Question

Is this a valid argument?

Answer 1

Yes, this is a valid argument. This argument uses the Law of Detachment.

What is the Law of Detachment in logic?

The Law of Detachment states that if the hypothesis of a true conditional statement is true, then the conclusion must be true as well. The Law of Detachment is the most often employed deductive reasoning theory.

Given:

Points X and Y both lie on plane R.

Conclusion: Points X and Y are coplanar.

The argument is true because,

The term "coplanar" refers to "being on the same plane." Coplanar points are points that are on the same plane. A group of points in space is said to be coplanar if there is a geometric plane that contains all of them.

Hence, the Conclusion is Points X and Y are coplanar.

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