9. Create a Euler diagram to determine whether the syllogism is valid or invalid.
All children like games.
John likes games.
John is a child., <--At the beginning of this sentence which is the last sentence is suppose to have three dots shaped like a triangle.
no conclusion possible
now, if John were a child, we would know he likes games.
To determine the validity of the syllogism, we can create a Euler diagram.
1. Start by drawing two overlapping circles to represent the two given premises: "All children like games" and "John likes games." Label one circle as "Children" and the other as "Games."
2. Since "All children like games," we can place "Children" completely inside the "Games" circle. This indicates that all children are also individuals who like games.
3. Then, place another circle labeled "John" partially inside the "Children" circle. This indicates that John is a child.
4. Finally, check if John is also inside the "Games" circle. If John is inside the "Games" circle, it confirms that he likes games as stated in the second premise.
Based on the Euler diagram, if John lies within the "Games" circle, it confirms that he is a child who likes games, and therefore the syllogism is valid. If John is outside the "Games" circle, the syllogism is invalid.
Visual representation of a valid Euler diagram for the given syllogism:
___________
| Children |
|____________|
|
_________
| Games |
|________|
|
_________
| John |
|________|