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## #1 2007-09-18 16:47:47

Ricky
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Registered: 2005-12-04
Posts: 3,791

### Conclusive words

When writing a proof, I often tend to repeat words a lot.  In a 6 line proof, I once counted "there must be" 9 times.  To have some variety, try to add to the list.

As such
Consequently
Ergo
Hence
It follows that
It must be
So
Then
Thence
Therefore
This means
Thus
We must conclude

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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## #2 2007-09-18 17:08:08

Identity
Member
Registered: 2007-04-18
Posts: 934

We must conclude
Thence
It follows that

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## #3 2007-09-18 18:21:46

MathsIsFun
Registered: 2005-01-21
Posts: 7,696

### Re: Conclusive words

Accordingly
Ergo
Logically
Reasonably (nyeah)
"An intelligent person could then ..."

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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## #4 2007-09-19 00:57:54

landof+
Member
Registered: 2007-03-24
Posts: 131

### Re: Conclusive words

I shall be on leave until I say so...

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## #5 2007-09-19 01:50:10

Identity
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Registered: 2007-04-18
Posts: 934

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## #6 2007-09-19 02:06:53

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: Conclusive words

Last edited by JaneFairfax (2007-09-20 08:48:00)

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## #7 2007-09-19 03:20:43

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

### Re: Conclusive words

Symbols are typically best avoided and besides, they mean "then" and "therefore", so there is no difference.  Let does not seem to be a word you would use to conclude something, can you give an example Jane?  And I've never heard of the word "thence", good find.

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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## #8 2007-09-19 04:35:24

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

### Re: Conclusive words

As a closing statement, ...

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## #9 2007-09-19 04:50:10

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

### Re: Conclusive words

I wouldn't include "Let" in that list. That's more of a defining word.

Why did the vector cross the road?
It wanted to be normal.

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## #10 2017-04-29 10:09:45

zetafunc
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Registered: 2014-05-21
Posts: 2,266
Website

### Re: Conclusive words

"The rest is trivial."

Better yet, "the rest is left as an exercise for the reader".

Last edited by zetafunc (2017-04-29 10:17:40)

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