SolutionsGroup5: Difference between revisions
No edit summary |
|||
| (19 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
On this page, you can find the solutions to the excercises on Quantifiers. | On this page, you can find the solutions to the excercises on Quantifiers. | ||
| Line 6: | Line 7: | ||
Sorry, this is not correct. | Sorry, this is not correct. | ||
In restricted quantifier notation, the | In restricted quantifier notation, the "complete" semantic representation of the noun phrase (NP) appears in the restrictor (-> square brackets). | ||
[[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | ||
== Types Quantifiers 2d == | == Types Quantifiers 2d == | ||
[Every x: SCULPTURE(x) & MAKE (r, x)] SIGN (r, x) | '''''Ramon signs every sculpture he makes.''''' | ||
'''2b) Universal Quantifier''' | |||
∀x (SCULPTURE (x) & MAKE (r, x) → SIGN (r, x)) | |||
''"For every thing x, if x is a sculpture and x is made by Ramon (r) then x is signed by Ramon (r)."'' | |||
Since Ramon ''makes'' and ''signs'' the sculptures, the corresponding variables are (r, x). | |||
'''2c) Restricted Quantifier''' | |||
[Every x: SCULPTURE (x) & MAKE (r, x)] SIGN (r, x) | |||
Here, the N' is "sculpture he makes" and therefore belongs in square brackets together with the Quantifier ''every''. | |||
[[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | ||
== Scopal Ambiguity 3a == | == Scopal Ambiguity 3a == | ||
In this sentence, the scopal ambiguity is created by the two quantifiers | In this sentence, the scopal ambiguity is created by the two quantifiers ''everyone'' and ''someone''. | ||
When looking at the two pictures that try to help you, you can see two possible readings: | When looking at the two pictures that try to help you, you can see two possible readings: | ||
| Line 27: | Line 94: | ||
2. There is one person that is loved by everyone else. | 2. There is one person that is loved by everyone else. | ||
[[NMTS-Group5#Scopal_Ambiguity|Return to Excercise]] | [[NMTS-Group5#Scopal_Ambiguity|Return to Excercise]] | ||
== Restricted Quantifiers 1c == | == Restricted Quantifiers 1c == | ||
| Line 34: | Line 126: | ||
Sorry, this is not correct. | Sorry, this is not correct. | ||
In restricted quantifier notation, the noun phrase | In restricted quantifier notation, the semantic representation of the noun phrase (NP) appears in the restrictor. | ||
[[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | ||
| Line 48: | Line 164: | ||
Maybe you want to check the possible answers once more. | Maybe you want to check the possible answers once more. | ||
[[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | ||
== Types Quantifiers 2b == | == Types Quantifiers 2b == | ||
Yes, this is correct. | Yes, this is correct. | ||
Check if there is another correct answer! | |||
[[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | ||
== Restricted Quantifiers 1b == | == Restricted Quantifiers 1b == | ||
Yes, this is correct. | Yes, this is correct. | ||
[[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | ||
== Types Quantifiers 2c == | == Types Quantifiers 2c == | ||
Yes, this is correct. | |||
Check if there is another correct answer! | |||
[[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Different_types_of_Quantifiers|Return to Excercise]] | ||
| Line 75: | Line 293: | ||
Sorry, this is not correct. | Sorry, this is not correct. | ||
In restricted quantifier notation, the | In restricted quantifier notation, the semantic representation of the noun phrase (NP) appears in the restrictor. | ||
[[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | [[NMTS-Group5#Restricted_Quantifiers|Return to Excercise]] | ||
| Line 84: | Line 326: | ||
1. For every person there is at least one person who loves him / her: | 1. For every person there is at least one person who loves him / her: | ||
∀x (PERSON (x) | ∀x (PERSON (x) → ∃y (PERSON (y) & LOVE (x, y)) | ||
2. There is one person that is loved by everyone: | 2. There is one person that is loved by everyone: | ||
∃x (PERSON (x) | ∃x (PERSON (x) → ∀y (PERSON (y) & LOVE (y, x)) | ||
[[NMTS-Group5#Scopal_Ambiguity|Return to Excercise]] | [[NMTS-Group5#Scopal_Ambiguity|Return to Excercise]] | ||
== Placeholder == | == Placeholder == | ||
Latest revision as of 11:42, 9 April 2013
On this page, you can find the solutions to the excercises on Quantifiers.
Restricted Quantifiers 1a
Sorry, this is not correct.
In restricted quantifier notation, the "complete" semantic representation of the noun phrase (NP) appears in the restrictor (-> square brackets).
Types Quantifiers 2d
Ramon signs every sculpture he makes.
2b) Universal Quantifier
∀x (SCULPTURE (x) & MAKE (r, x) → SIGN (r, x))
"For every thing x, if x is a sculpture and x is made by Ramon (r) then x is signed by Ramon (r)."
Since Ramon makes and signs the sculptures, the corresponding variables are (r, x).
2c) Restricted Quantifier
[Every x: SCULPTURE (x) & MAKE (r, x)] SIGN (r, x)
Here, the N' is "sculpture he makes" and therefore belongs in square brackets together with the Quantifier every.
Scopal Ambiguity 3a
In this sentence, the scopal ambiguity is created by the two quantifiers everyone and someone.
When looking at the two pictures that try to help you, you can see two possible readings:
1. For every person there is, there is at least one other person who loves him / her.
2. There is one person that is loved by everyone else.
Restricted Quantifiers 1c
Sorry, this is not correct.
In restricted quantifier notation, the semantic representation of the noun phrase (NP) appears in the restrictor.
Types Quantifiers 2a
Sorry, this is not correct.
Existential quantifiers are used for sentences that represent something that exists.
Of course, you could argue that there is a Person x such that x is called Ramon and x makes (and then signs) sculptures - but this is not what we were going for.
Maybe you want to check the possible answers once more.
Types Quantifiers 2b
Yes, this is correct.
Check if there is another correct answer!
Restricted Quantifiers 1b
Yes, this is correct.
Types Quantifiers 2c
Yes, this is correct.
Check if there is another correct answer!
Restricted Quantifiers 1d
Sorry, this is not correct.
In restricted quantifier notation, the semantic representation of the noun phrase (NP) appears in the restrictor.
Scopal Ambiguity 3b
1. For every person there is at least one person who loves him / her:
∀x (PERSON (x) → ∃y (PERSON (y) & LOVE (x, y))
2. There is one person that is loved by everyone:
∃x (PERSON (x) → ∀y (PERSON (y) & LOVE (y, x))
Placeholder
This is just a placeholder in order to make sure the links work correctly, independently of the size of the PC-screen.
This is just a placeholder in order to make sure the links work correctly, independently of the size of the PC-screen.