I am having a difficult time understanding if statements are valid or invalid using Euler diagrams with questions likeAll Earth people have two headsAll people with two heads can flyTherefore, all earth people can fly
I am having a difficult time understanding if statements are valid or invalid using Euler diagrams with questions like
All Earth people have two heads
All people with two heads can fly
Therefore, all earth people can fly
To check whether the last statement is true assuming that the first two are true.
Euler diagrams (also called Venn diagrams) are used to represent the relationship(s) between different sets (for example, the relationship of a set A being a subset of another set B).
If P and Q are the statements representing the set A and B, then the Euler diagram above can be used to deduce the following chain: P is true , therefore Q is true.
Let P represent the statement "all earth people have two heads"
Let Q represent the statement "all people with two heads can fly"
Let R represent the statement "all earth people can fly"
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