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Suppose the Variable X Represents Students and Y Represents Courses F(x):x is a freshman A(x):x is a part-time student T(x,y):x is taking yF ( x ) : x \text { is a freshman } \quad A ( x ) : x \text { is a part-time student }\quad T ( x , y ) : x \text { is taking } y \text {. }

question 84

Short Answer

suppose the variable x represents students and y represents courses, and: F(x):x is a freshman A(x):x is a part-time student T(x,y):x is taking yF ( x ) : x \text { is a freshman } \quad A ( x ) : x \text { is a part-time student }\quad T ( x , y ) : x \text { is taking } y \text {. } Write the statement in good English without using variables in your answers.
- x(A(x)¬F(x))\exists x ( A ( x ) \wedge \neg F ( x ) )


Definitions:

HS

A logical argument pattern of hypothetical syllogism, involving two conditional statements leading to a conclusion.

MP

Stands for "Member of Parliament," but in a logical context, it refers to a deductive pattern of reasoning where a specific conclusion is inferred from a general rule and a specific case.

Conj

An abbreviation for "Conjunction," a logical operator that connects two conditions or propositions where both must be true.

Inference Forms

Patterns of reasoning where specific statements lead logically to a conclusion.

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