Match the English Statement with All Its Equivalent Symbolic Statements $\exists x \forall y T ( x , y )$

question 19

Short Answer

Match the English statement with all its equivalent symbolic statements in this list: 1. $\exists x \forall y T ( x , y )$$\quad$$\quad$$\quad$ 2. $\exists y \forall x T ( x , y )$$\quad$$\quad$$\quad$ 3. $\forall x \exists y T ( x , y )$
4. $\neg \exists x \exists y T ( x , y )$$\quad$$\quad$ 5. $\exists x \forall y \neg T ( x , y )$$\quad$$\quad$$\quad$ 6. $\forall y \exists x T ( x , y )$
7. $\exists y \forall x \neg T ( x , y )$$\quad$$\quad$ 8. $\neg \forall x \exists y T ( x , y )$$\quad$$\quad$$\quad$ 9. $\neg \exists y \forall x T ( x , y )$
10. $\neg \forall x \exists y \neg T ( x , y )$$\quad$ 11. $\neg \forall x \neg \forall y \neg T ( x , y )$$\quad$ 12. $\forall x \exists y \neg T ( x , y )$
-No student is taking any course.
In 137-147 suppose the variable x represents students, F(x) means "x is a freshman',' and M(x) means "x is

---

Definitions:

Nuclear Family

A family unit typically consisting of two parents and their children, regarded as the basic social unit in many societies.

Divorce Act

Legislation that governs the legal process of divorce, outlining the conditions, procedures, and ramifications for legally dissolving a marriage between two parties.

1968

A significant year globally, marked by numerous major political and social upheavals, protests against the Vietnam War, civil rights movements, and student protests around the world.

Material Conditions

The physical and economic factors that influence how individuals live, work, and interact within a society, according to Marxist theory.