Write a statement that is logically equivalent to the statement below. Demonstrate it is logically equivalent by citing evidence to justify your statement:

If today is Saturday, then it is the weekend.

Question

Write a statement that is logically equivalent to the statement below. Demonstrate it is logically equivalent by citing evidence to justify your statement:

If today is Saturday, then it is the weekend.

anonymous · Answer

To solve these using logic, you have to understand the logical definitions. Ex. What constitutes a weekend. By this definition its important that thursday would not be included. You have to prove the following:

If today is Saturday, then it is the weekend.

The logical proof is in the definition of a weekend. If a weekend only occurred once a year on saturday or sunday. Then you could say the following.

If today is Saturday then it is false to say that it is the weekend since many saturdays occur that are not the weekend. since the weekend occurs only once a year. etc...

This is silly, but it should help you to think logically, by creating definitions.

montesanna99 · Answer

Ok thank you i got a little confused cause I wasn't sure how to explain why its equivalent

anonymous · Answer

Post your answer

montesanna99 · Answer

Well the statement would be:
If it is not the weekend, then it is not Saturday 

This is logically equivalent because the weekend is made up of the days Saturday and Sunday, therefore it isn't the weekend so it can't be Saturday.

anonymous · Answer

This is not correct. 

If today is Saturday, then it is the weekend. 

You have to provide the connection between "weekend" and "Saturday", you provide this by  the definition that a weekend consists of either Sunday or Saturday.

Ex. Since a weekend occurs on a friday or saturday, if today is saturday then a weekend is occuring.

anonymous · Answer

*i mean sunday not friday

montesanna99 · Answer

OK