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理則學 練習23 範例 第二部分 (取自梅子姐)
2008/04/10 20:58:28瀏覽328|回應0|推薦0

C-2 There is a courthouse in every town. 

述詞以符號取代: 

Cx: x is a courthouse;

Tx: x is a town;

Ixy: x is in y 

  

There is a courthouse in every town 

每個城鎮都有一個法院 

處理主詞部份 

加入代名詞: 

There is at least one thing such that it is a courthouse and it is in every town 

至少有一事物,它是法院,且它座立於每個城鎮裡 

代名詞轉變元: 

There is at least one thing x such that x is a courthouse and x is in every town 

至少有一事物xx是法院,且x座立於每個城鎮裡 

量詞符號化: 

(x)(x is a courthouse and x is in every town) 

(x)(x是法院,且x座立於每個城鎮裡) 

處理受詞部份 

加入代名詞: 

(x)(x is a courthouse and each thing such that if it is a town then x is in it) 

(x)(x是法院,且無論事物為何,若它是城鎮,則x座落於它之內) 

代名詞轉變元: 

(x)(x is a courthouse and each thing y such that if y is a town then x is in y) 

(x)(x是法院,且y為何事物,若y是城鎮,則x座落於y之內) 

量詞符號化: 

(x)[x is a courthouse and (y)( if y is a town then x is in y)] 

(x)[x是法院,且(y)(y是城鎮,則x座落於y之內)] 

述詞符號化: 

(x)[Cx&(y)(TyIxy)] 

 

D-2 There is a woman to whom everyone listens. Therefore, there is a woman who listens to herself. 

中譯:有一個每個人都會服從於她的女人。 

因此,有一個會服從於自己的女人 

論域設置在「人」 

述詞以符號取代:“Wx:x is a woman; Lxy:x listens to y 

先處理前提的部份 

  

There is a woman to whom everyone listens 

有一個每個人都會服從於她的女人 

處理主詞部份 

加入代名詞: 

There is at least a person such that she is a woman and everyone listens to her 

至少有一人,她是女人且每個人都會服從於她 

代名詞轉變元: 

There is at least a person x such that x is a woman and everyone listens to x 

至少有一人xx是女人且每個人都會服從於x 

量詞符號化: 

(x)(x is a woman and everyone listens to x) 

(x)(x是女人且每個人都會服從於x) 

處理受詞部份 

加入代名詞: 

(x)(x is a woman and each one such that he/she listens to x) 

(x)(x是女人且無論是誰,他/她會服從於x) 

代名詞轉變元: 

(x)(x is a woman and each one y such that y listens to x) 

(x)(x是女人且無論y是誰,y服從於x) 

量詞符號化: 

(x)[x is a woman and (y)(y listens to x)] 

(x)[x是女人且(y)(y服從於x)] 

述詞符號化: 

(x)(Wx&(y)Lyx) 

 

 

  

there is a woman who listens to herself 

有一個會服從於自己的女人 

處理主詞部份 

加入代名詞: 

There is at least a person such that she is a woman and she listens to herself 

至少有一人,她是女人且她會服從於她自己 

代名詞轉變元: 

There is at least a person x such that x is a woman and x listens to x 

至少有一人xx是女人且x會服從於x 

量詞符號化: 

(x)(x is a woman and x listens to x) 

(x)(x是女人且x會服從於x) 

述詞符號化: 

(x)(Wx&Lxx) 

 

因此,論證述詞符號化後變成:(∃x)(Wx&(y)Lyx) / ∴

( 知識學習隨堂筆記 )
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