A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
\[\begin{array}{ccccc}\phi & \neg \phi & \psi & \phi \Rightarrow \psi & \neg \phi \vee \psi \\ \hline \\T&F&T &T&?\\T&F&F&F&?\\F&T&T&T&?\\F&T&F&T&?\end{array}\]
 2 years ago
\[\begin{array}{ccccc}\phi & \neg \phi & \psi & \phi \Rightarrow \psi & \neg \phi \vee \psi \\ \hline \\T&F&T &T&?\\T&F&F&F&?\\F&T&T&T&?\\F&T&F&T&?\end{array}\]

This Question is Closed

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2i think i made a mistake in the table already

RedPrince
 2 years ago
Best ResponseYou've already chosen the best response.0¬ϕ∨ψ means if either ¬ϕ is true or either ψ is true or both are true then the answer is true otherwise it is false ¬ϕ is false but ψ is true so the answer is true, and so on

RedPrince
 2 years ago
Best ResponseYou've already chosen the best response.0post your question again and right!!

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2\[\begin{array}{ccccc}\phi & \neg \phi & \psi & \phi \Rightarrow \psi & \neg \phi \vee \psi \\ \hline \\T&F&T &T&T\\T&F&F&F&F\\F&T&T&T&T\\F&T&F&T&T\end{array}\] is that right?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2it makes sense now, your answer form before , was right for the table i posted originally

RedPrince
 2 years ago
Best ResponseYou've already chosen the best response.0last one is wrong one of ψ and ¬ϕ is true, so how can it be true.....!!! check this! http://www.hermit.cc/teach/ho/dbms/optable.htm

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1hmmm It seems to be that you are correct Unkle

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1I cant seem to find where you went wrong. Everything seems correct

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2cool, what about this one \[\begin{array}{cccccc}\phi & \psi & \neg\psi & \phi \Rightarrow \psi & \phi \not\Rightarrow \psi &\psi\wedge\neg\psi\\ \hline \\T&T &F&T&\\T&F&T&F&\\F&T&F&T&\\F&F&T&T& \end{array}\]

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1The last column is obv false

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1I am not sure what that sign is of the second to last column

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0You were correct above, proving that the statements are logically equivalent

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348840677936:dw

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2phi does not imply psi

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1hmmm Y have I never come across that one????? Ok Let me go get my book and see

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1Well isnt that then the same as ~(P>Q) I mean it should just be the opposite of the column before

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2\[\begin{array}{cccccc}\phi & \psi & \neg\psi & \phi \Rightarrow \psi & \phi \nRightarrow \psi &\phi\wedge\neg\psi\\ \hline \\T&T &F&T&\\T&F&T&F&\\F&T&F&T&\\F&F&T&T& \end{array}\]

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1waitttt we didnt finish the previous one lol

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2is \[\phi\nRightarrow\psi\] the same as \[\neg\phi\Rightarrow\psi\]?

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1\(\neg(\phi\Rightarrow\psi)\)

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1cuz idk I remember doing this stuff and we never came across that symbol

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2ok so you were right\[\phi\nRightarrow\psi\]\[\downarrow\]\[\neg(\phi\Rightarrow\psi)\]\[\downarrow\] opposite to the previous column,

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1The last column is F T F F

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2\[\begin{array}{cccccc}\phi & \psi & \neg\psi & \phi \Rightarrow \psi & \phi \nRightarrow \psi &\phi\wedge\neg\psi\\ \hline \\T&T &F&T&F&F\\T&F&T&F&T&T\\F&T&F&T&F&F\\F&F&T&T&F&F \end{array}\]

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2how did you get the last column ?

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1Ok well that is known as the and connective And the rule there is that a true with False=False A false with a fasle is false and a true with a true =true And it should make sense logically in your brain FALSE AND FALSE=FALSE TRUE AND FALSE cant be true it must be FALSE TRUE AND TRUE is obv TRUE

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2i dont think i understand the difference between ¬φ ∨ ψ these φ ∨ ¬ψ

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1Ok well firstly the connective is the or connective and its always true except when both compartments are false So TRUE OR TRUE=TRUE TRUE OR FALSE=TRUE Lets take the sentence I went to bed early or i went to bed on time Its true statement even though one half of the sentence contradicts the other FALSE OR FALSE+FALSE

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1The only difference is which column you will use.

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1Like one phi is negative and the other psi is negative

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1Well basically if you dont understand the difference then you are basically not following how truth tables are formed

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1ok lets make a truth table.

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1348842795418:dw

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1This drawing board was def testing my patience

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1the way i figured out the last 2 columns was look at the appropriate 2 columns and decide if it would be true or false

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2YES that table makes sense now thankyou ! @swissgirl

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1lol I hope so. Its kinda hard to explain but if you start from the wayyyyyy begginning then like once you get it its simple

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2i guess we can conclude that \[\phi\Rightarrow\psi\qquad\leftrightarrow\qquad\neg\phi\vee\psi\] and \[\phi\nRightarrow\psi\qquad\leftrightarrow\qquad\phi\vee\neg\psi\]

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.1I dont like the second part of your conclusion Are you sure that it is correct?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2oh yeah i got that a wrong

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.2\[\phi\nRightarrow\psi\qquad\leftrightarrow\qquad\phi\wedge\neg\psi\]
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.