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 $exists x forall y exists z((x + y)z = 1)$?
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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 $exists x forall y exists z((x + y)z = 1)$?
$begingroup$
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, $y^xge0$
predicate-logic logic-translation
$endgroup$
add a comment |
$begingroup$
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, $y^xge0$
predicate-logic logic-translation
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
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, $y^xge0$
predicate-logic logic-translation
$endgroup$
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
predicate-logic logic-translation
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
add a comment |
$begingroup$
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
add a comment |
0
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$begingroup$
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