Translating a sentence into a predicate formula
$begingroup$
Problem 3.40. (a) Translate the following sentence into a predicate formula:
There is a student who has e-mailed at most n other people in the class,
besides possibly himself.
The domain of discourse should be the set of students in the class; in addition, the only predicates that you may use are
- equality,
- E.x; y/, meaning that “x has sent e-mail to y.”
(b) Explain how you would use your predicate formula (or some variant of it) to
express the following two sentences.
- There is a student who has emailed at least n other people in the class, besides possibly himself.
- There is a student who has emailed exactly n other people in the class, besides possibly himself.
discrete-mathematics
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
$endgroup$
add a comment |
$begingroup$
Problem 3.40. (a) Translate the following sentence into a predicate formula:
There is a student who has e-mailed at most n other people in the class,
besides possibly himself.
The domain of discourse should be the set of students in the class; in addition, the only predicates that you may use are
- equality,
- E.x; y/, meaning that “x has sent e-mail to y.”
(b) Explain how you would use your predicate formula (or some variant of it) to
express the following two sentences.
- There is a student who has emailed at least n other people in the class, besides possibly himself.
- There is a student who has emailed exactly n other people in the class, besides possibly himself.
discrete-mathematics
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
$endgroup$
1
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31
add a comment |
$begingroup$
Problem 3.40. (a) Translate the following sentence into a predicate formula:
There is a student who has e-mailed at most n other people in the class,
besides possibly himself.
The domain of discourse should be the set of students in the class; in addition, the only predicates that you may use are
- equality,
- E.x; y/, meaning that “x has sent e-mail to y.”
(b) Explain how you would use your predicate formula (or some variant of it) to
express the following two sentences.
- There is a student who has emailed at least n other people in the class, besides possibly himself.
- There is a student who has emailed exactly n other people in the class, besides possibly himself.
discrete-mathematics
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
$endgroup$
Problem 3.40. (a) Translate the following sentence into a predicate formula:
There is a student who has e-mailed at most n other people in the class,
besides possibly himself.
The domain of discourse should be the set of students in the class; in addition, the only predicates that you may use are
- equality,
- E.x; y/, meaning that “x has sent e-mail to y.”
(b) Explain how you would use your predicate formula (or some variant of it) to
express the following two sentences.
- There is a student who has emailed at least n other people in the class, besides possibly himself.
- There is a student who has emailed exactly n other people in the class, besides possibly himself.
discrete-mathematics
discrete-mathematics
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
edited Jan 23 at 16:25
N. F. Taussig
44.5k103357
44.5k103357
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
asked Jan 23 at 16:16
Jinlin LIJinlin LI
1
1
1
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31
add a comment |
1
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31
1
1
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31
add a comment |
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1
$begingroup$
Do you know quantifiers ? Like e.g. $exists x$
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:18
$begingroup$
How are you asked to mange the "n" ? Do you know "numerical" quantifiers ? if not, Try with the simple cases : $n=1$ and $n=2$.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:30
$begingroup$
How we have to read "besides possibly himself" ? That we have to exclude himself from counting, I think...
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 16:31