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Mathematical logic
Gate Fever
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Mathematical Logic
Jan 8, 2019
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May 12, 2021
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Shiva Sagar Rao
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what is the truth value of this if x,y belong to real numbers
$\exists x\forall y(y\neq 0 \rightarrow xy=1)$
am getting true,but given answer is false.
mathematical-logic
first-order-logic
Gate Fever
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Mathematical Logic
Jan 8, 2019
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Shiva Sagar Rao
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Gate Fever
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Shobhit Joshi
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Jan 8, 2019
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the logic statement says there exist an x, for which is true for every y. So, this is false.
this would be true if the logic statement was like $\forall y \,\exists x(y\neq 0 \rightarrow xy=1)$, this would be true.
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Gate Fever
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Jan 8, 2019
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u mean
$\exists x\forall y $ means sab y k lie ek x exist karta h , matlab koi ek aisa x hona chahie jispe sb y multiplykarne pr 1 dete ho!
$\forall y\exists x$ means har y k lie koi na koi x exist krta h ,jise multiply karne par wo 1 dede
am i right??
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Shobhit Joshi
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@Gate Fever
bilkul sahi bhai
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