is Law of Detachment?
I am an argument that tries to draw a general conclusion from specific premises.
I am a statement that CANNOT be FALSE.
Who is Tautology?
I am the disjunction of a conditional.
p → q ≡ ~p v q
I am a law that declares that if the conditional statement is TRUE, then the contrapositive of that conditional statement must also be TRUE.
I am the office hours on Saturday and Sunday.