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UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
(a) \[\neg(\pi>3.2)\quad\longrightarrow\quad\pi\leq 3.2\](b) \[\neg (x < 0)\quad\longrightarrow\quad x\geq 0\](c) \[\neg(x^2 > 0)\quad\longrightarrow\quad x=0\] (d) \[\neg(x = 1)\quad\longrightarrow\quad x\neq 1\](e) \[\neg\neg \psi\quad\longrightarrow\quad \psi\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
any mistakes?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
its correct. except for imaginary x
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
so this is a more gerneral answer to c)\[\neg(x^2 > 0)\quad\longrightarrow\quad x\in\Im\]?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yup. but if it is mentioned that x is real, then x=0. else x belongs to imaginary.
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
sorry, x belongs to imaginary or x=0
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\longrightarrow \Re(x)=0\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
im a bit confused, what if x is complex
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
but, if x is complex then u x^2 can be positive. yes,even i was thinking that. better assume x as real then x=0
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
im not sure
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
maybe all i can do is this \[\neg(x^2 > 0)\quad\longrightarrow\quad x^2\leq0\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
@AccessDenied
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
what is the best answer for part (c)
 2 years ago

Jemurray3 Group TitleBest ResponseYou've already chosen the best response.2
Typically when you're talking about statements of logic you work in real numbers for simplicity just to get the ideas of negation and implication and all that stuff down. I would mark (c) as correct. Furthermore, since complex numbers are not ordered, the symbols don't make sense for complex numbers, lending credence to the assumption that the quantities in question are real.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
so i should leave it as i had it at the top of the page then ,
 2 years ago

Jemurray3 Group TitleBest ResponseYou've already chosen the best response.2
I would say yes.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
thanks
 2 years ago
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