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Assume (verb)
to authenticate by means of belief; to surmise; to suppose to be true, especially without proof
“We assume that, as her parents were dentists, she knows quite a bit about dentistry.”
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Assume (verb)
to take on a position, duty or form
“Mr. Jones will assume the position of a lifeguard until a proper replacement is found.”
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Assume (verb)
to adopt a feigned quality or manner
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Assume (verb)
to receive, adopt
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Assume (verb)
to adopt an idea or cause
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Surmise (noun)
Thought, imagination, or conjecture, which may be based upon feeble or scanty evidence; suspicion; guess.
“surmises of jealousy or of envy”
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Surmise (noun)
Reflection; thought; posit.
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Surmise (verb)
To conjecture; to posit with contestable premises.
Wiktionary