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I could use some help symbolizing these sentences, I have doubts about my own answers. Any
help would be appreciated.
Let Fx-x is a female, Mx-x is a male, Sxy-x is sibling of y, Pxy-x is parent of y,
b-Britney,Mxy-x is the spouse of y,Lxy-x likes y,Lx-x is lard dip
1. Some grandfathers are not fathers.
2. Britney's niece likes lard dip.
3. Britney has no husband but does have two children.
Solution
1. False, a Grandfather would be (Ex)(Ey)(Ez)(Mx & Pxy & Pyz) and a Father would be
(Ex)(Ey)(Mx & Pxy). To be a grandfather and not a father: (Ex)(Ey)(Ez)(Mx & Pxy & Pyz &
~Pxy). It contradicts itself.
2. To be Britney's Neice: (Ex)(Ey)(Sbx & Pxy) and so (Ex)(Ey)(Sbx & Pxy & Lz & Lyz)
3. Britney has no husband : ~(Ex)(Mx & Mxb) and Britney has two kids: (Ey)Pby & (Ez)Pbz.
So, ~(Ex)(Mx & Mxb) & (Ey)Pby & (Ez)Pbz

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I could use some help symbolizing these sentences, I have doubts abo.pdf

  • 1. I could use some help symbolizing these sentences, I have doubts about my own answers. Any help would be appreciated. Let Fx-x is a female, Mx-x is a male, Sxy-x is sibling of y, Pxy-x is parent of y, b-Britney,Mxy-x is the spouse of y,Lxy-x likes y,Lx-x is lard dip 1. Some grandfathers are not fathers. 2. Britney's niece likes lard dip. 3. Britney has no husband but does have two children. Solution 1. False, a Grandfather would be (Ex)(Ey)(Ez)(Mx & Pxy & Pyz) and a Father would be (Ex)(Ey)(Mx & Pxy). To be a grandfather and not a father: (Ex)(Ey)(Ez)(Mx & Pxy & Pyz & ~Pxy). It contradicts itself. 2. To be Britney's Neice: (Ex)(Ey)(Sbx & Pxy) and so (Ex)(Ey)(Sbx & Pxy & Lz & Lyz) 3. Britney has no husband : ~(Ex)(Mx & Mxb) and Britney has two kids: (Ey)Pby & (Ez)Pbz. So, ~(Ex)(Mx & Mxb) & (Ey)Pby & (Ez)Pbz