MHB Rewrite the following sentence as a formal proposition.

[Henry R]

I have a question here. I hope I'm not doing anything wrong here. So, we go!

"If I eat apples, then I will not eat durian, and if I eat durians, then I will not eat rambutans, and if I eat rambutans, then I will not eat apples, but I will surely eat either apples, durians or rambutans."

Let G =" I eat apples" , B ="I eat durians" , P = "I eat rambutans".

I have to rewrite the sentences as a formal proposition. Can you guys give your opinion on how to solve this?

 

[Ackbach]

I have a question here. I hope I'm not doing anything wrong here. So, we go!

"If I eat apples, then I will not eat durian, and if I eat durians, then I will not eat rambutans, and if I eat rambutans, then I will not eat apples, but I will surely eat either apples, durians or rambutans."

Let G =" I eat apples" , B ="I eat durians" , P = "I eat rambutans".

I have to rewrite the sentences as a formal proposition. Can you guys give your opinion on how to solve this?

I would go with the following:
$$(G\to \neg B) \land (B\to \neg P) \land (P\to \neg G) \land (G\lor B\lor P).$$

 

[Henry R]

I would go with the following:
$$(G\to \neg B) \land (B\to \neg P) \land (P\to \neg G) \land (G\lor B\lor P).$$

Good!