Symbolic / mathematical Logic

2008-03-10 4:04 am
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完全唔識點把d statement 轉成 logic 寫法...
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Let f(A) be the predicate "A is a finite set” an s(A,B) be the predicate "A is a subset of B”
Suppose the universe of discourse consists of all sets. Translate the statement into symbols.
a) Not all sets are finite. (5 marks)
b) Every subset of a finite set is finite. (7 marks)
c) No infinite set is a subset of finite set. (8 marks)

回答 (1)

2008-03-10 4:22 am
✔ 最佳答案
(a)
∃X ~f(X)

(b)
∀Y f(Y) = >∀X s(X,Y)= > f(X)

or ∀Y ∀X s(X,Y) ∩ f(Y) = > f(X)

(c)
∀X ∀Y ~f(X) = > ~ s(X,Y)


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