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concurrence (n.)

early 15c., "a combination for some purpose, cooperation" (a sense now archaic or obsolete), from Old French concurrence (14c.) or directly from Medieval Latin concurrentia "a running together," from concurrens, present participle of concurrere "to run together, assemble hurriedly; clash, fight," in transferred use, "to happen at the same time," from assimilated form of com "together" (see con-) + currere "to run" (from PIE root *kers- "to run").

Sense of "occurrence together in time, coincidence" is from c. 1600. Meaning "accordance in opinion" is from 1660s.

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Definitions of concurrence from WordNet

concurrence (n.)
agreement of results or opinions;
Synonyms: concurrency
concurrence (n.)
acting together, as agents or circumstances or events;
Synonyms: concurrency
concurrence (n.)
a state of cooperation;
Synonyms: meeting of minds
concurrence (n.)
the temporal property of two things happening at the same time;
Synonyms: coincidence / conjunction / co-occurrence
From wordnet.princeton.edu