writing in Logic: the following sentences
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I have to write these 5 sentences in Logic but I'm not sure that I've done well. If someone can help me, I really appreciate that.
Giovanni loves nature:
Loves(giovanni,nature)
Nature lovers preserve the environment:
∀x loves(x,nature) ⇔ preserve(x,environment)
People who preserve the environment do not leave garbage in the woods:
∀x ¬leave_g(x,woods) ⇒ preserve(x,environment)
People who preserve the environment do not light fires in the woods:
∀x ¬light_f(x,woods) ⇒ preserve(x,environment)
logic first-order-logic
asked Dec 13 '18 at 15:08
GoldGold
61
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add a comment |
$begingroup$
I have to write these 5 sentences in Logic but I'm not sure that I've done well. If someone can help me, I really appreciate that.
Giovanni loves nature:
Loves(giovanni,nature)
Nature lovers preserve the environment:
∀x loves(x,nature) ⇔ preserve(x,environment)
People who preserve the environment do not leave garbage in the woods:
∀x ¬leave_g(x,woods) ⇒ preserve(x,environment)
People who preserve the environment do not light fires in the woods:
∀x ¬light_f(x,woods) ⇒ preserve(x,environment)
logic first-order-logic
asked Dec 13 '18 at 15:08
GoldGold
61
$endgroup$
$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
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If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
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What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06
add a comment |
$begingroup$
I have to write these 5 sentences in Logic but I'm not sure that I've done well. If someone can help me, I really appreciate that.
Giovanni loves nature:
Loves(giovanni,nature)
Nature lovers preserve the environment:
∀x loves(x,nature) ⇔ preserve(x,environment)
People who preserve the environment do not leave garbage in the woods:
∀x ¬leave_g(x,woods) ⇒ preserve(x,environment)
People who preserve the environment do not light fires in the woods:
∀x ¬light_f(x,woods) ⇒ preserve(x,environment)
logic first-order-logic
asked Dec 13 '18 at 15:08
GoldGold
61
$endgroup$
I have to write these 5 sentences in Logic but I'm not sure that I've done well. If someone can help me, I really appreciate that.
Giovanni loves nature:
Loves(giovanni,nature)
Nature lovers preserve the environment:
∀x loves(x,nature) ⇔ preserve(x,environment)
People who preserve the environment do not leave garbage in the woods:
∀x ¬leave_g(x,woods) ⇒ preserve(x,environment)
People who preserve the environment do not light fires in the woods:
∀x ¬light_f(x,woods) ⇒ preserve(x,environment)
logic first-order-logic
logic first-order-logic
asked Dec 13 '18 at 15:08
GoldGold
61
asked Dec 13 '18 at 15:08
GoldGold
61
asked Dec 13 '18 at 15:08
GoldGold
61
asked Dec 13 '18 at 15:08
GoldGold
61
asked Dec 13 '18 at 15:08
GoldGold
61
61
$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
$begingroup$
If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
$begingroup$
What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06
add a comment |
$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
$begingroup$
If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
$begingroup$
What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06
$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
$begingroup$
If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
$begingroup$
If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
$begingroup$
What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06
add a comment |
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$begingroup$
I would recommend to very carefully check the directions of all the arrows. It might also be helpful to write out your reasons why the expressions should be this way.
$endgroup$
– David K
Dec 13 '18 at 15:16
$begingroup$
If I say "People who preserve the environment do not leave garbage in the woods" is the same of saying "If you don't leave garbage in the woods then you preserve the environment". Is it wrong?
$endgroup$
– Gold
Dec 13 '18 at 15:46
$begingroup$
What if you don't leave garbage in the woods, but you light fires in the woods? Do you preserve the environment ("If you don't leave garbage in the woods then you preserve the environment") or not ("People who preserve the environment do not light fires in the woods")?
$endgroup$
– David K
Dec 13 '18 at 16:43
$begingroup$
"People who failed all their exams do not have degrees from Yale." "If you do not have a degree from Yale, you failed all your exams." Are these also the same?
$endgroup$
– David K
Dec 13 '18 at 16:47
$begingroup$
ok, it is clear now, thanks a lot.
$endgroup$
– Gold
Dec 13 '18 at 17:06