Weekly Math Problem! #26

Logic. A recent tutoring appointment is the cause of me reminiscing back to the time in my life when I learned logic. At that time, it was a topic that would appear on the Sequential Mathematics II Regents examination I would take. These days, logic is not part of the current high school math curriculum. Here's the funny thing: I wasn't tutoring math when this topic came up; I was tutoring a student in philosophy. 🤷🏿 Now, I am by no means a philosophy tutor. However, I was able to help a student with logic which is a major part of the philosophy course the student came to get help with. During one of our sessions, I described to the student how I learned some of these logic topics as part of my high school math curriculum in New York. So I just had to look it up and make it a problem of the week. 🤓 

The problem below is taken from the January 1998 Sequential II Math Regents, Part III, Question 41, worth 10 points. These kinds of questions were like puzzles to me. 

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️ Logic rules of inference
        ✔️ How to construct a logic proof

Ready? Here is WMP! #26:

Happy solving!

Check back on Friday, November 6th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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Alright, let's get this proof going. First thing's first...symbolization.

Now, that we can see the symbols, it'll be easier to compare them to the rules of inference which will be used to help us prove the proposed conclusion. Here is how I completed the proof:

In the proof, I used "Law of Disjunctive Inference" to refer to Disjunctive Syllogism (or Elimination). Why? I'm kinda old school and that's how I remember it. 👵🏿  

 

▪️ Have you ever done these types of proofs??

▪️ If you have, did you do them in math or philosophy??

▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!

See you next week for WMP! #27

😁➡️

Cheers!

The Younge Lady