[dawg-mat-ik, dog-]
of, pertaining to, or of the nature of a dogma or dogmas; doctrinal.
asserting opinions in a doctrinaire or arrogant manner; opinionated.
Also, dogmatical.

1595–1605; < Late Latin dogmaticus < Greek dogmatikós, equivalent to dogmat- (stem of dógma dogma) + -ikos -ic

dogmatically, adverb
dogmaticalness, noun
antidogmatic, adjective
antidogmatical, adjective
antidogmatically, adverb
nondogmatic, adjective
nondogmatical, adjective
nondogmatically, adverb
overdogmatic, adjective
overdogmatical, adjective
overdogmatically, adverb
overdogmaticalness, noun
undogmatic, adjective
undogmatical, adjective
undogmatically, adverb

2. arbitrary, imperious, dictatorial. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
dogmatic or dogmatical (dɒɡˈmætɪk)
1.  a.  (of a statement, opinion, etc) forcibly asserted as if authoritative and unchallengeable
 b.  (of a person) prone to making such statements
2.  of, relating to, or constituting dogma: dogmatic writings
3.  based on assumption rather than empirical observation
dogmatical or dogmatical
dog'matically or dogmatical

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

1680s, from L. dogmaticus, from Gk. dogmatikos, from dogma (see dogma).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Pragmatic and dogmatic libertarians: Both favor very small government.
But those looking for a less dogmatic argument will be disappointed.
Because science isn't dogmatic.
The final statement in the quote is simply a dogmatic assertion.
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