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Translate statement into a logical expression in three differentways by varying the domain and
by using predicates with one andwith two variables!
"Everyone in your school was born in the twentieth century."
Solution
If we let C (x) be “x was born in the 20th century” then we have xB(x) if everyone
in the universe goes to your school, or x(Y(x) B(x)) if the universe is all people. If we let B(x,y)
mean that the person x was born in century Y, then we can rewrite this last one as x(Y(x)
B(x,20th century))

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Translate statement into a logical expression in three differentways.pdf

  • 1. Translate statement into a logical expression in three differentways by varying the domain and by using predicates with one andwith two variables! "Everyone in your school was born in the twentieth century." Solution If we let C (x) be “x was born in the 20th century” then we have xB(x) if everyone in the universe goes to your school, or x(Y(x) B(x)) if the universe is all people. If we let B(x,y) mean that the person x was born in century Y, then we can rewrite this last one as x(Y(x) B(x,20th century))