Presticogitation

pres ti cog i ta tion : noun
the manipulation of thoughts, sleight of thought.

A combination of the french Prestige (The reputation or influence arising from success, achievement, rank, or other favorable attributes. ) and Cogitate (To think hard; ponder; meditate: to cogitate about a problem. )

The word was derived from the word Prestidigitation; meaning slight of hand.

Related forms:
pres ti cog i ta tor, noun
pres ti cog i ta to ry

From Wiktionary protogisms:

"presticogitation":-noun, 1. A form of entertainment involving the manipulation and use of thoughts. i.e. slight of mind. 2. a swift and calculated feat of mental prowess which serves to make others agree with you and/or do something.