00:01
So for each argument you'd like to determine whether it is correct or incorrect explain why that might be the case so i'm gonna write this out in logical notation.
00:09
If that's not something you're familiar with then don't worry about it a whole lot it's just me keeping track of the things so everyone enrolled in the university has lived in a dormitory so everyone who is enrolled in the university, so for all x if they are enrolled and they live in the dormitory and we're saying mia has never lived in the dormitory so mia has not lived in the dormitory and we are concluding that mia is not enrolled so mia should be capital m include that mia is not has not been enrolled this is a valid argument by universal modus tollens we have e of x implies d of x for any value of for any particular x we have not d of m for a particular value and therefore we get not e of m for that particular value if mia had been enrolled she would have lived in a dormitory, but she hasn't so she hasn't and it is valid by universal modus tollens if you like that's it.
01:23
Let's look at b here.
01:24
A convertible car is fun to drive so for all x a convertible okay, con means consistency if the car is a convertible c of x then it is fun to drive f isaac's car is not a convertible so we have isaac's car is not convertible not convertible of isaac therefore isaac's car is not fun to drive therefore not this is not a valid argument right we have a proposition here p implies q and we have something where p is not true that doesn't necessarily mean that q isn't true all convertibles are fun to drive that doesn't mean that only convertibles are fun to drive.
02:15
It just means that being convertible is a it is a sufficient but not necessary condition to being fun as it were so for that reason b is not valid.
02:28
I'm going to erase this stuff so i don't have to move away from the problem having already done a and b.
02:38
Let's look at c here quincy likes all action movies so for all movies x if it is an action movie, then quincy likes it.
02:50
He likes every action movie he likes the movie eight men out so that tells us he likes the movie eight men out unless that is an eight just to be fun.
03:04
I want to conclude that that eight men out must be an action movie.
03:09
Well not knowing anything but eight men out.
03:11
This is not valid reasoning, right? he says that quincy if it movies an action movie than he likes it...