False: Assuming something is infinite (unbounded) is not the same as coercing it to a representation of infinity. Neither of those examples when represented in code would require a declaration that thing=infinity. That aside, game theory often assumes players have unbounded computational resources and a perfect understanding of the game, but never omniscience.
A better term is "logical omniscience".
As per a recent comment this thread is meant to voice contrarian opinions, that is anything this community tends not to agree with. Thus I ask you to post your contrarian views and upvote anything you do not agree with based on personal beliefs. Spam and trolling still needs to be downvoted.