<p>In Set Theory("集合论"), mutually exclusive is "互斥" and opposite set is "对立"
<a href="https://book.douban.com/subject/1801399/" rel="nofollow">集合论基础</a>
<a href="https://logic.wikischolars.columbia.edu/file/view/Jech,+T.+J.+(2003).+Set+Theory+(The+3rd+millennium+ed.).pdf" rel="nofollow">Set Theory-Jech</a></p>

CC BY-SA 3.0
2016-07-31T11:49:25.553Z
2016-07-31T11:49:25.553Z
panty
<p>are you looking for "contradictory", in mathematic, it would be:</p>

<p>"contradictory opposite"　"矛盾否定"</p>

<p>"contradictory propositions"　"矛盾命題"</p>

<p>教育研究院, of taiwan has documentations of bilingual academic terms, the mathematical one is here, you may download it:</p>

<p><a href="http://terms.naer.edu.tw/download/301/" rel="nofollow">http://terms.naer.edu.tw/download/301/</a></p>

CC BY-SA 3.0
2016-07-30T06:29:12.603Z
2016-07-30T06:29:12.603Z
水巷孑蠻
<p>I guess your mean you are writing math proofs and want to say something like "A holds, or B holds, but not both".</p>

<p>I seldom write proofs in Chinese nor am I a math student, but I do read a little bit math written in Chinese.</p>

<p>I think "A成立，或B成立，但非同時" is perfectly fine and clear.</p>

<p>However, if you do want to be academic, then the translation for Exclusive Or in Mathematics is "異或". So you can say "A異或B". But I doubt how many people understand except the math guys.</p>

<p>If what you mean is not "are not both true" but "cannot both be true", or "mutually exclusive", then "互斥" suggested in another answer sounds like the correct choice.</p>

CC BY-SA 3.0
2016-08-02T02:46:30.610Z
2016-08-02T23:35:26.437Z
2016-08-02T23:35:26.437Z
velut luna
<p>This means:</p>

<p>If I have two conditions, ONLY one can be true.</p>

<p>Either A or B is true. We cannot make two conditions (both A &amp; B) become true.</p>

CC BY-SA 3.0
2016-11-27T14:16:48.350Z
2016-11-28T01:14:10.473Z
2016-11-28T01:14:10.473Z
H.Seam
<p>Is there any reference book from which I can learn the basic usages applied to the proofs in mathematics?
I met several problems these days, for instance, "两者不能同时成立" seems hard for me.
Thank you!</p>

CC BY-SA 3.0
2016-08-03T00:05:51.317Z
Could you give the context?  What sort of math do you see this in?
Colin McLarty
CC BY-SA 3.0
2016-08-03T15:45:12.997Z
Yes, please provide some context. 两者不能同时成立 is often seen in math proofs, so you can just use it.
jf328
<translation><vocabulary><terminology>
In mathematics, how to express "两者不能同时成立"?
# In mathematics, how to express "两者不能同时成立"?

(Asked by: username_0 on 2016-07-30)

Is there any reference book from which I can learn the basic usages applied to the proofs in mathematics?
I met several problems these days, for instance, "两者不能同时成立" seems hard for me.
Thank you!

**Tags:** translation, vocabulary, terminology

> **Comments:**
> **username_1**: Could you give the context?  What sort of math do you see this in?  
> **username_2**: Yes, please provide some context. 两者不能同时成立 is often seen in math proofs, so you can just use it.  

---

## 4 answers

### Answer by username_3 on 2016-07-31. Score: 1

In Set Theory("集合论"), mutually exclusive is "互斥" and opposite set is "对立"
[集合论基础](https://book.douban.com/subject/1801399/)
[Set Theory-Jech](https://logic.wikischolars.columbia.edu/file/view/Jech,+T.+J.+(2003).+Set+Theory+(The+3rd+millennium+ed.).pdf)


---

### Answer by username_4 on 2016-07-30. Score: 1

are you looking for "contradictory", in mathematic, it would be:

"contradictory opposite"　"矛盾否定"

"contradictory propositions"　"矛盾命題"

教育研究院, of taiwan has documentations of bilingual academic terms, the mathematical one is here, you may download it:

<http://terms.naer.edu.tw/download/301/>


---

### Answer by username_5 on 2016-08-02. Score: 1

I guess your mean you are writing math proofs and want to say something like "A holds, or B holds, but not both".

I seldom write proofs in Chinese nor am I a math student, but I do read a little bit math written in Chinese.

I think "A成立，或B成立，但非同時" is perfectly fine and clear.

However, if you do want to be academic, then the translation for Exclusive Or in Mathematics is "異或". So you can say "A異或B". But I doubt how many people understand except the math guys.

If what you mean is not "are not both true" but "cannot both be true", or "mutually exclusive", then "互斥" suggested in another answer sounds like the correct choice.


---

### Answer by username_6 on 2016-11-27. Score: -1

This means:

If I have two conditions, ONLY one can be true.

Either A or B is true. We cannot make two conditions (both A & B) become true.


---

