Which is the Law of Detachment in symbolic form?
A.

If p → q is a true statement and p is true, then q is true.

B.

If p → q is a false statement and p is true, then q is false.

C.

If p → q and q → r are false statements, then p → r is a false statement.

D.

If p → q and q → r are true statements, then p → r is a true statement.

Question

Which is the Law of Detachment in symbolic form?
 A.	
 
If p → q is a true statement and p is true, then q is true.
 
 B.	
 
If p → q is a false statement and p is true, then q is false.
 
 C.	
 
If p → q and q → r are false statements, then p → r is a false statement.
 
 D.	
 
If p → q and q → r are true statements, then p → r is a true statement.

directrix · Answer

A.	
 
If p → q is a true statement and p is true, then q is true.

Classic Syllogism:
All men are mortal.
Socrates is a man.
Therefore, Socrates is morta.