IV. Propositional Logic IV-A Generate a truth table for the following formula. (

Question

IV. Propositional Logic

IV-A

Generate a truth table for the following formula. ((P Q) ~(R • ~S))

IV-B

Generate a truth table for the following formula. (~(P • Q) ~(R ~S))

IV-C

Prove or refute the following argument with a truth table. ~(~P • (Q R)), ~P Q

IV-D

Prove or refute the following argument with a truth table. (~P (~Q R)), ~P, Q ~R

V. Propositional Proofs and Refutations

V-A

Prove or refute the following argument.

1 (~S • ~H)

2 ~(~(X • A) • ~P)

3 (H~P)

~(~X S)

Prove or refute the following argument. (MA)

1 ~(~(~Y • ~T) • ~S)

2 ~(S • ~(Q ~X))

3X

~T

V-B

V-C

Prove or refute the following argument. (MA) 1 ~I

2K 3X

((N ~I) • ~(K ~X))

V-D

Prove or refute the following argument. (MA)

1 ~(H • ~K)

2 (~H ~K)

3 (~H~(KQ))

~(~K ~(H ~P)) VI. Quantificational Logic

VII. Quantificational Proofs and Refutations

VII-A

Prove or refute the following argument. (MA) 1 ~(x)~(~Hx • Px)

~((x)~Hx ~(x)Px)

VII-B

Prove or refute the following argument. 1 ~(x)(~Sx ~Nx)

2 ~(x)~(Gx ~Sx) ~(Gk • ~(x)~Nx)

VII-C

Prove or refute the following argument. 1 ~(x)~Mx

2 (x)Fx
(x)(Mx • Fx)

VII-D

Prove or refute the following argument. (MA) 1 ((x)~Qx ~(x)(~Jx Ex))

~(x)(Ex • Qx)

Explanation / Answer

A Java method is a collection of statements that are grouped together to perform an operation. When you call the System.out.println() method, for example, the system actually executes several statements in order to display a message on the console.

Now you will learn how to create your own methods with or without return values, invoke a method with or without parameters, and apply method abstraction in the program design.

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