[thair-fawr, -fohr]
in consequence of that; as a result; consequently: I think; therefore I am.

1125–75; Middle English ther(e)fore, variant of therfor therefor

therefor, therefore (see synonym study at the current entry).

hence, whence. Therefore, wherefore, accordingly, consequently, so, then all introduce a statement resulting from, or caused by, what immediately precedes. Therefore (for this or that reason) and wherefore (for which reason) imply exactness of reasoning; they are especially used in logic, law, mathematics, etc., and in a formal style of speaking or writing. Accordingly (in conformity with the preceding) and consequently (as a result, or sequence, or effect of the preceding), although also somewhat formal, occur mainly in less technical contexts. So (because the preceding is true or this being the case) and then (since the preceding is true) are informal or conversational in tone. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To therefore
World English Dictionary
therefore (ˈðɛəˌfɔː)
sentence connector
1.  thus; hence: used to mark an inference on the speaker's part: those people have their umbrellas up: therefore, it must be raining
2.  consequently; as a result: they heard the warning on the radio and therefore took another route

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

O.E. þærfore; from there + fore, O.E. and M.E. collateral form of for. Since c.1800, therefor has been used in sense of "for that, by reason of that;" and therefore in sense of "in consequence of that."
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The result of his trial, therefore, could hardly have been other than a
  foregone conclusion.
Therefore, the pattern of oceanic winds should matter a lot to their survival,
  especially during breeding season.
Red oak is known to be a more porous wood and therefore more likely to leak.
Marine biologists say that giant squid therefore can act as an indicator of
  deep-sea pollution.
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