"pragmatic mind" is correct and usable in written English.
You could use it to describe a person who is logical and practical in their approach to problem solving or making decisions. For example, "The CEO had a pragmatic mind and was able to make decisions quickly and efficiently."
His decision to take up the flute is in itself evidence of a pragmatic mind at work.
A year ago, the country rallied behind a new president who promised to end the pendulumlike swings, who seemed likely to restore equilibrium with his moderate temper and pragmatic mind.
To say Gandhi would look at villages today the same way as he looked at villages 100 years ago is to do no justice to Gandhi, who had an extraordinarily flexible mind, a pragmatic mind.
Relatively early Ms. Goldman felt herself most drawn to the Coops and the Amalgamated — one endeavor that faltered, one that still functions; one tied to Marxist principles, one connected to the more pragmatic minds of a labor union.
Draghi and other pragmatic, practically minded European policymakers have pressed for a banking union and cross-border supervision to share the debts among member states.
And the authorities, for reasons both idealistic and pragmatic, are minded to allow construction.In theory, the London Plan, laid out by the mayor's office, determines the city's shape.
Sturm had a pragmatic cast of mind.
Finally Howe's wife, Colleen, took over the financial matters with a more pragmatic frame of mind.
It is a job that lends itself to the pragmatic cast of mind that allowed them to become successful in the first place.
The genius lay in his pragmatic cast of mind and in his instinct for assessing the particular talents and motivations of other men and turning those talents and motivations to his advantage.
