Question 415694: Create a Euler diagram to determine whether the syllogism is valid or invalid.
All grocery stores are open until 10 p.m.
The store on the corner is open until 10 p.m.
The store on the corner is a grocery store.
can some one please walk me through this i am not getting this i keep getting them wrong please help me with this
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you are given 2 statements:
all grocery stores are open until 10 pm.
the store on the corner is open until 10 pm.
based on this premise, the conslusion states that:
the store on the corner is a grocery store.
i believe this is not true.
to prove that it is not true, you have to show that there is at least one instance where the statement is not valid.
consider the first statement.
all grocery stores are open until 10 pm.
this does not tell you anything about any other type of store.
it only talks about grocery stores.
consider the second statement.
the store on the corner is open until 10 pm.
you have no way of knowing whether this store is a grocery store or some other type of store.
it could be a grocery store, but it could also not be a grocery store.
the conclusion that this store must be a grocery store because it is open until 10 pm is not true.
what if it was a department store, or a hardware store or any other kind of store.
there is nothing in the first 2 statements that indicate if a store is not a grocery store that it can't be open until 10 pm.
i would say the logic is invalid.
if you were to draw a sset of all stores, then grocery stores would be a subset of all stores.
you could then draw a subset of all stores that are open until 10 pm.
grocery stores would be a subset of that set.
this implies that there are other type stores that can also be open until 10 pm.
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