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QUESTION 10
a)
Dx=x is a democrat
Rx=x is a democrat who likes republicans
UD=all democrats
¬Vx(Dx->Rx)
B)
a=adams
Dx=x can do every job right
Da=adams can do every job right
UD:all jobs
¬Ǝx(Da)
c)
a=Adams
Dx=x can do every job right
Da=Adams can do every job right
¬Vx(Da)
d)
Dx=is a farmer who owns a donkey
Hx=is a farmer who needs hay
UD=all farmers
Dx->Hx
e)Nx=x is a natural number
Lx=x is less than 0
¬Ǝx(Nx≤Lx)
Question 11
1
ƎxFx->VyMy
2
Ǝx->Vyy
3
Vx((Vy&My)->)
˄E,1
4
¬Fx
˅E,3
5
¬(Vy&My)
˅E,3
6
¬Vy˅My
MT,4,5
7
Vy
DeM,6
8
¬My
˅E,7,
Question 12
Mx=Mona lisa is a beautiful picture
Sx=Mona lisa is stolen
Ǝx(Sx->Mx)
1
2
Ǝx(Sx->Mx)
Vx->Mx
Vx((Mx&Sx)->Sx)
3
(Mx&Sx)->Mx
4
5
6
7
8
¬Mx
¬(Mx&Sx)
¬Mx˅Sx
Sx
¬Mx
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