1. (verb) invent, contrive, devise, excogitate, formulate, forge
come up with (an idea, plan, explanation, theory, or principle) after a mental effort
"excogitate a way to measure the speed of light"
2. (verb) chew over, think over, meditate, ponder, excogitate, contemplate, muse, reflect, mull, mull over, ruminate, speculate
reflect deeply on a subject
"I mulled over the events of the afternoon"; "philosophers have speculated on the question of God for thousands of years"; "The scientist must stop to observe and start to excogitate"
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Definitions of excogitate 
