00:01
So this portion of geometry is veering a little bit away from shapes and angles and all that sort of fun.
00:07
But we are talking a little bit about logic and a bit of the formal logic.
00:13
So constructing premises and conclusions and identifying the building blocks of these different statements, which can be really useful for determining valid sound reasoning and arguments in this sort of thing.
00:28
So what we're doing for this problem is we're looking at a phrase that is given to us and we're asked to classify the statement as a few different terms that are given to us.
00:38
So we need to understand these terms.
00:41
So we're giving simple.
00:44
We're given an option of simple.
00:52
And this is just a statement.
00:57
So the cat is blue.
01:01
I like toys.
01:03
That sort of thing is just simple.
01:05
It's a simple statement as it sounds.
01:07
We have conditional which i'll abbreviate as c -o -n -d as condo but conditional and this are statements that give a condition for something to happen so the tool in the english language that provides the conditional function is the word if so let's think about how this makes sense we hear this all a time in normal language have you ever been asked to do something and you'll say i'll do it on one condition or i'll do it on the condition that so if i do this you will have to do this or if i do this i won't have any homework if i do this i will reward myself by doing x, y, and z.
01:54
So this is an if statement.
01:56
It gives us a condition for doing something or for something to be true.
02:03
We have a conjunction.
02:10
What you see on g and i believe in the english language we call these conjunction anyways but in logic they have the same definition and these are sort of combining and inclusive terms so and would be a conjunction so if if a and b are true then c is true so it includes uh both terms or if i drink soda with toothpaste then it will taste bad these are conjunction terms they are including more than one terms in the premise.
02:52
So the first part of the statement.
02:55
And then we have disjunction where this is the opposite.
02:58
This is more exclusive...