Philosopher. Born in Edinburgh, and educated at the University of Glasgow under Thomas Reid (1710-96). He shared the Chair of Mathematics at the University of Edinburgh with his father between 1775 and 1785, then succeeding Adam Ferguson (1723 - 1816) to the Chair of Moral Philosophy. Published "Outlines of Moral Philosophy". A follower of the 'Common-Sense' philosophy, he systematised the doctrine of the Scottish School, allowing full share to psychological considerations.
It was Stewart who first compared the city of Edinburgh to Athens, giving rise to its soubriquet as the Athens of the North.
Stewart is buried in Edinburgh's Canongate Kirkyard.