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Law of Detachment and Syllogism
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Law of detatchment and syllogism
Law of detatchment
Law of Detactchment:
If p leads to q and p is true then q is true
Law of detatchment example
I make cakes every weekend. Today is Saturday.
This has no conclusion, therfore this is invalid.
(Correction) If it is the weekend, then I will make a cake.
Law of detatchment 3
if you are a giraffe, then you live in saharan africa.
you are a giraffe
We can see that q is true because p is true
Law of detatchment example 2
If im hungry, I will make french toast.
(statement 2) Im hungry
This statment is valid because it follows a proper pattern.
Law of syllogism
Law of syllogism:
Rule-If p-q and q-r, then p-r
If the following two statmements are true Then we can dirive that the thrid statement is true
Law of syllogism example
(Statement 1) If a student gets an a, then the student studies.
(Statement 2) If a student studies, then their parents will not be proud.
(COnslusion) If a student gets an A, then their parents will not be proud.
(corection) if the student studies, then they will get an A.
(statement2) If they get an a, then their parents will be proud.
(conclusion) if the student studies, then their parents will be proud
Law of syllogism example 2
(statement 1) If I dont have a pen, then i cant take the test.
(statment 2) If I cant take the test, then I will fail.
(Conclusion) If I dont have a pen, then I will fail.