00:01
Here we have two statements that we're looking at.
00:03
Some psychologists are university professors.
00:06
So let's start with defining what a psychologist is.
00:11
We'll define that as p of x.
00:16
And we can define a university professor as u of x.
00:27
Next, we have some psychologists have a private practice.
00:32
So we already have a psychologist defined, and we can define a private practice as r of x.
00:42
So how would we write the phrase some psychologist or university professors with quantifiers? the easiest way to look at this phrase is sum means that it's going to be an existential quantifier.
00:55
So some x is a p of x.
01:02
So they are a psychologist and they are a university professor.
01:07
So we have to use the and u of x.
01:18
And next we have some psychologists have a, private practice so some psychologists there exists a psychologist that have a private practice now we're trying to prove or disprove the phrase that some university professors have a private practice so how can we state that so we have the circle for those that are psychologists to draw here we have the circle for those that are university professors, and we know they overlap to some extent.
02:18
So let's draw this overlap...