excogitating

'excogitating'

[invent.v.01] as in: come up with (an idea, plan, explanation, theory, or principle) after a mental effort

Examples:
excogitate a way to measure the speed of light

'excogitating'

[chew_over.v.01] as in: reflect deeply on a subject

Examples:
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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