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3 votes
P: I win a lottery.

q: I give you a million dollars. I promised you: if I win a lottery I will give you a million dollars.
In which case I lied to you?

User Phuc Tran
by
7.8k points

1 Answer

3 votes

Final answer:

The person would have lied if they promised to give a million dollars when they did not win the lottery.

Step-by-step explanation:

To determine if someone lied about winning a lottery and promising to give someone a million dollars, we need to evaluate the truth values of the statements involved. Let p represent the statement 'I win a lottery' and q represent the statement 'I give you a million dollars.' The promise made by the person is 'if I win a lottery I will give you a million dollars,' which can be represented as p → q.

If the person did not win a lottery (¬p), then the promise would not be fulfilled and they would have lied. However, if the person did win a lottery and gave the million dollars (p → q is true), then they did not lie. So, the only case where they would have lied is if they promised to give a million dollars when they did not win the lottery.

User Ayanda
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