a positive statement or declaration, often without support or reason: a mere assertion; an unwarranted assertion.
an act of asserting.

1375–1425; late Middle English assercion < Latin assertiōn- (stem of assertiō). See assert, -ion

assertional, adjective
misassertion, noun
nonassertion, noun
overassertion, noun
reassertion, noun
superassertion, noun

1. claim, contention, allegation. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
assertion (əˈsɜːʃən)
1.  a positive statement, usually made without an attempt at furnishing evidence
2.  the act of asserting

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

early 15c., from O.Fr. assertion (14c.), from L.L. assertionem (nom. assertio), noun of action from L. asserere "claim rights over something, state, maintain, affirm," from ad- "to" + serere "join" (see series). By "joining oneself" to a particular view, one "claimed" or "maintained" it.
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

assertion definition

1. An expression which, if false, indicates an error. Assertions are used for debugging by catching can't happen errors.
2. In logic programming, a new fact or rule added to the database by the program at run time. This is an extralogical or impure feature of logic programming languages.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
But currently all I see is an unsubstantiated assertion.
Few contemporary data support the assertion that eyewitnesses are important in
  police investigations.
The final statement in the quote is simply a dogmatic assertion.
Their assertion is that 10% of Americans determine how the rest consume and
  live by chatting about their likes and dislikes.
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