Title: logic laws
Course: quiz duplicate error

Q: Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write invalid.

(1) She is a girl.
(2) Her name is Chris.
(3) Chris is a girls name.
- invalid (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
- yes; Law of Syllogism (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
- yes; Law of Detachment (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
A: invalid

Q: Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write invalid.

(1) You are in ninth grade.
(2) People who are in ninth grade floss their teeth regularly.
(3) You floss your teeth regularly.
- yes; Law of Syllogism (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
- invalid (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
- yes; Law of Detachment (The Law of Syllogism states, “If [Image] and [Image] are true, then [Image] is also true.” The Law of Detachment states, “If [Image] is true and p is true, then q is also true.”)
A: yes; Law of Detachment