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Source permutation



Answer depending on whether the exponent is odd or even?


Is this negation correct?Nested Quantifiers and EquivalencesNeed to check if these logic answers are correct =)Discrete Math and about domain of discourseDetermine truth value of following,Help translating some sentences into predicate logicWhat is the truth values for the proposition ∀x ∃y x > y?Translating sentence to FOL questionPredicate Logic Natural Number ProblemsHow to read $exists x forall y exists z((x + y)z = 1)$?













-3












$begingroup$


Can the the answer be true for every even $x$ and false for every odd $x$?




4 $exists xinmathbb N^*$ s.t. $y^xge0 forall xinmathbb R$
Translate. There is at one $x$ in $mathbb N^*$, s.t. whenever $y^x$ the number is always in $mathbb N$, and $y$ can be any number in $mathbb R$.

Ans: True. For $x=$ even number, $y^xge0$











share|cite|improve this question











$endgroup$











  • $begingroup$
    An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
    $endgroup$
    – Javi
    yesterday











  • $begingroup$
    You must have a typo in the first line, $x$ surely isn't quantified twice,
    $endgroup$
    – ancientmathematician
    yesterday















-3












$begingroup$


Can the the answer be true for every even $x$ and false for every odd $x$?




4 $exists xinmathbb N^*$ s.t. $y^xge0 forall xinmathbb R$
Translate. There is at one $x$ in $mathbb N^*$, s.t. whenever $y^x$ the number is always in $mathbb N$, and $y$ can be any number in $mathbb R$.

Ans: True. For $x=$ even number, $y^xge0$











share|cite|improve this question











$endgroup$











  • $begingroup$
    An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
    $endgroup$
    – Javi
    yesterday











  • $begingroup$
    You must have a typo in the first line, $x$ surely isn't quantified twice,
    $endgroup$
    – ancientmathematician
    yesterday













-3












-3








-3





$begingroup$


Can the the answer be true for every even $x$ and false for every odd $x$?




4 $exists xinmathbb N^*$ s.t. $y^xge0 forall xinmathbb R$
Translate. There is at one $x$ in $mathbb N^*$, s.t. whenever $y^x$ the number is always in $mathbb N$, and $y$ can be any number in $mathbb R$.

Ans: True. For $x=$ even number, $y^xge0$











share|cite|improve this question











$endgroup$




Can the the answer be true for every even $x$ and false for every odd $x$?




4 $exists xinmathbb N^*$ s.t. $y^xge0 forall xinmathbb R$
Translate. There is at one $x$ in $mathbb N^*$, s.t. whenever $y^x$ the number is always in $mathbb N$, and $y$ can be any number in $mathbb R$.

Ans: True. For $x=$ even number, $y^xge0$








predicate-logic logic-translation






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday









Parcly Taxel

43.5k1375104




43.5k1375104










asked yesterday









user10798572user10798572

24




24











  • $begingroup$
    An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
    $endgroup$
    – Javi
    yesterday











  • $begingroup$
    You must have a typo in the first line, $x$ surely isn't quantified twice,
    $endgroup$
    – ancientmathematician
    yesterday
















  • $begingroup$
    An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
    $endgroup$
    – Javi
    yesterday











  • $begingroup$
    You must have a typo in the first line, $x$ surely isn't quantified twice,
    $endgroup$
    – ancientmathematician
    yesterday















$begingroup$
An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
$endgroup$
– Javi
yesterday





$begingroup$
An answer can depend on the parity of $x$, for example the question "Is $x$ divisible by $2$?"
$endgroup$
– Javi
yesterday













$begingroup$
You must have a typo in the first line, $x$ surely isn't quantified twice,
$endgroup$
– ancientmathematician
yesterday




$begingroup$
You must have a typo in the first line, $x$ surely isn't quantified twice,
$endgroup$
– ancientmathematician
yesterday










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