Suppose P(x, Y) Is a Predicate and the Universe for the Variables

question 186

True/False

suppose P(x, y) is a predicate and the universe for the variables x and y is {1, 2, 3}. Suppose
P(1, 3), P(2, 1), P(2, 2), P(2, 3), P(3, 1), P(3, 2) are true, and P(x, y) is false otherwise. Determine whether the following statements are true.
- $$\neg \exists x \exists y ( P ( x , y ) \wedge \neg P ( y , x ) )$$

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Definitions:

Social Environment

The surrounding social conditions and cultural context in which individuals live and interact.

Individualistic Cultures

Cultures that emphasize personal achievements and individual rights, often promoting self-expression and independence.

Collectivistic Cultures

Societies that prioritize the goals and well-being of the group over individual achievement and identity.

Initiative

The capacity to assess and initiate things independently, often to take charge before others do.