Purchase Solution

Mathematical Proof: Is the Argument Valid?

Not what you're looking for?

Ask Custom Question

Determine whether the following argument is valid:

P > Q
(~P & R) > S
:. ~R v S.

Purchase this Solution

Solution Summary

A detailed review of the meanings of the individual assumptions in the argument is provided. Then, to determine whether the argument is valid, the consequences of combining those assumptions are investigated.

Solution Preview

Statement 1 (P > Q) means "P implies Q."

Recall that an implication "X > Y" is true if and only if "~X v Y" is true (that is, if and only if X is false or Y is true (or both)).

Thus statement 1 is true if and only if P is false or Q is true (or both).


Statement 2 [(~P & R) ...

Solution provided by:
  • AB, Hood College
  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
Recent Feedback
  • "Thanks for your assistance. "
  • "Thank you. I understand now."
  • "Super - Thank You"
  • "Very clear. I appreciate your help. Thank you."
  • "Great. thank you so much!"
Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts