This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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v. To take careful thought or think carefully about; ponder. See Synonyms at think.

v. To meditate, to ponder, to think deeply.

v. To consider, to devise.

verb-intransitive. To engage in continuous thought; to think.

v. To think over; to plan.

To think earnestly or studiously; reflect; ponder; meditate: as, to cogitate upon means of escape.

To revolve in the mind; think about attentively; meditate on; hence, devise or plan: as, he is cogitating mischief.

v. use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments

v. consider carefully and deeply; reflect upon; turn over in one's mind

"To assume is to cogitate is to choose, on whatever grounds and by whatever characteristics."

cogitated    cogitates    cogitating   

muse    speculate    mull over    think over    ruminate    contemplate    ponder    chew over    meditate    mull   

cogitation    cogibundity   

relate    concentrate    reason    centre    speculate    study    think over    ruminate    contemplate    ponder   

cogitated    cogitating   

think    plan    consider    devise    ponder