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) If you do your chores, you will please your mother. (2) If you please your mother, you will get a hug. (3) If you do your chores, you will get a hug. a. yes; law of detachment b. yes; law of syllogism c. invalid

Question

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) If you do your chores, you will please your mother. (2) If you please your mother, you will get a hug. (3) If you do your chores, you will get a hug. a. yes; law of detachment b. yes; law of syllogism c. invalid

anonymous · Answer

@Jhannybean ) Help

jhannybean · Answer

This is like

if A $\to$ B, B $\to$ C, A $\to$ C

jhannybean · Answer

Law of detachment states :

1. If p $\to$ q
2. p
3. $\therefore$ q

jhannybean · Answer

Law of syllogism states: 

1. if p $\to$ q
2. if q $\to$ r 
3. $\therefore$ p $\to$  r