incapable of being escaped, ignored, or avoided; ineluctable: inescapable responsibilities.

1785–95; in-3 + escapable

inescapableness, noun
inescapably, adverb Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
inescapable (ˌɪnɪˈskeɪpəbəl)
incapable of being escaped or avoided

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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Example sentences
The cruel paradox of addiction is that it transforms a source of pleasure into
  an inescapable, insatiable need.
Whether they're carved into jack-o'-lanterns or baked into pies, pumpkins are
  inescapable this time of year.
My need to understand the city is perhaps inescapable.
Millions more are agricultural workers trapped in an inescapable cycle of
  extreme poverty, illiteracy, and oppression.
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