Warum sind die Wahrheitstabellen verschieden?

Gegeben ist die Formel: ((a → b) ^ (a → c)) → (a → (b ^ c))

Die obige Formel ist eine Tautologie.

ich habe die Formel jedoch vorher regelkonform umgeformt und habe die Wahrheitstabelle davon dann gebildet wobei ich bei a= true,b = false, c=true am ende false bekomme.

Meine Umgeformte Formel:

(A^-B) v (A ^ -C ) v (-A v (B ^ C))

(No Ratings Yet)
Loading...

Similar Posts

Subscribe
Notify of
6 Answers
Oldest
Newest Most Voted
Inline Feedbacks
View all comments
Schachpapa
1 year ago
Reply to  BraunBaer99

P.P.S: ChatGPT and Gemini are amazingly bad in finding a mistake…

ChatGPT is pretty bad in logic, computing, mathematics. It’s not done for that either.

It is good to continue or blow up or re-formulate in the text.

DerRoll
1 year ago

How do you get up (a and not c)? You certainly did not reshaped “regularly” because the original formula is symmetrical in b and c, your formula obviously is not.

DerRoll
1 year ago
Reply to  BraunBaer99

Ok, at least it was obvious that because of the asymmetry it had to have been an error in the derivation. I didn’t count myself, but I only pointed to this obviousness. I’m glad you found the mistake yourself.