Question

Want to check some logic statements!

My original statement

Conditional: If I can get to a computer, then I can defeat Dr. Madness.

Other statements

Inverse: If I cannot get to a computer, then I cannot defeat Dr. Madness.

Converse: If I defeated Dr. Madness, then I got to a computer.

Contrapositive: If I have not defeated Dr. Madness, then I did not get to a computer.

I just want to make sure I have these worded right :)!

Answer 1

The wording of the converse seems okay in a some contexts, but I think the right way to phrase it would be to continue using the verb tense of the original statement. So, it would be
\[\text{"If I can defeat Dr. Madness, then I can get to a computer."}\]
Your inverse statement, while it makes sense, is technically not the inverse of your original.

The same goes for your contrapositive. I'm not sure how picky logicians may be about verb tense, but I think it's almost right.

Answer 2

Okay! Thank you :)