SOLUTION: Good morning, Can you please help me understand how to create a Euler diagram to determine whether the syllogism is valid of invalid. For example: No monkeys eat lizards. Koko

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Question 627255: Good morning,
Can you please help me understand how to create a Euler diagram to determine whether the syllogism is valid of invalid. For example:
No monkeys eat lizards.
Koko does not eat lizards.
Koko is a monkey.


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Draw a big rectangle. This is the universe of everything that eats anything. Draw a circle inside of the rectangle. This represents the set of things that eat something, but not lizards. Draw another, smaller circle totally inside of the first circle. This is the set of monkeys, who, presumably, do not eat lizards. If it is possible for Koko to be inside of the larger circle but not inside of the smaller circle, then the syllogism is invalid. Now all you need to decide is whether Koko can be classified as something other than a monkey that does not eat lizards, the name Koko being a typical name for a pet monkey notwithstanding.

Super Double Plus Extra Credit. How would the diagram change if you change "No monkeys eat lizards" to "Some monkeys do not eat lizards"? Would this change the validity of the syllogism?

John

My calculator said it, I believe it, that settles it
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