# "Therefore" sign

**URL:** <https://boards.straightdope.com/t/therefore-sign/33336>\
**Category:** Factual Questions\
**Created:** [September 15, 2000, 6:20pm UTC](https://boards.straightdope.com/t/therefore-sign/33336 "2000-09-15T18:20:07Z")\
**Posts on this page:** 12\
**Page:** 1

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**Author:** ![amarinth](https://avatars.discourse-cdn.com/v4/letter/a/3be4f8/32.png) [@amarinth](https://boards.straightdope.com/u/amarinth)\
**Post date:** [September 15, 2000, 6:20pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/1 "2000-09-15T18:20:07Z")

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I was asked this several days ago, and I couldn’t find an answer, and its been bugging me ever since.

As I’m sure you know, in mathematical proofs (and other places) three dots arranged in a triangle pointing up is read “therefore.”

Is there a name for that punctuation/symbol/shorthand? Is it just the therefore sign?

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**Author:** ![Celyn](https://avatars.discourse-cdn.com/v4/letter/c/9dc877/32.png) [@Celyn](https://boards.straightdope.com/u/Celyn)\
**Post date:** [September 15, 2000, 6:25pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/2 "2000-09-15T18:25:32Z")

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Hello, Amarinth, nice to meet you, although I wish I hadn’t read your question! It hadnt’t occurred to me before, but I don’t know a name for it either, and it’s going to bug me now. Nor do I know a name for the same symbol reversed - I hope someone clever knows both, because I can see it would be a really difficult thing to look up anywhere.

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**Author:** ![AWB](https://avatars.discourse-cdn.com/v4/letter/a/bb73d2/32.png) [@AWB](https://boards.straightdope.com/u/AWB)\
**Post date:** [September 15, 2000, 6:26pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/3 "2000-09-15T18:26:53Z")

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My Mathematics Dictionary says it means therefore or hence. But no name specifically.

“Hence Sign” is shorter, but sounds funny. (“ensign”? “head sign”?)

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**Author:** ![stuyguy](https://avatars.discourse-cdn.com/v4/letter/s/ec9cab/32.png) [@stuyguy](https://boards.straightdope.com/u/stuyguy)\
**Post date:** [September 15, 2000, 6:38pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/4 "2000-09-15T18:38:14Z")

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I’ll just second AWB’s post.

My type/copy editing reference sources call it a “therefore” or “hence” sign. The reverse (triange of dots, pointing down) is simply the “because” sign.

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**Author:** ![Keeve](https://avatars.discourse-cdn.com/v4/letter/k/f07891/32.png) [@Keeve](https://boards.straightdope.com/u/Keeve)\
**Post date:** [September 15, 2000, 7:40pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/5 "2000-09-15T19:40:58Z")

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No, it doesn’t seem to have a name. Check it out at [Symbols.com](http://Symbols.com) – [http://www.symbols.com/encyclopedia/44/441.html](http://www.symbols.com/encyclopedia/44/441.html)

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**Author:** ![Kyberneticist](https://avatars.discourse-cdn.com/v4/letter/k/dc4da7/32.png) [@Kyberneticist](https://boards.straightdope.com/u/Kyberneticist)\
**Post date:** [September 15, 2000, 7:49pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/6 "2000-09-15T19:49:05Z")

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Hm. Symbolically speaking, how is:

```auto

                         \
 . ------\
. . different then ------/
                         /

```

Crudely drawn if-then.  
(to be distinguished from)

```auto

 / \
/---------\
\---------/
 \ /

```

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**Author:** ![Sith\_Sheriff\_Brody](https://avatars.discourse-cdn.com/v4/letter/s/a6a055/32.png) [@Sith\_Sheriff\_Brody](https://boards.straightdope.com/u/Sith_Sheriff_Brody)\
**Post date:** [September 16, 2000, 11:10pm UTC](https://boards.straightdope.com/t/therefore-sign/33336/7 "2000-09-16T23:10:33Z")

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To the best of my knowledge, “Therefore” is used in mathematical formulas and proofs, and the arrow-thing (“Yields”?) is used in chemical equations.  
-SSB

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**Author:** ![TheNerd](https://avatars.discourse-cdn.com/v4/letter/t/858c86/32.png) [@TheNerd](https://boards.straightdope.com/u/TheNerd)\
**Post date:** [September 17, 2000, 12:25am UTC](https://boards.straightdope.com/t/therefore-sign/33336/8 "2000-09-17T00:25:06Z")

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=\> is a logical operator.

```auto

 .
. .

```

is used in proofs and theorems, usually in the conclusion.  
Sorry about the formatting.

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**Author:** ![Wanderlust](https://avatars.discourse-cdn.com/v4/letter/w/9fc29f/32.png) [@Wanderlust](https://boards.straightdope.com/u/Wanderlust)\
**Post date:** [September 17, 2000, 12:57am UTC](https://boards.straightdope.com/t/therefore-sign/33336/9 "2000-09-17T00:57:20Z")

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This is your chance at collecting the 15 minutes Andy Worhol envisioned.

Name the symbol and create a website with that name to promote its use.

Don’t be shy because you aren’t a famous mathematician.

America was not named by Columbus the discover, but by a mapmaker that saw a blank spot where a name should be.

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**Author:** ![Kyberneticist](https://avatars.discourse-cdn.com/v4/letter/k/dc4da7/32.png) [@Kyberneticist](https://boards.straightdope.com/u/Kyberneticist)\
**Post date:** [September 17, 2000, 1:53am UTC](https://boards.straightdope.com/t/therefore-sign/33336/10 "2000-09-17T01:53:36Z")

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> [@](#):
>
> \*Originally posted by TheNerd \*  
> \*\*=\> is a logical operator.
> 
> ```auto
> 
> .
> . .
> 
> ```
> 
> is used in proofs and theorems, usually in the conclusion.  
> Sorry about the formatting.\*\*

## Yeah, I’m using it a lot in number theory. It is: A|B|=\>

1|1|1  
0|1|0  
1|0|0  
0|0|1

But the definition of what those two symbols “mean” seems the same  
essentially, I’m wondering if I can start doing:

```auto

   .
A . . B

```

In number theory and comp. sci. boolean arithmetic proofs, just to be cute, or if the three dots are only allowed to indicate a finaly conclusion (sorta like the annoying use of Q.E.D.).

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**Author:** ![Kyberneticist](https://avatars.discourse-cdn.com/v4/letter/k/dc4da7/32.png) [@Kyberneticist](https://boards.straightdope.com/u/Kyberneticist)\
**Post date:** [September 17, 2000, 1:55am UTC](https://boards.straightdope.com/t/therefore-sign/33336/11 "2000-09-17T01:55:28Z")

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It’s always when you type it out and submit it that you notice that you changed  
=\>  
to  
\<=\>  
by screwing up the 1s and 0s

_quiet sobs_  
I have got to start using preview…

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**Author:** ![Damhna](https://avatars.discourse-cdn.com/v4/letter/d/3bc359/32.png) [@Damhna](https://boards.straightdope.com/u/Damhna)\
**Post date:** [September 17, 2000, 11:10am UTC](https://boards.straightdope.com/t/therefore-sign/33336/12 "2000-09-17T11:10:27Z")

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Isnt there also a symbol that is the reverse?  
The triangle upsidedown to indicate “because” or something similar?
