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

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

We must conclude

Thence

It follows that

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,660

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

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

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

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

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

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

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

As a closing statement, ...

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

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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"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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