Question 1

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Some cheetahs are faster than all lions.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 2

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-No tiger is faster than all cheetahs.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 3

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-No lion is faster than some tigers.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 4

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Some lions are larger than all cheetahs.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 5

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Some tigers and all cheetahs are faster than all lions.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 6

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-All lions and tigers are larger than some cheetahs, but not faster than all cheetahs.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 7

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Some cheetahs that are not larger than any lion are faster than some tigers.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 8

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Any lion larger than all cheetahs is not faster than any tiger.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 9

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-No cheetahs that are larger than some tiger are faster than all lions or tigers.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 10

Translate each sentence into predicate logic, using the given translation keys.
use:
Cx: x is a cheetah
Lx: x is a lion Tx: x is a tiger
Fxy: x is faster than y 
Lxy: x is larger than y
-Some lion is faster than all tigers if, and only if, some cheetah is larger than any tiger faster than it.

Accepted Answer

The answer of Translate each sentence into predicate logic, using...

Question 11

translate each sentence of predicate logic into natural, English sentences using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-(∀x)[Nx ⊃ (Ox ⊃ ∼Ex)]

Accepted Answer

The answer of translate each sentence of predicate logic into...

Question 12

translate each sentence of predicate logic into natural, English sentences using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-∼(∃x)(Nx • Gxx)

Accepted Answer

The answer of translate each sentence of predicate logic into...

Question 13

translate each sentence of predicate logic into natural, English sentences using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-(∃x)[(Nx • ∼Ex) • Gxt]

Accepted Answer

The answer of translate each sentence of predicate logic into...

Question 14

translate each sentence of predicate logic into natural, English sentences using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-(∀x){(Nx • Ox) ⊃ (∃y)[(Ey • Ny) • Gyx)]}

Accepted Answer

The answer of translate each sentence of predicate logic into...

Question 15

translate each sentence of predicate logic into natural, English sentences using the following translation key:
t: two
Ox: x is odd 
Ex: x is even
Nx: x is a number 
Gxy: x is greater than y
-(∀x){(Ex • Nx) ⊃ (∀y)[(Oy • Ny) ⊃ ∼Gxy]}

Accepted Answer

The answer of translate each sentence of predicate logic into...

Question 16

construct a model for each of the given theories in the following domain by assigning members of the domain to the constants used in the theory and sets of members of the domain to the predicates used in the theory.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
-Pa • Pb Cab • ∼Cba

Accepted Answer

The answer of construct a model for each of the...

Question 17

construct a model for each of the given theories in the following domain by assigning members of the domain to the constants used in the theory and sets of members of the domain to the predicates used in the theory.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
-(Pa • Pb) • (Pc • Pd)
(∃x)Cxd • ∼(∃x)Cxa

Accepted Answer

The answer of construct a model for each of the...

Question 18

construct a model for each of the given theories in the following domain by assigning members of the domain to the constants used in the theory and sets of members of the domain to the predicates used in the theory.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
-Ma • Mc
(∃x)Cxc
∼(∃x)(∼Cxc • Mx)

Accepted Answer

The answer of construct a model for each of the...

Question 19

construct a model for each of the given theories in the following domain by assigning members of the domain to the constants used in the theory and sets of members of the domain to the predicates used in the theory.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
-(∀x){Px ⊃ [(∃y)Cxy $ \lor $ (∃y)Cyx]}
Cab • ∼Cba Cac •∼Cca Cad • ∼Cda

Accepted Answer

The answer of construct a model for each of the...

Question 20

construct a model for each of the given theories in the following domain by assigning members of the domain to the constants used in the theory and sets of members of the domain to the predicates used in the theory.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
-(∀x)(Mx ⊃ Px)
∼(∀x)Px
(∀x)[∼Px ⊃ (∀y)Cyx]

Accepted Answer

The answer of construct a model for each of the...

Quiz 5: Full First-Order Logic

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Some cheetahs are faster than all lions.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -No tiger is faster than all cheetahs.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -No lion is faster than some tigers.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Some lions are larger than all cheetahs.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Some tigers and all cheetahs are faster than all lions.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -All lions and tigers are larger than some cheetahs, but not faster than all cheetahs.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Some cheetahs that are not larger than any lion are faster than some tigers.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Any lion larger than all cheetahs is not faster than any tiger.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -No cheetahs that are larger than some tiger are faster than all lions or tigers.

Translate each sentence into predicate logic, using the given translation keys. use: Cx: x is a cheetah Lx: x is a lion Tx: x is a tiger Fxy: x is faster than y Lxy: x is larger than y -Some lion is faster than all tigers if, and only if, some cheetah is larger than any tiger faster than it.

translate each sentence of predicate logic into natural, English sentences using the following translation key: t: two Ox: x is odd Ex: x is even Nx: x is a number Gxy: x is greater than y -(∀x)[Nx ⊃ (Ox ⊃ ∼Ex)]

translate each sentence of predicate logic into natural, English sentences using the following translation key: t: two Ox: x is odd Ex: x is even Nx: x is a number Gxy: x is greater than y -∼(∃x)(Nx • Gxx)

translate each sentence of predicate logic into natural, English sentences using the following translation key: t: two Ox: x is odd Ex: x is even Nx: x is a number Gxy: x is greater than y -(∃x)[(Nx • ∼Ex) • Gxt]

translate each sentence of predicate logic into natural, English sentences using the following translation key: t: two Ox: x is odd Ex: x is even Nx: x is a number Gxy: x is greater than y -(∀x){(Nx • Ox) ⊃ (∃y)[(Ey • Ny) • Gyx)]}

translate each sentence of predicate logic into natural, English sentences using the following translation key: t: two Ox: x is odd Ex: x is even Nx: x is a number Gxy: x is greater than y -(∀x){(Ex • Nx) ⊃ (∀y)[(Oy • Ny) ⊃ ∼Gxy]}