or的邏輯問題

2010-04-02 3:39 am
假設有a,b,c三種屬性
如果all A is a.
那麼"A is a or b"這句是否成立?
更新1:

*如果all A is a "only".

更新2:

To 忽必裂: All A is a or b = All A is a or not a = All A is a or b or c ???

更新3:

因A is a or b = A is not c 且all A is a only 所以A is a or b is true?

回答 (4)

2010-04-03 8:10 am
✔ 最佳答案
All A is a only

b is not a

All A is a or b = All A is a or not a

('All A is a or not a' is tautological and it is always true.)

Therefore 'All A is a or b' is true.


套套邏輯
參見 http://zh.wikipedia.org/wiki/重言式

2010-04-03 17:08:10 補充:
根據我的論證,
All A is a or b = All A is a or not a 是正確的, 因為 b is not a.

但是,
All A is a or b or c 是否等于 All A is a or b = All A is a or not a 呢?

如果 b ≠ a, c ≠ a 及 c ≠ b,

2010-04-03 17:24:22 補充:
All A is a or b = All A is a or b or c 是錯的, 因為右邊多了一個 "or c"
________________________________________________________

因A is a or b = A is not c
且all A is a only
所以A is a or b is true?

如果你這個論證配合我的論證那就對。

我個人認為 A is a or b = A is not c 不太重要。

2010-07-01 18:26:24 補充:
不好意思,我 (忽必裂) 後來發現: All A is a or b = All A is a or b or c 是錯的, 因為右邊多了一個 "or c"——這句話是錯的。All A is a or b = All A is a or b or c 是對的。

“或” 的意思是 “是但一個”。我們可以在 “=" 兩邊各選出 ”All A is a“ 或 ”All A is b“,可以在 “=” 右邊不選出 ”All A is c"。
2010-04-03 5:05 am
p→pvq
Axiom,or coz correct
2010-04-03 3:55 am
當然成立
A is a or b指的, 係A is a or A is b. 所以呢2個都岩
2010-04-02 5:36 pm


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