The difference between Come into being and Take shape
When used as verbs, come into being means to form, whereas take shape means to take a definite form.
check bellow for the other definitions of Come into being and Take shape
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Come into being as a verb (idiomatic):
To form; to start to exist.
Examples:
"Sociologists would like to study how this phenomenon came into being."
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Take shape as a verb (intransitive, often, figurative):
To take a definite form.
Examples:
"After two hours of discussion, our plans began to take shape."