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Directrix
 one year ago
Best ResponseYou've already chosen the best response.0Let x = y. Then, x  y + y = y (x  y + y) / ( x  y) = y / ( x  y) 1 + y / ( x  y ) = y / ( x  y) Therefore, 1 = 0

saloniiigupta95
 one year ago
Best ResponseYou've already chosen the best response.1I hope I can reply :) Here in the first step you took x=y... If you take this into consideration, you cannot do the third step... that is , dividing both sides by (xy) because in doing so , you are actually dividing by 0 on both sides which is absurd... or in mathematical sense, undefined...

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0yes logic @wio and as @saloniiigupta95 says dividing by zero is against the law @Directrix

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1\[0\implies 1\]is true.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1Considering you meant 0 and 1 as in the boolean values.

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0yeah howcome false implies true?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1Because of the identity:\[\phi \implies \psi \ \ \cancel{\equiv} \ \ \psi \implies \phi \ \ \ \ \rm if \ \ \ \ \ \phi \cancel{\equiv} \psi \]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1I mean \(\phi \implies \psi \equiv \neg(\psi \implies \phi) \ \ \ \ \rm if \ \ \ \ \phi \equiv \neg \psi \)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0\[\underline{\qquad\phi\implies\psi\\ {\large\land}\quad\phi\iff\neg\psi\\}\]\[\therefore\quad \neg(\psi\implies\phi)\] ?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1I have problems with the notation :P

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0my problem is \[0\to0\to0\to\dots\to0\to0\to1\to1\to\dots\to1\to1\to1\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1In any order, it'd be \(1\).

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0i can see why zero implies zero , , i can see one implies one, but why/when does zero imply one ?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1\( \ \ \rm m \implies 1 \ \ \ \) is always true.
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