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anonymous
 one year ago
p: It snows tonight.
q: I will stay home.
Use negation (~), conjunction (˄), disjunction (˅), and/or implication (→) to construct a logical equivalence of p→q.
anonymous
 one year ago
p: It snows tonight. q: I will stay home. Use negation (~), conjunction (˄), disjunction (˅), and/or implication (→) to construct a logical equivalence of p→q.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is converse, contrapositive and inverse, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure, to be honest.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's discrete math, if that helps at all.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So... The converse is "If it snows tonight, I will stay home." The contrapositive is "If it doesn't snow tonight, then I won't stay home." The inverse is: "If I won't stay home tonight, then it won't snow."

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I have to make an equation that looks sort of like this: p v q or ~p v q. I'm not really clear on what is wanted in this problem and my book isn't much help.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3Original Statement If P then Q Negation Statement If NOT P then NOT Q Converse Statement if Q then P Contrapositive Statement if NOT Q then NOT P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Conditional: ~a > ~b Converse: ~b > ~a

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3P ^ Q is P AND Q (both) P V Q is P OR Q (one or the other)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3I think my book uses different terms. I remember original statement negation is the negative version of the original statement converse is the reversed version of the original statement and contrapositive is the negative reversed version of the original statement.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3so we have to go to P > Q P implies Q using some techniques from or and and statements... like a truth table.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes like truth tables. I guess my question is not so much how to do this, but more of what the question is asking me to do. The terminology seems to be different in other places I look, so I guess that is why I was confused.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3P Q P  > Q T T T T F F F T T F F T that's the implies table

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you! That actually helped.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.3so if P is true Q is true... implies will give a True if P is true, Q is false implies will give a False if P is false Q is true implies will give a true if P is false Q is false implies give a true.
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