00:01
All right, in your question, you're given the statements, all silverware is dishwasher safe, all forks are silverware, therefore all forks are dishwasher safe.
00:11
You're asked to use euler diagrams to state whether the statement is valid, this argument is valid, or invalid.
00:21
So all a euler diagram does, this helps you organize the information.
00:28
So what i'm going to say here, i'm going to underline all silverware, and i'm going to underline is then dishwasher safe.
00:37
So i've kind of broken that statement into pieces.
00:41
Now, all silverware is dishwasher safe means all the, i'm going to make a circle to represent silverware, and that whole circle for silverware has to be inside the circle for dishwasher safe.
00:55
So i'm going to make a circle for dishwasher safe.
00:58
And then inside that i'm going to make a circle for silverware.
01:09
Okay, now the second statement says all forks are silverware.
01:17
So inside the silverware circle, we would have another circle that would be forks.
01:28
Now, given that these statements have been given to us as true, we should then be able to make the conclusion that all forks are dishwasher safe because the entire fork circle is inside the dishwasher safe circle...