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Lesson: Law of Detachment
Contributed by: Pappal
There are two laws regarding 
There are two laws regarding 
conditional statements:
There are two laws regarding 
conditional statements:
The law of detachment
There are two laws regarding 
conditional statements:
The law of detachment
and
There are two laws regarding 
conditional statements:
The law of detachment
The law of syllogism
and
Let's go through the law of detachment first
For the law of detachment you will be given two things:
Let's go through the law of detachment first
For the law of detachment you will be given two things:
Let's go through the law of detachment first
A conditional statement
For the law of detachment you will be given two things:
Let's go through the law of detachment first
A conditional statement
and
For the law of detachment you will be given two things:
Let's go through the law of detachment first
A conditional statement
A statement of fact
and
If it is a pelican, then it is a bird.
If it is a pelican, then it is a bird.
This is a conditional statement
This is a pelican
If it is a pelican, then it is a bird.
If it is a pelican, then it is a bird.
Henry is a pelican.
This is a statement of fact
If it is a pelican, then it is a bird.
Henry is a pelican.
If someone studies, then they will do well.
Henry studies.
Conditional Statement
?
Statement of Fact
?
If it is a pelican, then it is a bird.
Henry is a pelican.
If the statement of fact matches
If it is a pelican, then it is a bird.
Henry is a pelican.
If the statement of fact matches
If it is a pelican, then it is a bird.
the hypothesis in the conditional statement
Henry is a pelican.
If the statement of fact matches
If it is a pelican, then it is a bird.
the hypothesis in the conditional statement
Henry is a pelican.
These two match
Do these match?
If it is a spider, then it has 8 legs.
Yes
No
Henry is a spider.
Do these match?
If it is a spider, then it has 8 legs.
Yes
No
Henry has 8 legs.
If the statement of fact matches
If it is a pelican, then it is a bird.
the hypothesis in the conditional statement
Henry is a pelican.
We can make a conclusion
If the statement of fact matches
If it is a pelican, then it is a bird.
the hypothesis in the conditional statement
Henry is a pelican.
We can make a conclusion
If the statement of fact matches
If it is a pelican, then it is a bird.
using the conclusion in the conditional statement
the hypothesis in the conditional statement
Henry is a pelican.
We can make a conclusion
If the statement of fact matches
If it is a pelican, then it is a bird.
using the conclusion in the conditional statement
the hypothesis in the conditional statement
Henry is a pelican.
This is the conclusion
We can make a conclusion
If the statement of fact matches
If it is a pelican, then it is a bird.
using the conclusion in the conditional statement
the hypothesis in the conditional statement
Henry is a pelican.
Henry is a bird
Answer
Let's try another one:
Let's try another one:
If a student studies, then they will pass.
Let's try another one:
If a student studies, then they will pass.
Carly studies.
Let's try another one:
Does the fact match the hypothesis?
If a student studies, then they will pass.
Carly studies.
Yes
No
Since they match, we can make a conclusion:
Let's try another one:
If a student studies, then they will pass.
Carly studies.
Since they match, we can make a conclusion:
Let's try another one:
If a student studies, then they will pass.
Carly studies.
Carly passes.
Sometimes no conclusion can be made.
Sometimes no conclusion can be made.
If it is a pelican then it is a bird.
Sometimes no conclusion can be made.
If it is a pelican then it is a bird.
Henry is a bird.
Because the hypothesis doesn't match the fact.
Sometimes no conclusion can be made.
If it is a pelican then it is a bird.
Henry is a bird.
Because the hypothesis doesn't match the fact.
Sometimes no conclusion can be made.
If it is a pelican then it is a bird.
Henry is a bird.
These do not match
Because the hypothesis doesn't match the fact.
Sometimes no conclusion can be made.
Then the answer is 
If it is a pelican then it is a bird.
Henry is a bird.
Because the hypothesis doesn't match the fact.
Sometimes no conclusion can be made.
Then the answer is 
If it is a pelican then it is a bird.
Henry is a bird.
No conclusion
Because the hypothesis doesn't match the fact.
Sometimes no conclusion can be made.
Then the answer is 
If it is a pelican then it is a bird.
Henry is a bird.
No conclusion
Answer
If someone is good at math, then they get good grades.
Find the conclusion.
Carmen is good at math.
Carmen gets good grades.
No conclusion.
If someone is good at math, then they get good grades.
Find the conclusion.
Carmen gets good grades.
Carmen is good at math.
No conclusion.
If someone wins, then they must be good.
John Cena is good.
 John Cena wins
No conclusion.
If someone wins, then they must be good.
John Cena wins.
 John Cena is good
No conclusion.
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