Suppose the Variable X Represents Students, Y Represents Courses, and T(x

question 34

Short Answer

suppose the variable x represents students, y represents courses, and T(x, y) means "x is taking y." $$\begin{array}{l}\text { Match the English statement with all its equivalent symbolic statements in this list: }\\\begin{aligned}1 . & \exists x \forall y T ( x , y ) & 2 . & \exists y \forall x T ( x , y ) & 3 . & \forall x \exists y T ( x , y ) \\4 . & \neg \exists x \exists y T ( x , y ) & 5 . & \exists x \forall y \neg T ( x , y ) & 6 . & \forall y \exists x T ( x , y ) \\7 . & \exists y \forall x \neg T ( x , y ) & 8 . & \neg \forall x \exists y T ( x , y ) & 9 . & \neg \exists y \forall x T ( x , y ) \\10 . & \neg \forall x \exists y \neg T ( x , y ) & 11 . & \neg \forall x \neg \forall y \neg T ( x , y ) & 12 . & \forall x \exists y \neg T ( x , y )\end{aligned}\end{array}$$
-No student is taking any course.

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Definitions:

Cataracts

A medical condition that causes clouding of the eye's natural lens, leading to decreased vision, which is commonly related to aging.

Blind Spots

Areas in our perception where we lack awareness or understanding, often used metaphorically; in vision, the part of the retina without photoreceptors, where the optic nerve exits, leading to a lack of visual detection.

Decibels

A logarithmic unit of measurement that expresses the magnitude of a physical quantity (originally sound intensity) relative to a specified or implied reference level.

Immanuel Kant

A German philosopher from the 18th century, renowned for his critical philosophy that includes the Critique of Pure Reason, emphasizing the role of skepticism and the limits of human understanding.