Question on how to diagram into lawgic this sentence

GUDETAMA

"Jack must be diligent and smart because without these traits he is doomed to fail"

• /Diligent or /Smart ---> Fail
  Meaning: If Jack is not diligent or smart then it guarantees he will fail.
  As this is a OR statement Jack can be the following below to trigger him Failing

1. Diligent and /Smart
2. /Diligent and Smart
3. /Diligent and /Smart

• /Fail --> Diligent and Smart (Contrapositive)
  Meaning: If Jack doesn't fail then he must be both Diligent and Smart.

I have been trying to make up more difficult sentences to diagram into lawgic to help my understanding but have been a bit confused with this. Would really appreciate it if someone can correct me if I have messed up in anyway thank you so much in advance!

BlindReviewer

Yep that looks good to me! And I think you've written it in a good way because it's more difficult to rearrange the parts of the statement with referential phrasing (these traits). It may also be good to practice rearranging the sentences in your mind: "He is doomed to fail without "diligent" and "smart" traits which is easy to translate into lawgic.

GUDETAMA

@BlindReviewer Thank you so much and rearranging the sentence was something that definitely didn't think of!