Question 1128393: use an Euler diagram to determine whether the syllogism is valid or invalid.
All dolphins are mammals.
All mammals are vertebrates.
∴All dolphins are vertebrates
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! One method for verifying the validity of an argument is the visual technique based on Euler diagrams
This technique is similar to Venn diagrams, in that circles are
used to denote sets, with
-overlap indicating shared elements
-disjoint circles indicating no shared elements
-a circle contained within another circle indicating a subset
in your case:
Following the description, draw a largest circle labeled "vertebrates." Inside that circle, draw a smaller circle labeled "mammals." Inside that circle, draw a smaller circle labeled "dolphins."
Because the "dolphins" circle is inside the "vertebrates" circle, you can say that all dolphins are vertebrates.
=> the syllogism is valid
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