1. (∀x)[(Px • Qx) ⊃ Rf(x)]
2. (∀x)[Rx ⊃ (∃y)Pxy]
3. ∼(∀x)(Px ⊃ ∼Qx) / (∃x)(∃y)Pxy
Correct Answer:
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Q290: use the following translation key to write
Q291: 1. (?x)(?y)f(x,y)=f(y,x)
2. (?x)f(x,o)=o / (?x)f(o,x)=o
Q292: 1. (?x)(?y)(Bxy ? Dyx)
2. (?x)Bxf(x) / (?x)Df(x)x
Q293: 1. (?x){Ax ? [Bx • Bf(x)]}
2. ?Bf(f(e))
Q294: 1. (?x)(?y){Pf(x,y) ? [Pf(x,x) • Pf(y,y)]}
2. a=f(d,b)
3.
Q295: 1. (?x)(?y)[f(x)=y ? (Pax • Qay)]
2. ?Pab
Q296: 1. (?x)(?y)(?z)[(Pxy • Pyz) ? Pxz]
2. (?x)Pxf(x)
Q297: 1. (∀x)(∀y)[(Px • Py) ⊃ Pf(x,y)]
2. (∃x)[Px
Q298: 1. (?x){Px ? (?y)[Py • f(x)=y]}
2. Pa
Q300: 1. (∀x)(∀y)(∃z)Sf(x)yz
2. (∀x)(∀y)(∀z)[Sxyz ⊃ ∼(Cxyz
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